The equivalent fraction of 7/12 is 14/24
The given fraction is 7/12
The given fraction is in the form of simple fraction. Simple fraction consist of the numerator and the denominator. The term on the top is called numerator and the term on bottom is called denominator.
The fraction is 7/12
The equivalent fractions means that the value of the both fraction will be equal
To find the equivalent fraction of 7/12 multiply both numerator and the denominator of the simple fraction by the same digit
Here multiply both numerator and denominator by 2
(7×2) / (12 × 2) = 14 / 24
Therefore, the equivalent fraction is 14/24
I have answered the question in general, as the given question is incomplete
The complete question is
What is an equivalent fraction to 7/12?
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Need help ASAP !!!! 50 points
Answer:
Answer is 1
Step-by-step explanation:
f(x) = f(112)
plug in 112 for x to get 112/112
112/112 = 1
the slopes of two lines are 2 and -2. because of this we can conclude these two lines are which of the following?
Answer:
they also can be considerd perpendicular because they interset and make a 90 degree/right angle
Step-by-step explanation:
What is the volume of this cone?
The 218.63506 yd³ volume of the cone and the 4.9 yd radius of the cone indicates that the height of the cone is about 8.7 yards
h ≈ 8.7 yards
What is a cone?A cone is a three dimensional figure that has a circular base and a tapered surface that meets at a point on the top, such that the vertical cross-section of the cone is a triangle.
The volume of the cone = (1/3) × π × r² × h
Where;
r = The length of the radius of the circle
h = The height of the cone
The specified volume of the cone = 218.63506 yd³
The radius of the cone = 4.9 yards
The constant π ≈ 3.14
Therefore;
(1/3) × 3.14 × (4.9 yd)² × h = 218.63506 yd³
h = 218.63506 yd³ ÷ ((1/3) × 3.14 × (4.9 yd)²) = 8.7 yd
The height of the cone. h ≈ 8.7 yards
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You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are blue.
Answer:
Step-by-step explanation:
That means the chance of getting blue = 12/20
12/20 = 6/10
6/10 = 3/5
also, 3/5 = 60%, or .60
One week, Gerard wrote a check for $8.75, deposited $4.50, and wrote another check for $2.50. What was the change to Gerard's bank account that week?
Answer:you have to subtract first and then add the 2.50 and that’s your answer
Step-by-step explanation:
For the following exercise, w: rite the equation of the ellipse in standard form. Then identity the center, vertices, and foci 9x²+36y²-36x + 72y + 36 = 0
The given equation is of an ellipse whose main answer is as follows:$$9x^2 - 36x + 36y^2 + 72y + 36 = 0$$$$9(x^2-4x)+36(y^2+2y)=-36$$$$9(x-2)^2-36+36(y+1)^2-36=0$$$$9(x-2)^2+36(y+1)^2=72$$
Hence, the standard form of the equation of the ellipse is $9(x - 2)^2/72 + 36(y + 1)^2/72 = 1$.Therefore, we can write its summary as follows:
The center of the ellipse is (2, -1), the distance between its center and vertices along the x-axis is 2√2 and the distance between its center and vertices along the y-axis is √2.
Also, the distance between its center and foci along the x-axis is 2 and the distance between its center and foci along the y-axis is √7/2.
hence, The given equation is of an ellipse whose main answer is as follows:$$9x^2 - 36x + 36y^2 + 72y + 36 = 0$$$$9(x^2-4x)+36(y^2+2y)=-36$$$$9(x-2)^2-36+36(y+1)^2-36=0$$$$9(x-2)^2+36(y+1)^2=72$$
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Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3*(2*8)+7 ?
3*(28) + 7 can be rewritten as 316 + 7, which can be further simplified by using the associative property of multiplication and the commutative property of addition as (3*16) + 7 = 48 + 7 = 55
What is the commutative property of addition and the associative property of multiplication?The commutative property of addition states that the order of the numbers being added does not matter, for example, a+b = b+a.
The associative property of multiplication states that the grouping of the numbers being multiplied does not matter, for example, (ab)c = a(bc).
Therefore, the expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3*(2*8)+7 is (3*16) + 7 = 48 + 7 = 55.
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The distance of a Line Segment from from one point on a circle's Circumference, Through the Center to another point on the circle's Circumference is the:
When a line segment is drawn from a point on a circle's circumference, through the center to another point on the circle's circumference, the distance of the line segment is equal to the diameter of the circle.
