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3 years ago

15

Can you help me with this question please THANK YOU IF YOU HELP ME

1 answer:

Tresset [83]3 years ago

3 0

Assume ∠a and ∠b are acute

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Solve each system using elimination.

IceJOKER [234]

7. 4x+y=8 ----- first equation
(+)
-3x-y=0
_______
x = 8 ---- second equation

substitude second equation into first equation

4(8) + y = 8
32 + y = 8
y = 24

8. 2x+5y=20 ---- first equation
(-)
2x-5y =3
________
10y = 17
y = 17/10 ---- second equation

substitude second equation into first equation

2x + 5(17/10) = 20
2x + 17/2 = 20
4x + 17 = 40
4x = 23
x = 23/4

9. 3x+2y=-10 (×2) ---- first equation
2x-5y=3 (×3)

6x + 4y = - 20
(-)
6x - 15y = 9
___________
19y = - 29
y = - 29/19 ---- second equation

substitude second equation into first equation

3x + 2(-29/19) = - 10
3x - 58/19 = - 10
3x = - 132/19
x = - 44/19

5 0

3 years ago

In Exercise, find the derivative of the function.<br> y = e5x

mariarad [96]

Answer: The derivative of the function $y=e^{5x}$ is $5e^{5x}$ .

Step-by-step explanation:

We know that the derivative of $e^{ax}$ with respect to x is given by :

$\dfrac{d}{dx}(e^{ax})= a e^{x}$ (1)

The given function is $y=e^{5x}$

Differential both sides with respect to x , we get

$\dfrac{dy}{dx}=\dfrac{d}{dx}(e^{5x})$

$\Rightarrow\ \dfrac{dy}{dx}=5e^{5x}$ ( Using (1))

Therefore , the derivative of the function $y=e^{5x}$ is $5e^{5x}$ .

4 0

4 years ago

If 6a+4b+c=-7, what is -2c-12a-8b

Softa [21]

You will need 1 more equation

3 0

3 years ago

What is the area of a pizza with a diameter of 12 inches? Round to the nearest tenth. Use 3.14 for pi.

Flauer [41]

Answer:

$\boxed {\boxed {\sf a \approx 113.0 \ in^2}}$

Step-by-step explanation:

Assuming this pizza is a circle, we can use this formula for area:

$a= \pi r^2$

1. Find Radius

We are given the diameter: 12 inches, but the formula uses radius.

The radius is half the diameter, or:

$r=\frac{d}{2}$

$r=\frac{12 \ in}{2}$

$r= 6 \ in$

2. Calculate Area

Substitute the radius (6 inches) in for r. The question also asks us to use 3.14 for pi.

$a= (3.14)(6 \ in)^2$

Solve the exponent.

(6 in)²= 6 in* 6 in= 36 in²

$a= (3.14)(36 \ in^2)$

Multiply.

$a= 113.04 \ in^2$

3. Round

The question asks us to round to the nearest tenth.

The 4 in the hundredth place tells us to leave the 0 in the tenth place.

$a \approx 113.0 \ in^2$

The area of the pizza is about 113.0 square inches.

7 0

3 years ago

square root of a certain number is approximately 9.2371. The cedrain number is between what 2 integers.

Murrr4er [49]

Use the fact that $a$ for non-negative $a,b$ .

$\sqrt{81}=9$ and $\sqrt{100}=10$ , which means the square root of some number between 81 and 100 has an approximate value of 9.2371.

8 0

4 years ago