Solve the system of equations.

13x−6y=22
x=y+6
​
x=?
y=?

This can be proved by considering triangle BOC and triangle BAC as right triangles. The sum of the angles in a triangle is 180°, and in a right triangle, one of the angles is 90°. So, in each of triangles BOC and BAC, the sum of the other two angles must be 90°.

A triangle is a geometric shape that consists of three points, called vertices, connected by three line segments, called sides. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on their sides (equilateral, isosceles, scalene) and their angles (acute, right, obtuse).

Hence, the sum of angle BOC and angle BAC must be 180°

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Answer:

0

Step-by-step explanation:

7-11=-4

-4+4=0

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

number of yards of fabric = 6 3/4 = y

Number of costumes = 3 = x

y = kx​

Where k is the constant of proportionality.

Replace with the values of x and y:

6 3/4 = k 3

Solve for k:

[6 3/4] / 3 = k

k= 2 1/4

The equation:

y = 2 1/4x

Answer:

+5 pts

Step-by-step explanation:

how many TVA students registered for both workshop? add answer+5 pts.

Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Answer:

60200 cm^2

Step-by-step explanation:

I believe I've answered this question on another post: https://brainly.com/question/27987703

Answer:

21 and 10.5 respectively

Step-by-step explanation:

Remember circumference of a circle is given as;

C= 2×π×r; r is raduis

r = C / 2×π

=65.98/(2×3.142)= 10.50

D= 2× r = 2× 10.50= 21.0( D represent diameter)

Note π = 3.142 a known constant

The algebraic expression for Desmond's height is x + 5.

If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.

So the algebraic expression for Desmond's height is x + 5.

Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).

They can contain one or more variables and can be evaluated for different values of the variables.

For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.

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Step-by-step explanation:

Ellen - 115/23

Classmates and Ellen got = 5 each

Answer:

im second lol

Step-by-step explanation:

The pairs of complementary angles are:

1) 36° and 54°

4) 23° and 67°

5) 5° and 85°

Two angles A and B are complementary if the sum of the measures is equal to 90°.

For the given options, the 3 correct ones are:

1) 36° and 54°

The sum gives:

36° + 54° = 90°

So these are complementary.

4) 23° + 67° = 90°

These are also complementary.

5) 5° + 85° = 90°

These are also complementary.

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Step-by-step explanation:

Heron's formula when all 3 sides (a, b, c) are given :

s = (a + b + c)/2

A = sqrt(s(s-a)(s-b)(s-c))

in our case

s = (34+73+89)/2 = 98

A = sqrt(98(98-34)(98-73)(98-89)) =

= sqrt(98×64×25×9) = sqrt(98)×8×5×3 =

= sqrt(2×49)×120 = sqrt(2)×7×120 =

= sqrt(2)×840 = 1,187.939392... ≈ 1,188 in²

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

Answer:

the correct answer would be B

( 18-3 )

Step-by-step explanation:

Answer: 2/9 x = 18; If the total amount of space is 18 inches, and each book is 2/9ths of an inch thick, you have to use x to figure out the missing value of how many books will fit

Step-by-step explanation:

Answer: C, 2 3/5

Step-by-step explanation:

7 1/5 = 6 6/5 (1 is equal to 5/5 so we take that from the 7 and add it to the fraction)

4 3/5 remains the same because this is what we are subtracting

7 1/5 - 4 3/5 will be subsituted for 6 6/5 - 4 3/5=? because it's equivilant

I like to break this into two parts to make it less complicated, fraction then number

This will give you the proper fraction for the result of your equation

2+3/5=2 3/5

2 3/5

The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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Answer:

hello your question has some missing part and the table as it relates better to the question

set up the ANOVA table ( to 1 decimal if necessary )

Step-by-step explanation:

attached below is the image of the Analysis of variance using Minitab software

Attached below as well is the Require Anova table

Answer:

1. Point A: (0, 2)

Point B: (-1, -3)

Point C: (-2, 4)

2. Point A: (-2, 4)

Point B: (6, -2)

Point C: (3, 5)

3. Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

1.

Reflection of point A:

Reflections over the x-axis are really easy. All you have to do is change the x-coordinate to the opposite sign.

