Answer:
y=3x-1
Step-by-step explanation:
you first find the gradient
(-7,-5). (-7,-2)
x¹ y¹ x² y²
gradient=y²-y¹
x²-x¹
-2+5
-7+7
3/1=3. gradient is 3
equation formula= y=mx+c
(among the two sets of value you were given use one eg I will use -7 and -2)
y-(-7)/x-(-2)=3
y+7/x+2=3
y+7=3(x+2)
y+7=3x+6
y=3x+6-7
y=3x-1
If anyone can help me to solve this!!
Answer:
\(y = \dfrac{1}{2}x -5\)
Step-by-step explanation:
The slope intercept form of a linear equation is
y = mx + b
where m = slope and b = y-intercept
Since these are given, simply plug in to get
\(y = \dfrac{1}{2}x -5\)
62 = –19 + 3v /..............................
Answer:
V = 27
Step-by-step explanation:
62 = −19 + 3v
Swap sides so that all variable terms are on the left-hand side.
−19 + 3v = 62
Add 19 to both sides.
3v = 62 + 19
Add 62 and 19 to get 81.
3v = 81
Divide both sides by 3.
v = 81/3
Divide 81 by 3 to get 27.
v = 27
I hope this will help you! :)
Annabelle ran 6 3/4 miles, missy ran 3 2/3 miles less than Annabelle. how many miles did missy run
Answer:
3.15 miles
Step-by-step explanation:
6 3/4 miles-3 2/3 miles= 3.15 miles
You entered a room, there are 34 people. You killed 30. How many people are left in the room?
Answer:
5
Step-by-step explanation:
4 people you didnt kill and that were already there and you
can i have brainliest if i got it right pls
Answer:
31
Step-by-step explanation:
there were 34 people and you killed 30. the other people would have gotten scared and ran away leaving you with 30 other bodies in the room
What is the equation of the line that passes through the point (−4,−6) and has a slope of -1/2
Answer: \(y = -\frac{1}{2} x -8\)
Step-by-step explanation:
Going to build the equation in slope-intercept form, let me know if you need another form :)
Slope intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Simply plug in the slope for m to get: y = -1/2x + b.
Then simply plug in the point to get:
-6 = -1/2(-4) + b
-6 = 2 + b
b = -8
y = -1/2x -8
Hope it helps :)
Solve each of the following equations and show how you checked your answers 2y+4y=6-3y
Answer:
y=2/3
Step-by-step explanation:
2y+4y=6-3y
⇔ 2y+4y+3y=6
⇔ 9y=6
⇔ y=6/9=2/3
The answer is:
y = 2/3
Work/explanation:
For now, I focus on the left side and combine the like terms:
\(\bf{2y+4y=6-3y}\)
\(\bf{6y=6-3y}\)
Add 3y to each side
\(\bf{6y+3y=6}\)
Combine like terms
\(\bf{9y=6}\)
Divide each side by 9
\(\bf{y=\dfrac{6}{9}}\)
\(\bf{y=\dfrac{2}{3}}\)
Hence, the answer is 2/3.
Enter the ordered pair for the vertices for (Ry-axis T(2, 0))(QRST).
I need help with this please help me
Answer:
Q'(-3, 5)R'(-5, -1)S'(-2, 0)T'(0, 3)Step-by-step explanation:
You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).
Composition of TransformationsThe problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.
TranslationThe numbers in the translation vector are added to the coordinates:
(x, y) ⇒ (x+2, y+0)
ReflectionReflection over the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y)
ApplicationThen the composition of transformations is ...
(x, y) ⇒ (-(x+2), y)
Q(1, 5) ⇒ Q'(-3, 5)
R(3, -1) ⇒ R'(-5, -1)
S(0, 0) ⇒ S'(-2, 0)
T(-2, 3) ⇒ T'(0, 3)
A cube with side length s has volume s3. Matt has a cube-shaped wooden box that he uses to store his marble collection. It has 8-inch sides. What is the volume of the cube?
The volume of the cube with side length 8 inches is 512 inches cube.
How to find the volume of a cube?The cube with side length s has volume s³. Matt has a cube-shaped wooden box that he uses to store his marble collection. It has 8-inch sides.
The volume of the cube can be calculated as follows:
A cube has all side length equal to each other.
