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3 years ago

Find the perimeter of the quadrilateral. If x = 2, the perimeter is inches.

Mathematics

1 answer:

Akimi4 [234]3 years ago

6 0

Answer:

129 inches

Step-by-step explanation:

If x=2, just substitute in the x values for each side. Your lengths are 31, 32, 22, and 44.

4(2)^2+8(2)= 16+16=32

3(2)^2-5(2)+20=12-10+20=22

7(2)+30= 14+30=44

You are given an additional side of 31.

Add the values up together.

31+32+22+44=129

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Y - 5= - (5 - y) <br> Does it have a solution?

Effectus [21]

Answer:

infanite

Step-by-step explanation:

3 0

3 years ago

Determine the measures of the angles of MNO if the measures of the angles are in the ratio 2:4:6

saul85 [17]

2:4:6 =2x :4x :6x
2x -1st angle
4x -2d one
6x - 3d one
2x+4x+6x=180 because MNO is a triangle
12x=180
x=180/12=15

2*15=30° -1st angle
4*15= 60° -2d one
6*15=90° - 3d one

4 0

3 years ago

1769.9 in hours and secs<br><br> i need help

shusha [124]

Answer:

6,371,640 Seconds

Step-by-step explanation:

1hr=3600

1769.9x3600=6,371,640

5 0

3 years ago

Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?

Sonbull [250]

Answer:

$-6 < k < 2$

Step-by-step explanation:

Given

$y = x^2 - 2x$

$y =kx -4$

Required

Possible values of k

The general quadratic equation is:

$ax^2 + bx + c = 0$

Subtract $y = x^2 - 2x$ and $y =kx -4$

$y - y = x^2 - 2x - kx +4$

$0 = x^2 - 2x - kx +4$

Factorize:

$0 = x^2 +x(-2 - k) +4$

Rewrite as:

$x^2 +x(-2 - k) +4=0$

Compare the above equation to: $ax^2 + bx + c = 0$

$a = 1$

$b= -2-k$

$c =4$

For the equation to have two distinct solution, the following must be true:

$b^2 - 4ac > 0$

So, we have:

$(-2-k)^2 -4*1*4>0$

$(-2-k)^2 -16>0$

Expand

$4 +4k+k^2-16>0$

Rewrite as:

$k^2 + 4k - 16 + 4 >0$

$k^2 + 4k - 12 >0$

Expand

$k^2 + 6k-2k - 12 >0$

Factorize

$k(k + 6)-2(k + 6) >0$

Factor out k + 6

$(k -2)(k + 6) >0$

Split:

$k -2 > 0$ or $k + 6> 0$

So:

$k > 2$ or k $> -6$

To make the above inequality true, we set:

$k < 2$ or $k >-6$

So, the set of values of k is:

$-6 < k < 2$

3 0

3 years ago

Please help me i don’t know this

scZoUnD [109]

Answer: Surface Area = 16in.

Step-by-step explanation:

So we need to find the area of each side and add them up.

First we find the area of one of the triangular sides: 2*3/2 = 3

Then we multiply it by 4 to accommodate the 4 sides that are the same size: 12

Then we do 2*2 = 4 for the base. We then add those up.

4 + 12 = 16

3 0

3 years ago