In this case, 0 does not need to change since it already lies on the x-axis.

The coordinate for A will stay the same as (0, 2).

Reflection of point B:

Again, change the x-coordinate to negative.

1 → -1

The coordinate for B will now be (-1, -3).

Reflection of point C:

2 → -2

The coordinate for C will now be (-2, -4).

2.

Reflection of point A:

Reflections over the y-axis are also really easy. This time, all you have to do is change the y-coordinate to the opposite sign.

In this case, -4 would change to just 4.

The coordinate for A will stay the same as (2, 4).

Reflection of point B:

Again, change the y-coordinate to negative.

2 → -2

The coordinate for B will now be (6, -2).

Reflection of point C:

-5 → 5

The coordinate for C will now be (-1, 5).

3.

This is going to be a bit harder than the previous two, but I know you can handle it. :)

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line.

Hope this helped!

The graph of  Exercises 1-3 that shows AABC and its image after a reflection in the given line can be done using the example from the graph attached.

A reflection over line is known to be a kind of  transformation where each point of the main or original figure (that is the pre-image) is said to be made up of an image that has similar distance from the reflection line.

Note that In a reflection, the image is said to be of similar size and also of the same shape as the original image.

Therefore to be able to construct the graph of  Exercises 1-3, one can use the image example by tracing the number values such as A(0, 2), B(1, -3), C(2, 4); x-axis, A(-2,-4), B(6,2), C(3. – 5); y-axis and  A(4, -1), B(3, 8), C(-1, 1); y = -2 on the graph and linking them up together to form an angle.

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Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.  

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt  be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

Answer:

-90 - (-144)

Step-by-step explanation:

Here you go!

Since we're depositing, you'll add the three numbers.

45 + 27 + 18 = $90

Cody deposits 90 dollars in total.

If you write checks, the numbers go down. So you'll add them, and then subtract that by the 90 dollars Cody deposits.

You'll end up with:

45 + 27 + 18 - (21 + 93)

This can simplify to..

90 - (21 + 93)

But wait! Let's add what's in the parenthesis!

93 + 21 = 144

90 - 144 = t

t = -54

Solving this equation will give you: -54

But the simple way is -90 - (-144)

Answer:

9/12=3/4

Step-by-step explanation:

Answer:

(a)(0,1)

(b)(1, ∞)

Explanation:

Given the function:

The graphs are attached below:

The red represents y=x^(1/2) and the blue y=x^(1/4).

(a)The values of x that makes x^(1/2)

(b)The values of x that makes x^(1/4)

Answer:

x = 2

Step-by-step explanation:

H(x) = 64x - 16x²

Find the value of x when the ball reaches its maximum height.

Since the largest degree in this equation is two, this function represents a parabola. We can find the maximum height of the ball at the vertex of the quadratic.

In H(x) = 64x - 16x², rearrange the powers from greatest to least:

Vertex: [-b/2a, f(-b/2a)]

Substitute a and b into the x-value of the vertex: -b/2a.

The vertex of the parabola is at x = 2, with a maximum height of H(2).

6th term in the sequence is 1024

Answer:

1024

Step-by-step explanation:

I hope this helps!

Answer:

34% of scores should fall between your score and the mean.

Step-by-step explanation:

Let X denote the score.

It is provided that X follows a normal distribution with mean 110 and standard deviation 15.

A students score, x = 95.

Compute the probability of scores that should fall between the student's score and the mean as follows:

\(P(95<X<110)=P(\frac{95-110}{15}<\frac{X-\mu}{\sigma}<\frac{110-110}{15})\)

                            \(=P(-1<Z<0)\\\\=P(Z<0)-P(Z<-1)\\\\=0.50-0.15866\\\\=0.34134\\\\\approx 0.34\)

Thus, 34% of scores should fall between your score and the mean.

Answer:

y=-3x+4.

Step-by-step explanation:

1) the slope can be calculated according the formula:

slope=(y_end-y_init)/(x_end-x_init);

2) according to the formula above:

slope=(3-1)/(0-1)=-3.

3) according to the given graph the interception is 4, then

4) finally, the required equation is y=-3x+4.