Therefore,
volume of the cube = s³
where
s = side lengthTherefore,
s = 8 inches
Hence,
volume of the cube = 8³
volume of the cube = 8 × 8 × 8
volume of the cube = 512 inches cube
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Which of the expressions are equivalent to the one below?(8+2).4+2
ANSWER:
B. (8 * 4) + (2 * 4) + 2
STEP-BY-STEP EXPLANATION:
We have the following expression
\(\mleft(8+2\mright)\cdot4+2\)If we operate this expression we can know which one it is equivalent to, therefore we would have:
\(8\cdot4+2\cdot4+2=(8\cdot4)+(2\cdot4)+2\)Therefore the correct answer is option B.
Which points are on the graph of a linear function? Select all that apply.
(-1, 7), (0,5), (1,3)
(-1, 1), (0, 0), (1, 1)
(0,5), (2,5), (3, 14)
(0, -3), (2, 5), (4, 13)
Answer:
Step-by-step explanation:
(-1,7), (0,5), (1,3)
and
(0,-3), (2,5), (4,13)
1 ft. 3 in. Is what part of 1 yd? I need this please I don’t get how to solve it
I need help please I can only find 2 of these solutions
Step 1: Isolate the Sin Operator
\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)
Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable
Note that since trig functions have 2 general solutions, this will give us one of our general solutions.
\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)
x₁= 0.48
Solving for x₂
Use the period identity for Sin Functions
\(sin(x)=sin(\pi -x)\)
X in this case is arcsin(0.25)
\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)
So our two general solutions are 0.48 and 5.52
Step 3: Period
Trig Functions have periodic behavior and this function period is
\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)
So our general solutions are
0.48±12k, where k is an integer
5.52±12k, where k is an integer
Let k=1, and we get our next set of solutions:
12.48 and 17.52
So our answer is 0.48,5.52,12.48,17.52
For right triangle ABC, find the sine ratio of angle θ.
The sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle showing in a picture.
As we know, the sin is the ratio to opposite to the hypotenuse.
Sinθ = 4/5
Thus, the sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.
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What are the coordinates of the point on the directed line segment from (-8, -2) to
(6,2) that partitions the segment into a ratio of 1 to 3?
Answer:
The coordinates of the point are (-4.5,-1).
Step-by-step explanation:
We want to find point T(x,y).
I am going to say that out points are A(-8,-2) and B(6,2)
Since it partitions the segment in a 1:3 ratio, we have that:.
\(T - A = \frac{1}{1+3}(B-A)\)
\(T - A = \frac{1}{4}(B-A)\)
We apply this to both the x-coordinate and y-coordinate of T.
x-coordinate:
x-coordinate of A: -8
x-coordinate of B: 6
x-coordinate of T: x.
So
\(T - A = \frac{1}{4}(B-A)\)
\(x - (-8) = \frac{1}{4}(6-(-8))\)
\(x + 8 = \frac{14}{4}\)
\(x = \frac{14}{4} - 8\)
\(x = \frac{14}{4} - \frac{32}{4}\)
\(x = -\frac{18}{4}\)
\(x = -4.5\)
y-coordinate:
y-coordinate of A: -2
y-coordinate of B: 2
y-coordinate of T: y.
\(T - A = \frac{1}{4}(B-A)\)
\(y - (-2) = \frac{1}{4}(2-(-2))\)
\(y + 2 = 1\)
\(y = -1\)
The coordinates of the point are (-4.5,-1).
My sister got stuck on these can you tell me the answers?
Find the solution to the equation.
4(x + 7) = 38 i need it ASAP plzzz
Answer:
x = 2.5
or
x = 1/4
Step-by-step explanation:
watch the following steps:
4x + 28 = 38
4x = 38 - 28
4x = 10
x = 2.5
or
x = 1/4
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
2.5, maybe
Step-by-step explanation:
distribute 4 into x and 7
subtract 28 from both sides (28-28, 38-28)
divide 4 and 10
2.5
it seems odd...
What number is 1/2 of 3/4
Answer
1.5/4
Step-by-step explanation:
1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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A college student realized that he was spending too much money on music. For the remaining 5 months of the year his goal is to spend a mean of $60 a month towards
music. How much can he spend in December, taking into consideration that in the other 4 months he spent $10, $65, $50, and $135, respectively? Round your answer
to two decimal places, if necessary.
