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3 years ago

What is the value of f(-6) when f(x)=x^2+8x+10

Mathematics

1 answer:

Stella [2.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

you input -6 anywhere you see X than you solve by orders of operation

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3 years ago

What is the area of the rectangle?

den301095 [7]

Answer:

$50\ units^{2}$

Step-by-step explanation:

Plot the figure to better understand the problem

see the attached figure

we know that

If the figure is a rectangle

then

$AB=CD \\AD=BC$

The area of the rectangle 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 AD

Step 1

Find the distance AB

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

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

$A(-5,5)\\B(0,-5)$

substitute the values

$d=\sqrt{(-5-5)^{2}+(0+5)^{2}}\\d=\sqrt{(-10)^{2}+(5)^{2}}\\dAB=\sqrt{125}\ units$

Step 2

Find the distance AD

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

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

$A(-5,5)\\D(-1,7)$

substitute the values

$d=\sqrt{(7-5)^{2}+(-1+5)^{2}}\\d=\sqrt{(2)^{2}+(4)^{2}}\\dAD=\sqrt{20}\ units$

Step 3

Find the area of the rectangle

$A=AB*AD$

we have

$dAB=\sqrt{125}\ units\\dAD=\sqrt{20}\ units$

substitute

$A=\sqrt{125}*\sqrt{20}\\A=\sqrt{2,500}\\A=50\ units^{2}$

7 0

3 years ago

Plss heeeeeeeeeeeeeeeelp

spayn [35]

Answer:

1. Yes

2. No

2. Yes

4. Yes

5. Yes

Step-by-step explanation:

The angles in the first pair are congruent and 40° each (XYZ and XYW are complementary)

Segment FG is 4 cm while segment DE is 6 cm so they are not congruent

As shown on the figure both segment OR and segment OS is 2 in. long

Angle 2 and angle 4 are congruent

Angle ROQ and angle ROP are congruent because all angles shown on the figure has a measure of 90°

5 0

3 years ago