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3 years ago

What is the missing constant term in the perfect square that starts with X^2 - 8x

Mathematics

2 answers:

Vladimir79 [104]3 years ago

6 0

Answer:

Look at the picture

Step-by-step explanation:

xenn [34]3 years ago

3 0

Answer:

Step-by-step explanation:

Perfect square in the quadratic from ax² + bx + c

You know an equation is perfect when:

2√(ax²)√(c) = bx

Substitute x² for ax² and 8x for bx. Then isolate c by doing the reverse operations.

2√(ax²)√(c) = bx

2√(x²)√(c) = 8x

2x√c = 8x Divide both sides by 2x

√c = 4 Square both sides to isolate c.

c = 16

The missing constant term is 16.

Check answer:

x² - 8x + 16

(x - 4)²

= (x - 4)(x - 4)

= x² - 4x - 4x + 16

= x² - 8x + 16

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Tinker bell flew a distance of 4.5 miles convert that distance to kilometers 1 mile = 1.609 plzzz help me I don't get it

Alex787 [66]

If 1 mile = 1.609 km then we can use it as the conversion factor in the following way, remembering that the equation has to be set so that the miles cancel with miles.

4.5 miles = $\frac{1.609 km}{1 mile}$

⇒ 7.2405 km

6 0

4 years ago

Suppose each cube in this right rectangular prism is a 1/2-inch unit cube.

kirill [66]

Answer:

other hooman is correct

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ? Enter your answer in t

nikdorinn [45]

Let

$A(-12,2)\\B(6,2)\\C(-2,-3) \\D(-20.-3)\\E(-12.-3)$

using a graphing tool

see the attached figure to better understand the problem

we know that

Parallelogram is a quadrilateral with opposite sides parallel and equal in length

$AB=CD \\AD=BC$

The area of a parallelogram is equal to

$A=B*h$

where

B is the base

h is the height

the base B is equal to the distance AB

the height h is equal to the distance AE

Step 1

Find the distance AB

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-12,2)\\B(6,2)$

substitute the values

$d=\sqrt{(2-2)^{2}+(6+12)^{2}}$

$d=\sqrt{(0)^{2}+(18)^{2}}$

$dAB=18\ units$

Step 2

Find the distance AE

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-12,2)\\E(-12.-3)$

substitute the values

$d=\sqrt{(-3-2)^{2}+(-12+12)^{2}}$

$d=\sqrt{(-5)^{2}+(0)^{2}}$

$dAE=5\ units$

Step 3

Find the area of the parallelogram

The area of a parallelogram is equal to

$A=B*h$

$A=AB*AE$

substitute the values

$A=18*5=90\ units^{2}$

therefore

the answer is

the area of the parallelogram is $90\ units^{2}$

5 0

3 years ago

Read 2 more answers

Pizza Palace cuts a medium pizza into 8 slices. The same size pizza at Pizza Pioneers is cut into 16 slices. Jasmine ate 4 slice

ludmilkaskok [199]

Pizza palace cuts the medium size pizza into 8 slices.

Pizza pioneers cuts the same size pizza into 16 slices.

Jasmine ate 4/16 pizza in Pizza pioneers,

The ratio of Pizza palace slices to Pizza pioneer slices is;

Pizza palace : Pizza pioneer = 8 : 16 = 1 : 2

Let fraction of pizza in Pizza palace to 4/16 pizza in Pizza pioneer be;

x : 4/16 , Simplified becomes x : 1/4

Comparing ratios:

Pizza Palace slices : Pizza Pioneer slices = 1 : 2

and

Pizza Palace fraction : Pizza Pioneer fraction = x : 1/4

As Pizza Palace slices are half those in Pizza pioneer;

x should be half the fraction of slices Jasmine ate in Pizza Pioneer

i.e x = 1/2 × 1/4 = 1/8

Therefore the fraction of pizza from Pizza Palace which is equal to 4/16 slices from Pizza Pioneer is 1/8 .

5 0

3 years ago

Please help me! I’m behind on math and need to get it done! ASAP!

qaws [65]

Answer:

sads

Step-by-step explanation:

7 0

3 years ago