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3 years ago

Give the values of a, b, and c needed to write the equation's standard form. (5 + x)(5 - x) = 7

Mathematics

1 answer:

Tpy6a [65]3 years ago

7 0

For this standard for, a = -1, b = 0 and c = 18.

In order to find this, you must first multiply the two parenthesis by each other.

(5 + x)(5 - x)

25 + 5x - 5x - x^2

25 - x^2

Now we need to set it equal to the other side and solve for 0.

25 - x^2 = 7 ----> subtract 7 from both sides.

18 - x^2 = 0 -----> now readjust the order

-x^2 + 18 = 0

So, once we've reached here, the a value is always the coefficient of the x^2 term (-1), b is the value of the coefficient of the x term (0) and c is the constant (18).

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there are four semi trailer trucks parked in a line at the rest stop after the first truck each truck in the line weighs 2 tons

alexira [117]

Call the weght of the first truck " $w_{1}$ ". We then know that the truck after that is 2 tons more, and the next and the next. i.e:
$w_{2} = w_{1} + 2$
$w_{3} = (w_{2} + 2) = (w_{1}+4)$
$w_{4} = (w_{3} + 2) = (w_{1}+6)$

We also know that total is 32 tons.
$w_{total} = 32 = (w_{1}) + (w_{2}) + (w_{3}) + (w_{4})$
$32 = (w_{1})+(w_{1}+2)+(w_{1}+4)+(w_{1}+6)$
$32= 4(w_{1})+12$
$20=4(w_{1})$
$w_{1} = 5 tons$

Therefore the trukcs weigh 5,7,9 and 11 tons for a total of 32 tons.

Converting to pounds, the trucks weigh 10,000, 14,0000, 18,0000 and 22,000 pounds.

3 0

3 years ago

Write a story problem for the addition sentence 7 +__=9.solve the story problem.

leva [86]

Katelan has 9 friends as guests for a costume party. Katelan is elaborating carnival masks for them. So far , she has made 7 masks. How much more masks is Katelan left to do?

Answer: Katelan has 2 masks left to do . Because 7 (plus) 2 is 9.

6 0

4 years ago

Read 2 more answers

Solve for a.

egoroff_w [7]

Answer: $a=\sqrt{\frac{30}{23} }$

Step-by-step explanation:

$23a^2=30$

Divide by 23

$a^2=\frac{30}{23}$

Extract the square root.

$a=\sqrt{\frac{30}{23} }$

3 0

3 years ago

[tex]\frac{12}{20} =_____% = _____ hundredths

Over [174]

The percentage form of given fraction is 60% and the hundredths form is 0.60

According to the statement

we have given that the a fraction and we have to find the percentage of that fraction and write in the form hundredths.

So, For this purpose,

The given fraction is 12/20.

Then the definition of the percentage is that

The Percentage, a relative value indicating hundredth parts of any quantity.

so, the percentage of given fraction is :

Percentage fraction = 12/20 * 100

After solving it, The percentage fraction will become:

Percentage fraction = 60%

and Now convert into the hundredths form then

In the hundredths form it will become

from 60% to 0.60.

So, The percentage form of given fraction is 60% and the hundredths form is 0.60

Learn more about Percentage here

brainly.com/question/843074

#SPJ1

8 0

2 years ago

30 points pls helppp

Phoenix [80]

Answer:

(y + 1) = 3( x +2)

Step-by-step explanation:

from equation,

y - y1 = m( x - x1)

given x1=2, y1= -1

m = 3 (slope)

substitute

y - (-1) = 3( x - 2)

ans: y+1= 3(x+2)

3 0

2 years ago