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3 years ago

HELP ME‍♂️ILL MARK BRAINLIESTTTT‼️‼️Find the value of x that makes the quadrilateral a parallelogram.

Mathematics

1 answer:

AysviL [449]3 years ago

3 0

Answer:

x = 23 and y = 20

Step-by-step explanation:

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I have homework and i dont understand it its called "Solving Systems of Equations by Elimination." The problem im stuck on is&lt

lawyer [7]

You add the equations together making sure one of the variables disappears by making one negative and one positive. In this situation y would alrady disappear 8x+y=-16

7 0

3 years ago

Read 2 more answers

7. Kamal gives the following proof that y−1=8/9(x+10) is the equation of a line that is tangent to a circle given by

leonid [27]

Answer with Step-by-step explanation:

We are given that equation of circle

$(x+1)^2+(y-9)^2=145=(\sqrt{145})^2$

Compare with equation of circle

$(x-h)^2+(y-k)^2=r^2$

Where (h,k)=Center of circle

r=Radius of circle

We get circle of center=(-1,9)

Radius=12.04

The point (-10,1) is on the circle because it satisfied the circle equation .

Slope of radius= $\frac{1-9}{-10+1}=\frac{8}{9}$

By using slope formula

Slope: $m=\frac{y_2-y_1}{x_2-x_1}$

We know that radius is perpendicular to the tangent.

When two lines are perpendicular then their slope is opposite reciprocal to each other.

Slope of tangent= $-\frac{1}{\frac{8}{9}}=-\frac{9}{8}$

Now, the equation of tangent passing through the point(-10,1) with slope-9/8 is given by

$y-1=-\frac{9}{8}(x+10)$

By using point-slope form

$y-y_1=m(x-x_1)$

a.Kamal has made an error to find the slope of tangent .

Slope of tangent= $-\frac{9}{8}$

But he used slope of tangent 8/9

b.The equation of tangent line

$y-1=-\frac{9}{8}(x+10)$

7 0

3 years ago

Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even C(x)=1

natka813 [3]

Consider these specific values of x.

For example, if x=10, then C(10)=16(10)+36,000=160+36,000=36,160 (say $)

and R(10)=18*10=180.

So if only 10 units are produced, the total cost is 36,160, while the revenue is only 180 (again, say $.)

If, for example, x=1000, then we can calculate

C(1000)=16*1000+36,000=16,000+36,000=52,000

and

R(1000)=18*1000=18,000.

This suggests that with higher values of x, we can get to a particular point where the Cost and Revenue are the same. To find this point, we set the equation:
C(x)=R(x),

which gives us that particular x at which both C(x) and R(x) give the same value.

Thus, we solve 16x+36,000=18x. Subtracting 16x from both sides 2x=36,000, then x = 36,000/2=18,000.

Answer: 18,000

8 0

3 years ago

A toy has an original price of $12. Find the new price after 45% decrease

AnnyKZ [126]

Answer:

New price =$6.60

Step-by-step explanation:

$deduction \ percent = 45\% \\\\dedecution \ price = \frac{45}{100} \times12 = \$5.40\\\\\ Therefore , cost \ of \ toy \after \ deduction = 12 - 5 .40= \$ 6.60$