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Tatiana [17]
3 years ago
13

(a+4)² - 3² Factored out

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer:

a =  - 7

a =  - 1

Step-by-step explanation:

(a+4) {}^{2}  - 3 {}^{2}  \\ a {}^{2}  + 8a + 16 - 9 \\ a {}^{2}  + 8a + 7 \\ a {}^{2}  + a + 7a + 7 \\ a(a + 1) + 7(a + 1) \\ (a + 7)(a + 1) \\ a + 7 = 0 \:  \:  \:  \: or \:  \:  \:  \: a + 1 = 0 \\ a =  - 7 \:  \:  \:  \: \:  \:  \:  \:  or \:  \:  \: a =  - 1

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find an equation of the line satisfying the given condition in standard form . Through {0, -35/3} ; slope 7/3
Nostrana [21]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis.

According to the statement data we have:

m = \frac {7} {3}

Thus, the equation is of the form:

y = \frac {7} {3} x + b

We substitute the given point and find the cut-off point:

- \frac {35} {3} = \frac {7} {3} (0) + b\\- \frac {35} {3} = b

Finally, the equation is:

y = \frac {7} {3} x- \frac {35} {3}

We manipulate algebraically to obtain the standard form:

We multiply by 3 on both sides of the equation:

3y = 7x-35\\3y-7x = -35

We multiply by -1 on both sides:

7x-3y = 35

Answer:

7x-3y = 35

6 0
4 years ago
Light travels about 186,000 mi /s. The function d(t) = 186,000t gives the distance d(t), in miles, that light travels in t secon
irakobra [83]

D(t) = 186,000 t

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3 0
3 years ago
Read 2 more answers
A sushi restaurant makes 12 types of sushi rolls each day. They also offer 7 sashimi plates. A popular combination platter at th
VikaD [51]

Answer:

1386 possible combinations

Step-by-step explanation:

A sushi restaurant makes 12 types of sushi rolls each day. They also offer 7 sashimi plates. A popular combination platter at the restaurant allows the customer to choose 2 different types of rolls and 2 different types of sashimi plates. What is the number of possible combination that can be made.

12 types sushi roll - can choose 2

7 types of  sashimi - can choose 2

2 different types of rolls and 2 different types of sashimi

C₁₂,₂ * C₇,₂ = 66*21 = 1386

6 0
4 years ago
Let f(x) = 2x-1 solve f(x+1)
mixer [17]

Answer:

f(x+1) = 2x+1

Step-by-step explanation:

f(x+1) = 2x-1

replace x w/ x+1

2(x+1)-1

distribute 2 to x+1

2(x) = 2x, 2(1) = 2

2x+2-1

subtract 2-1

2x+1

f(x+1) = 2x+1

8 0
3 years ago
Soda A cost $1.49 per 28 oz. bottle vs. $0.95 per 21 oz.
IrinaVladis [17]

Answer:

You will be spending for Soda A for about 1 more cent than Soda B

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Find the rate of both sodas.

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Soda B.

0.95 / 21 = $0.0452 per oz.

7 0
3 years ago
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