The diameter is defined as any straight line passing through the center of a circle, connecting two points on the circumference. It is the longest chord of the circle and is also the length of a circle's widest point.
The diameter is an important parameter of a circle, as it determines the circle's size and area. It is related to the circle's radius, which is half the length of the diameter. The diameter is also used in various formulas for calculating the circumference, area, and other properties of circles.
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If (6,39) and (-5,-49) are twoanchor points on the trend line,then find the equation of the line.y = [ ? ]x + [ ]Enter
Step 1: Concept
To find the equation of a line, use the two points form equation of a line formula below.
\(\frac{y-y_1}{x-x_1}\text{ = }\frac{y_2-y_1}{x_2-x_1}\)Step 2:
Write the given data
\(\begin{gathered} (x_1,y_1)\text{ = ( 6, 39 )} \\ (x_2,y_2\text{ ) = ( -5, -49 )} \end{gathered}\)Step 3:
Substitute the values to find the equation of a line.
\(\begin{gathered} \frac{y\text{ - 39}}{x\text{ - 6}}\text{ = }\frac{-49\text{ - 39}}{-5\text{ - 6}} \\ \frac{y\text{ - 39}}{x\text{ - 6}}\text{ = }\frac{-88}{-11} \\ \frac{y\text{ - 39}}{x\text{ - 6}}\text{ = 8} \\ y\text{ - 39 = 8(x - 6)} \\ y\text{ - 39 = 8x - 48} \\ y\text{ = 8x - 48 + 39} \\ \\ y\text{ = 8x - 9} \end{gathered}\)Final answer
y = [ 8 ]x + [ -9 ]
Let A = [ 4 -8]
[-6 22]
[ 7 9] We want to determine if the system Ax = b has a solution for every b ∈ R³. Select the best answer. A. There is a solution for every b in R³ but we need to row reduce A to show this. B. There is a not solution for every b in R³ but we need to row reduce A to show this.
C. There is a solution for every b in R³ since 2 < 3 D. There is not a solution for every b in R³ since 2 < 3.
E. We cannot tell if there is a solution for every b in R.³.
The best answer is E. We cannot tell if there is a solution for every b in R³.
To determine if the system Ax = b has a solution for every b ∈ R³, we need to examine the properties of matrix A. In this case, matrix A has dimensions 3x2,
which means it has more columns than rows. In general, if a system of linear equations has more variables than equations, it may not have a unique solution or a solution at all.
This is known as an overdetermined system. Since A has more columns than rows, it suggests that there may not be a solution for every b in R³.
However, without further information about the specific values of matrix A and the right-hand side vector b, we cannot definitively determine if there is a solution or not for every b in R³. Therefore, the correct answer is E.
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Determine the intercepts of the line.
Do not round your answers.
-4x+7y=3−4x+7y=3minus, 4, x, plus, 7, y, equals, 3
xxx-intercept: \Big((left parenthesis
,,comma
\Big))right parenthesis
yyy-intercept: \Big((left parenthesis
,,comma
\Big))right parenthesis
The x-intercept and y-intercept of the equation -4x + 7y = 3 are x = - 3 / 4 and y = 3 / 7.
How to find the intercept of an equation?The intercept of the equation is the y-intercept and the x-intercept of the equation.
The y-intercept is the point where the line intersects the y-axis. The y-intercept is the value of y when x is equals to 0.
Therefore,
-4x + 7y = 3
7y = 3 + 4x
y = 3 / 7 + 4 / 7 x
when x = 0
y = 3 / 7 + 4 / 7 (0)
y = 3 / 7
The y-intercept is 3 / 7.
The x-intercept is the point at which the graph of an equation crosses the x-axis. The x-intercept is the value of x when y equals zero,
Therefore,
-4x + 7y = 3
- 4x + 7(0) = 3
-4x = 3
x = - 3 / 4
The x-intercept is - 3 / 4
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Answer:
x-intercept: (-3/4, 0)y-intercept: (0, 3/7)Step-by-step explanation:
You want the x- and y-intercept coordinates for the line -4x +7y = 3.
X-interceptThe x-intercept is the value of x that corresponds to a y-value of 0. Substituting y=0 into the equation, we have ...
-4x +0 = 3
x = -3/4
The coordinates of the x-intercept point are (-3/4, 0).
Y-interceptThe y-intercept is the value of y that corresponds to an x-value of 0. Substituting x=0 into the equation, we have ...
0 +7y = 3
y = 3/7
The coordinates of the y-intercept point are (0, 3/7).
