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3 years ago

12

Solve the equation using the distributive property and properties of equality. Negative 5 (a + 3) = negative 55 What is the valu

e of a? Negative 14 Negative 8 8 14

2 answers:

ivann1987 [24]3 years ago

8 0

Answer:

negative 14

Step-by-step explanation:

took the on edge

wel3 years ago

4 0

Answer:

The answer is C.8. The answer above is incorrect.

Step-by-step explanation:

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The sum of two numbers is 9 and the sum of their squares is 41. What is the larger number?

Sonbull [250]

The larger number is 5.

<u><em>Explanation</em></u>

Lets assume, the larger number is $a$ and the smaller number is $b$

As the sum of two numbers is 9, so...

$a+b= 9 ...............................(1)$

Now, the sum of their squares is 41, so....

$a^2 + b^2 = 41 .......................................(2)$

First, solving equation (1) for $b$ ....

$b=9-a$

Now, plugging this $b=9-a$ into equation (2) , we will get...

$a^2 +(9-a)^2 = 41\\ \\ a^2 +81-18a+a^2 =41 \\ \\ 2a^2-18a+81 =41 \\ \\ 2a^2-18a+40=0\\ \\ 2(a^2 -9a+20)=0\\ \\ a^2 -9a+20=0\\ \\ (a-5)(a-4)=0\\ \\ a=5,4$

If $a=5 ,$ then $b=9-5=4$

So, the larger number is 5.

5 0

4 years ago

Read 2 more answers

What is the first step when solving the equation below for x?

Aleonysh [2.5K]

Answer: add 0.3 to both sides

Step-by-step explanation:

1) combine like terms

ALWAYS eliminate constant (number with no variable) Before variable

2) when eliminating constant use the opposite sign, ex: x-5, use +5 to eliminate -5

3) eliminate variable by dividing on both sides

Hope this helps!

8 0

4 years ago

You bought a used truck for $15,000. The value of the truck will

kvasek [131]

Answer:

$15000 \times {0.92}^{x} = y$

x is the number of years and y is the value at x years

8 0

3 years ago

Ron is making a scale drawing to enlarge a picture. The original dimensions of the picture are 8 inches wide by 64 inches long.

Levart [38]

I think the answer is the 2nd choice = 1 inch wide and 8 inches long because he's making a scale and it has to be simplified.

Hope this helped☺☺

4 0

3 years ago

Read 2 more answers

Point E is located at (−2,4) and point F is located at (5,10) . What are the coordinates of the point that partitions the direct

lina2011 [118]

Solution:

Coordinates of Point E and F are (-2,4) and (5,10).

Suppose the Point M(x,y), divides the Line Segment Joining E (-2,4) and F (5,10) in the 7:3 ratio.

So, EM: MF= 7:3

Formula for internal Division

$x=\frac{mx_{2}+nx_{1}}{m+n}, y=\frac{my_{2}+ny_{1}}{m+n}$

$x=\frac{3 \times (-2) +7 \times 5}{3 +7},\\\\ x=\frac{-6 +35}{10}\\\\x=\frac{29}{10}\\\\ y =\frac{3 \times 4 +7 \times 10}{3+7}\\\\ y=\frac{12+70}{10}\\\\ y=\frac{82}{10}$

So,we get

x= 2.9

and , y= 8.2

6 0

4 years ago