Answer:
im sorry for anwering this question you may now report me im so sorry
The dimensions of a cylinder are shown in the diagram
Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters
Answer:
S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3
Use a calculator to find the trigonometric ratio. Round your answer to four decimal places
sin 98°~
Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.
How to Find the Trigonometric Ratio?One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.
Using a calculator, we can find the sine of 98 degrees as follows:
sin 98° ≈ 0.9848
Rounding this to four decimal places, we get:
sin 98° ≈ 0.9848
Therefore, sin 98° is approximately equal to 0.9848.
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whats x
25 points for awnser
Answer: 61 degrees
Step-by-step explanation:
A triangle has an internal angle sum of 180. So subtract 67 and 52, and you get x which is 61 degrees.
Which is the only state that uses to calculate its area
Answer:
The answer is circle.
Step-by-step explanation:
For all the rest of the shapes, we use certain base x height formulas. Square uses base x height along with parallelograms and trapezoids. For a triangle, we use \(\frac{base x height}{2}\). Though, for a circle, we use the formula \(\pi r^{2}\) where r= radius.
The sum of three consecutive even numbers is 120. What is the smallest of the three numbers?
Answer:
Step-by-step explanation:
the consecutive are 39,40,41 and the smallest here is 39
Hope this helped
Gary divides 48.026 by 6.49 using the work shown. Is Gary correct or incorrect? Explain your answer in full sentences.
Here, we are required to judge Gary's calculation as portrayed in the question above.
Gary's calculation is correct according to the calculation.
Ultimately, 48.026/6.49 = 7.4.
The question asks that 48.026 is divided by 6.49.
By first considering the whole numbers on the left hand side of the decimal point in each number,
We can conclude that 48 divided by 6 equals 8, i.e 48/6=8.
However, the calculation becomes much easier by shifting the decimal points in both numbers two spaces to the right as indicated in the diagram (i.e multiply both numbers by 100).
This leaves us with 4802.6 to be divided by 649.
Dividing 4802.6 by 649 yields 7 with a remainder of 259.6 (this is so because 7 × 649 = 4543).
259.6 can have it's decimal point shifted one space right to yield 2596.
And, 2596/649 = 4.
The condition above is hypothetical, and there's a need for the decimal point to be shifted one space back to the left, which leaves us with 0.4.
Ultimately, 48.026/6.49 = 7.4.
Therefore, Gary's calculation is correct using the work shown in the question above.
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Jane polled the last 42 athletes to finish a bike race.
Is this a random sample of the athletes in the bike race?
yes
no
Submit
Answer:
Step-by-step explanation:
It is yes! Hope this helped
Michael drives 660 miles in 10 hours. What is his average rate of speed in miles per hour (unit rate)?
A: 92 miles per hour
B: 35 miles per hour
C: 6 miles per hour
D: 66 miles per hour
Answer:
D
Step-by-step explanation:
He goes 66 MPH because 66 times 10= 660 MPH
Hopefully this helps!
A pulley is used to pull a boat to the dock. The rope is attached to the boat 7 feet below the level of the pulley. What is the distance from the boat to the dock when the rope is 25 feet long?
Answer: 24 ft
Step-by-step explanation:
By the Pythagorean theorem,
\(7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}\)
A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches. A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches. What is the difference in volume, cubic inches, between the two boxes. show your work
The difference in volume between the two boxes would be = 156in³
How to calculate the difference in volume between the boxes?To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;
Volume = length×width×height.
For box 1 = length = 12in, width = 7¾in, height= 2in
Vol = 12×7¾×2 = 186in³
For box 2; length = 3⅔in, width = 3½in, height= 2⅓in
Volume = 3⅔×3½×2⅓ = 30
The difference = 186-30 = 156in³
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answer:
see attached
Step-by-step explanation:
You want the sequence of steps to solve the system of equations by substitution.
-7x -2y = -13x -2y = 11SubstitutionTo solve the system by substitution, the first step is writing an expression for one of the variables. Here, the x-variable has a coefficient of 1 in the second equation, so that is a good place to start for getting an expression for x.
The remaining steps are shown in the attachment.
__
Additional comment
It is also convenient to subtract the first equation from the second to solve this system by "elimination".
(x -2y) -(-7x -2y) = (11) -(-13) ⇒ 8x = 24 ⇒ x = 3
Then the second equation can be used to find y:
3 -2y = 11 ⇒ -2y = 8 ⇒ y = -4