MATHEMATICS HIGH SCHOOL

Multiply and simplify:(2x + 8)
A)
2x2 +64
B)
4x? + 64
C)
4x2 + 32x + 64
D)
4x2 + 16x + 16

Answers

Answer 1

Answer:

Answer:

A. 2x+8

Step-by-step explanation:

you take the two and multiply it to the X and the eight and that would give you 2X2 + 64

Answer 2

Answer: What is the outside number

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20 yards 8 inches is divided into 26 equal sections, how long is each section

Answers

In the given question, there are several information's of immense importance and worth taking a look. based on these information's, the answer to the question can be easily determined.The length that has to be divided into 26 equal parts is 20 yards and 8 inches.Firstly we have to change the yard into inches and then we can divide the total inches into 26 equal parts.
We know
1 yard = 36 inches
20 yards = 720 inches
Then the total length that has to be divided = (720 + 8) inches
= 728 inches
Now we have to divide the 728 inches into 26 equal parts.
Length of each section = (728/26) inches
= 28 inches.
So each of the 26 parts will have a length of 28 inches.

Two functions are shown in the table below.Function 1 2 3 4 5 6
f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
x = 3
x = 4
x = 5
x = 6

Answers

Given:
f(x) = - x² + 4x + 12
g(x) = x + 8

f(1) = -(1)² + 4(1) + 12 = -1 + 4 + 12 = -1 + 16 = 15
f(2) = -(2)² + 4(2) + 12 = -4 + 8 + 12 = -4 + 20 = 16
f(3) = -(3)² + 4(3) + 12 = -9 + 12 + 12 = - 9 + 24 = 15
f(4) = -(4)² + 4(4) + 12 = -16 + 16 + 12 = -16 + 28 = 12
f(5) = -(5)² + 4(5) + 12 = -25 + 20 + 12 = -25 + 32 = 7
f(6) = -(6)² + 4(6) + 12 = -36 + 24 + 12 = -36 + 36 = 0

g(1) = 1 + 8 = 9
g(2) = 2 + 8 = 10
g(3) = 3 + 8 = 11
g(4) = 4 + 8 = 12
g(5) = 5 + 8 = 13
g(6) = 6 + 8 = 14

f(x) = g(x) when x = 4
f(4) = g(4)
12 = 12

In ΔFGH, the measure of ∠H=90°, the measure of ∠G=21°, and FG= 9 feet. Find the length of GH to the nearest tenth of a foot.

Answers

Answer: 8.4 feet

Step-by-step explanation:

In ΔFGH, the measure of ∠H=90°, the measure of ∠G=21°, and FG = 9 feet. Find the length of GH to the nearest tenth of a foot.

(opposite of ∠G)

(adj. to ∠G)

(hypotenuse)

21°

\text{What function uses the HYPOTENUSE and the ADJACENT?}

What function uses the HYPOTENUSE and the ADJACENT?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos G = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{9}

cosG=

hypotenuse

adjacent

\cos 21=\frac{x}{9}

cos21=

9\cos 21=x

9cos21=x

Cross multiply.

x=8.4022\approx \mathbf{8.4}\text{ feet}

x=8.4022≈8.4 feet

Type into calculator and roundto the nearest tenth of a foot.

8.4

(opposite of ∠G)

(adj. to ∠G)

(hypotenuse)

21°

A ball is dropped from a height of 6 m.After each bounce the ball rises to 2/3
of its previous height. What height
will it reach after the third bounce?

Answers

Answer:

1.7342 m

Step-by-step explanation:

in order to find this, we need to find what 2 thirds of 6 is. The answer to that is 4, because 2/3 can be changed to 4/6, which means the 1st bounce would reach a height of 4m. Now, we need to find 2 thirds of 4, which is mildly harder. In order to find the exact value, we need to find what to multiply 3 by to get to 4. Unfortunately, you cant do that. Fortunately, though, I looked it up. So, On the 2nd bounce, the ball would reach 2.6 m. Now, we need to find 2 thirds of THAT, too, which would equal, on the third bounce, 1.7342 m.

Final answer:

The height of the ball after the third bounce is approximately 1.78 m.

Explanation:

To find the height after the third bounce, we need to calculate the height after each bounce and then determine the height after the third bounce.

Given that the ball rises to 2/3 of its previous height after each bounce, we can start with the initial height of 6 m and calculate the height after the first bounce, which is 6 * 2/3 = 4 m.

Similarly, after the second bounce, the height will be 4 * 2/3 = 8/3 m. Finally, after the third bounce, the height will be (8/3) * (2/3) = 16/9 m, which is approximately 1.78 m. Therefore, after the third bounce, the ball will reach a height of approximately 1.78 m.

Learn more about height after bounces here:

brainly.com/question/34163008

#SPJ11

The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor. The current is 6 amperes when the resistance is 722 ohms. What is the current when the resistance is 768 ohms? Round your answer to two decimal places if necessary.

Answers

Answer:

The current is 5.64 Ampere when resistance is 768 ohms .

Step-by-step explanation:

As given

The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor.

Thus

$I \propto (1)/(R)$

$I=(k)/(R)$

Where k is the constant of proportionality .

The current is 6 amperes when the resistance is 722 ohms.

I = 6 amperes

R = 722 ohms

Put all the values in the formula

$6=(k)/(722)$

k = 6 × 722

k = 4332

As given

when the resistance is 768 ohms .

R = 768 ohms

K = 4332

Put in the formula $I=(k)/(R)$ .

$I=(4332)/(768)$

I = 5.64 Ampere

Therefore the current is 5.64 Ampere when resistance is 768 ohms .

Basically, this is Ohm's Law:
V=RI where V is the tension in volts;
You have that V=722×6=4332 Volts
Using this value for V you have that:
4332=768×I
So I=5.64 A

Factor completely w^4-2401