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a_sh-v [17]
4 years ago
15

Solve the equation using the distributive property and properties of equality

Mathematics
1 answer:
vlada-n [284]4 years ago
8 0

Answer:

8

Step-by-step explanation:

1. distribute -5a-15= -55

2. get rid of -15 by adding 15 to both sides of the equation

-5a=-40

3. divide each side by -5 to get a

a=8

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Add.
atroni [7]
Here is how you are going to add the given polynomials:
3x^4     - 2x^3              -11
12x^4              +x^2     +1    <<< Add these using the normal addition process
----------------------------------
15x^4 - 2x^3  +x^2 -10
Therefore, the answer would be the last option: <span>15x4 – 2x3 + x2 – 10
Hope this is the answer that you are looking for. Thanks for posting!</span>
4 0
3 years ago
PLS HELP ASAP
Contact [7]

Answers:

Equation is (x+1)^2 + (y+2)^2 = 25

Center is (-1, -2)

Radius = 5

===========================================

Work Shown:

x^2+2x+y^2+4y=20\\\\(x^2+2x)+(y^2+4y)=20\\\\(x^2+2x+1)+(y^2+4y)=20+1\\\\(x^2+2x+1)+(y^2+4y+4)=20+1+4\\\\(x+1)^2 + (y+2)^2 = 25\\\\

center = (h,k) = (-1,-2)

radius = 5

-----------------------------

Explanation:

I grouped up the x and y terms separately. Then I added 1 to both sides to complete the square for the x terms. I cut the 2 from 2x in half, then squared it to get 1. In the next step, I cut the 4 from 4y in half to get 2, which squares to 4. So that's why I added 4 to both sides to complete the square for the y terms.

Each piece is factored using the perfect squares factoring rule which is a^2+2ab+b^2 = (a+b)^2

The last equation is in the form (x-h)^2 + (y-k)^2 = r^2

We can think of x+1 as x - (-1) to show that h = -1

Similarly, y+2 = y-(-2) = y-k to show that k = -2

The center is (h,k) = (-1,-2)

The radius is r = 5 because r^2 = 5^2 = 25 is on the right hand side in the last equation above.

3 0
3 years ago
3 15/16 divided by 2 5/8Ask your question here
Alexeev081 [22]
\frac{3 \frac{15}{16}  }{2 \frac{5}{8}}  \\  \\  \frac{ \frac{63}{16} }{ \frac{21}{8} }  \\  \\ \frac{63}{16}*\frac{8}{21} \\  \\  \frac{63*8}{16*21}  \\  \\  \frac{504}{336}  \\  \\ 1 \frac{168}{336}  \\  \\ 1 \frac{168:168}{336:336} \\  \\ 1 \frac{1}{2}
3 0
3 years ago
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function f(t) = 1500(1.074)t. Evaluate
mash [69]

The initial amount is the first number = 1500

Rate of growth is inside the parentheses and is added to 1, the rate of growth is 7.4%

Replace t with 5 and solve

1500(1.074) ^5 = $2143.45

3 0
3 years ago
Read 2 more answers
This REALLY easy. 10pts.
Fiesta28 [93]

Answer:

7.9% or 8% rounded

Step-by-step explanation:

Just divide 35.99 by 449.99

3 0
3 years ago
Read 2 more answers
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