The intercepts are ...
x-intercept: (-3/4, 0)y-intercept: (0, 3/7)__
Additional comment
We often express the intercept using only the coordinate on the respective axis. The other coordinate is always zero.
The attached graph shows decimal approximations of the intercept points. The value 0.429 corresponds to the decimal value 0.428571...(repeating), or 3/7. Of course -0.75 = -3/4.
<95141404393>
39. The attendance at a weekly training program in the month of January averaged 116 people. If there were 105 people attending the first week, 106 the second, and 125 the third, how many people attended the fourth week? a. 118 b. 128 C. 130 d. 124
None of the provided options accurately represent the attendance for the fourth week based on the given information.
To find the number of people attending the fourth week, we need to calculate the average attendance for the month of January and then subtract the attendance of the first three weeks. Average attendance for the month of January = 116, Attendance for the first week = 105, Attendance for the second week = 106, Attendance for the third week = 125. Total attendance for the first three weeks = 105 + 106 + 125 = 336
To find the attendance for the fourth week, we subtract the total attendance for the first three weeks from the average attendance for the month: Attendance for the fourth week = Average attendance - Total attendance for the first three weeks, Attendance for the fourth week = 116 - 336, Attendance for the fourth week = -220
Since the result is negative, it implies that there was a decrease in attendance during the fourth week. However, the options provided for the answer (a, b, c, d) are all positive values. Therefore, none of the provided options accurately represent the attendance for the fourth week based on the given information.
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a firm has two plants(x and y) producing the same product which sells for $12 each. fixed costs are $5,000/year at plant x and $7,000/year at plant y and variable costs are $3.00/unit and $2.00/unit for x and y, respectively. the total profit at x and y are equal when the volume of each plant(units) is: group of answer choices 1,500 2,000 500 none of the above 1,000
A firm has two plants (X and Y) producing the same product which sells for $12 each. The total profit at plant X and plant Y are equal if the volume of each plant is 2,000 units.
To solve the problem, first translate the given problem into equations.
The formula for profit is:
profit = revenue from sales - total cost
total cost = fixed cost + variable cost
revenue = selling price x number of units sold
Let:
x = the number of units sold in plant X
y = the number of units sold in plant Y
From the problem, we can conclude:
Profit X = profit Y
x = y
Profit X = 12x - (5000 + 3x) (equation 1)
Profit Y = 12 y - (7000 + 2y) (equation 2)
Substitute y = x into equation 2
Profit Y = 12 x - (7000 + 2x)
Hence,
12x - (5000 + 3x) = 12 x - (7000 + 2x)
3x - 2x = 7000 - 5000
x = 2,000
Therefore, total profit at plant X and plant Y are equal if the volume of each plant is 2,000 units.
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write 0.009 as a fraction. (Its a refresh I need pls answer it bc I forgot how to do this!)
Answer:
9/1000
Step-by-step explanation:
When writing decimals into fractions, you first take the last digit, (in this case 9), and place it as your numerator, then count how many decimal places there are after 0. <---- in our case we have 3 decimal places which means our denominator has 3 zeros. Hence it is 1000.
at confidence, what is the margin of error and the interval estimate of the number of -year-old drivers in 2008? round your answers to four decimal places.
Thus, the interval estimate of the number of drivers under the age of 19 in 2008, together with its margin of error of 0.0245.
Explain about the confidence interval:An unknown population parameter's value is likely to be within the bounds of a confidence interval (CI), which is a range of values. Given the qualities of your sample data, these intervals reflect a likely domain for the parameter.
Confidence intervals are computed using a predetermined degree of confidence and are obtained from sample statistics.
Margin of error ME = z(α/2)√[p(1-p)/n]
confidence interval = 95%
z(α/2) value for the 95% confidence interval = 1.96 (taken from attached table)
P = 75% = 0.75
1-p = 1 - 0.75 = 0.25
n = 1200
Put the values in formula:
ME = (1.96)*√[0.75*0.25 / 1200]
ME = (1.96)*√0.00015625
ME = 0.0245
Thus, the interval estimate of the number of drivers under the age of 19 in 2008, together with its margin of error of 0.0245.
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Complete question:
Fewer young people are driving. In 1983, 87% of 19-year-olds had a driver’s license. Twenty-five years later (in 2008) that percentage had dropped to 75%. Suppose these results are based on a random sample of 1200 19-year-olds in 1983 and again in 2008. At a 95% confidence, what is the margin of error and the interval estimate of the number of 19-year-old drivers in 2008?
