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viktelen [127]
3 years ago
13

Emplify each p(x + 3)(x + 8)​

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer:

x^{2}+11x+24

Step-by-step explanation:

Given:

The polynomial is (x+3)(x+8).

We use the FOIL method:

So, we first multiply first terms of each binomial.

⇒ x\times x=x^{2}

Next, we multiply the outer terms.

⇒ x\times 8=8x

Next, we multiply the inner terms.

⇒ 3\times x=3x

Lastly, we multiply the last terms.

⇒ 3\times 8=24

Now, we add all the products to get the answer.

Therefore,

(x+3)(x+8)=x^{2}+3x+8x+24\\(x+3)(x+8)=x^{2}+11x+24

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What is the measure of the major arc?
ehidna [41]

Answer:

C. 225°.

Step-by-step explanation:

1) according to the condition minor arc is 135°;

2) the measure of the major arc can be calculated as

360°-135°=225°.

5 0
2 years ago
An explosion causes debris to rise vertically with an initial velocity of 160 feet per second. What is the speed of debris when
lisov135 [29]
The question is asking what v_final is, given that v_initial is at 300 feet. and v_initial is at 0 feet.  
We know there will be a constant downward acceleration of 32.15 ft/s^2.
 Use the following equation: 
 v_final^2 = v_initial^2 + 2ah
 v_final^2 = (160 ft/s)^2 + 2(-32.15 ft/s^2)(300 ft) = 6310 ft^2/s^2
 v_final = (6310 ft^2/s^2)^1/2 = 79.4 ft/s.
5 0
3 years ago
Equation A
NemiM [27]

its c

Step-by-step explanation:

8 0
3 years ago
Simplify (x - y + 1) - (x + y - 1)
andrey2020 [161]
First, distribute the minus sign across the second set. So you have:

x - y + 1 - x - y + 1

Now, we combine like terms:
x-x=0
-y-y=-2y
1+1=2

So we have -2y+2

Hope that helps.
5 0
3 years ago
EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for
inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

(x_1,y_1) = (\frac{1}{2},4)

(x_2,y_2) = (\frac{2}{3},1)

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}

m =-\frac{ 3}{\frac{1}{6}}

m = -3/\frac{1}{6}

m = -3 * 6

m = -18

This is in contrast to m = -\frac{1}{2}, calculated by Cody

Solving further to determine the equation.

y - y_1 = m(x - x_1)

Where

(x_1,y_1) = (\frac{1}{2},4)

m = -18

y - 4 = -18(x - \frac{1}{2})

y - 4 = -18x + 9

Collect Like Terms

y + 18x = 9 + 4

y + 18x = 13

6 0
3 years ago
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