What is the value of this expression when a = 4, b = -5, and c = -7? a+2bc/3a
Answer:
To evaluate the expression a+2bc/3a when a = 4, b = -5, and c = -7, we need to substitute these values into the expression and perform the necessary calculations.
First, we can simplify the expression 2bc as follows:
2bc = 2(-5)(-7) = 70
Next, we can substitute these values into the original expression and perform the necessary calculations:
a+2bc/3a = 4 + 70/3(4)
= 4 + 70/12
= 4 + 5.83
= 9.83
Therefore, the value of the expression a+2bc/3a when a = 4, b = -5, and c = -7 is approximately 9.83.
A gymnast is performing a floor routine. In a tumbling run she spins through the air, increasing her angular velocity from 3. 40 to 5. 40 rev/s while rotating through one half of a revolution. How much time does this maneuver take
With given angular speed/velocity, the maneuver takes approximately 0.716 seconds.
What is angular speed ?Angular speed (ω) is a measure of how quickly an object is rotating around an axis or center point, and is given in units of radians per unit time (e.g., radians per second). It is also sometimes referred to as rotational speed.
Angular speed is related to the linear speed (v) of a point on the rotating object and the distance (r) of that point from the axis of rotation by the equation:
ω = v/r
Now,
As angular velocity
ω_avg = Δθ/Δt
where ω_avg is the average angular velocity, Δθ is the change in angle, and Δt is the time taken.
In this case, the gymnast rotates through half a revolution, or 0.5 × 2π radians = π radians. The initial angular velocity is ω1 = 3.40 rev/s, and the final angular velocity is ω2 = 5.40 rev/s.
We can use the formula for average angular velocity to find the time taken:
ω_avg = (ω1 + ω2)/2
ω_avg = (3.40 rev/s + 5.40 rev/s)/2
ω_avg = 4.40 rev/s
Δθ = π radians
Δt = Δθ/ω_avg
Δt = π/4.40 s
Δt ≈ 0.716 s
Therefore,
The maneuver takes approximately 0.716 seconds.
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Please answer this equation ❤️
Answer:
h(2) = 0
Step-by-step explanation:
Simply plug in 2 in for x in h(x)!
h(2) = -(2) + 2
h(2) = -2 + 2
h(2) = 0
And we have our final answer!
Answer:
H(2) = 0
Step-by-step explanation:
All you need to do is replace x with 2 in the function and solve:
H(2)= -2 + 2
H(2)= 0
Fourteen decreased by four times y is the same as y increased by four.
Answer:
4y-14=y+4
y=6
Step-by-step explanation:
Answer:
14 - 4y = y + 4
Step-by-step explanation:
Fourteen decreased by four times y is the same as y increased by four.
14 - 4y = y + 4
The scatter plot below shows nine points from a data set. 12.0 10.8 9.6 8.4 7.2 6.0 4.8 3.6 2.4 1.2 ● 0 1 2 3 4 5 6 7 8 9 10
A 4,4,5,5,6,6
b 4,10,4,11,4,12
C8,9,8,10,8,11
D10,10,10,11,10,12
Answer:
Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.
Step-by-step explanation:
The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.
Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.
Now let's examine the given answer choices:
A. .4,4,5,5,6,6
B. .4,10,4,11,4,12
C. 8,9,8,10,8,11
D. 10,10,10,11,10,12
Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.
Therefore, based on the given scatter plot, the set of numbers that matches the points is C.
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2. 4 A car travels a distance of 340 km at an average speed of 85 km/h. How long does it take the car
to travel his distance?
(2)
2 | Page
The car takes 4 hours to travel a distance of 340 km at an average speed of 85 km/h.
The distance and speed of the car are given as 340 km and 85 km/h, respectively. We need to determine the time taken by the car to travel the given distance.
Let t be the time taken by the car to travel the distance of 340 km.
Distance = Speed × Time
Time = Distance/Speed
Substituting the given values, we have
Time = 340/85= 4 hours
Therefore, the car takes 4 hours to travel a distance of 340 km at an average speed of 85 km/h.
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if the diameter of a circle is increased by 6 cm, what is the incriase in the circumference of the circle?
Answer:
C=πd=π·6≈18.84956cm
Step-by-step explanation:
URGENT PLEASE PLEASE ANSWER THIS QUESTION PLEASE IM BEGGING ANYONE ILL GIVE YOU BRAINLIEST.
Answer: Last one
Step-by-step explanation:
What values of y and z make △ABC≅△VXW?
Please please please hurry
If △ABC≅△VXW then:
AB = VX
CB = WX
Evaluating:
\(\begin{bmatrix}2y+2z-40=z+y\\ 16z-13y-24=y+3z-44\end{bmatrix}\)
Solving the first equation for y:
\(2y+2z-40=z+y\)
\(2y - y +2z - z= 40\)
y + z = 40
y = -z + 40
Substituying y = -z + 40 in the second equation:
\(16z-13\left(-z+40\right)-24=\left(-z+40\right)+3z-44\)
\(29z-544=2z-4\)
29z - 2z = 544 - 4
27z = 540
z = 540 / 27
z = 20
y = -20 + 40
y = 20
Assume that police estimate that 23% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. They stop 20 cars during the first hour a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the fact that the mean of a geometric distribution is pi = 1/p and the variance is ohm^2 = p/q^2? b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
The mean of the number of drivers expected not to be wearing seatbelts is approximately 4.35, the variance is approximately 15.62, and the standard deviation is approximately 3.95 and they expect to stop approximately 4.35 cars before finding a driver whose seatbelt is not buckled.
a. To find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts, we can model the situation using a geometric distribution.
Let's define a random variable X that represents the number of cars stopped until the first driver without a seatbelt is found. The probability of a driver not wearing a seatbelt is given as p = 0.23.
The mean (μ) of a geometric distribution is given by μ = 1/p.
μ = 1/0.23 ≈ 4.35
The variance (σ^2) of a geometric distribution is given by σ^2 = q/p^2, where q = 1 - p.
σ^2 = (0.77)/(0.23^2) ≈ 15.62
The standard deviation (σ) is the square root of the variance.
σ = √(15.62) ≈ 3.95
b. The expected number of cars they expect to stop before finding a driver whose seatbelt is not buckled is equal to the reciprocal of the probability of success (finding a driver without a seatbelt) in one trial. In this case, the probability of success is p = 0.23.
Expected number of cars = 1/p = 1/0.23 ≈ 4.35
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Solve for a. A/e -d=c.
Find the unit rate for each problem below.
Price per ticket if it costs $279 for 9 tickets
Price per volleyball if 6 volleyballs cost $18.00
Number of strikeouts per inning if there were 54 strikeouts in 27 innings.
Answer:
$31 per ticket
$0.33 per volleyball
2 strikeouts per inning
Step-by-step explanation:
Price per ticket:
279 = 9x
Divide both sides by 9
31 = x
Price per volleyball:.
6 = 18x
Divide both sides by 18
6/18 = x
Both the numerator and denominator have a common factor of 6
6 ÷ 6 / 18 ÷ 6 = x
1/3 = x
Convert to decimal for money
0.33 = x
Number of strikeouts per inning:
54 = 27x
Divide both sides by 27
2 = x
I mark brainlest for anybody who answer this question. just pls help
Answer:
A) 283.4mm^2
Step-by-step explanation:
Ok area of a circle
A=πr2
Radius is half of diameter
19/2=9.5
so
A=(3.14)9.5^2
A=283.385
round this nearest tenth
283.4mm^2
Answer:
area of semi circle=1/2 ×π(19/2)²=1/2 ×3.14×19²/4=1133.54/8=141.6925=151.7mm²
Given z₁ = 4 cos(cos(π/4)+isin(π/4)) and z₂=2(cos(2π/3)+isin(2π/3)), i, find z₁z₂ ii, find z₁/z₂
z_1 and z_2 are complex number;
i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))
ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))
To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:
i) To find z₁z₂, we multiply the magnitudes and add the angles:
z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))
= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))
= 8cos(7π/12) + isin(7π/12)
ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:
z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))
= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2
= 2cos(π/12) + isin(π/12)
i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))
ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))
Please note that the given calculations are based on the provided complex numbers and their angles.
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Help please!!! need to turn in, in 17 minutes
Answer:
x+4 and y+3
Step-by-step explanation:
Both the x and y values move in positive directions from the first triangle to the second.
Answer:
(x+4, y+3)
Step-by-step explanation:
First, choose a point to follow (I chose C). The coordinates of C are (-2, -5). The coordinates of C' are (2, -2). To get to 2 from -2, you have to add 4. Move left or right because it's on the x-axis. Since it's moving you the right, it is positive. So, x+4 is the first part. To get from C to C', you have to move up to follow the y-axis, meaning another positive. Counting the units from (2, -5), because that is the point after x+4, there are 3 units. So, (x+4, y+3).