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3 years ago

What is y-7=8?one step equation

Mathematics

2 answers:

Fynjy0 [20]3 years ago

8 0

Answer:

y=15

Step-by-step explanation:

y-7=8

y=8+7

y=15

vodomira [7]3 years ago

7 0

Answer:

y=15

Step-by-step explanation:

y-7=8

Add 7 to each side to cancel out the 7 next to the variable.

You get y=15.

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What is the common difference for this arithmetic sequence <br> 45,40,35,30,25,...

HACTEHA [7]

Answer:

Step-by-step explanation:t

6 0

3 years ago

Read 2 more answers

Solve the quadratic equation by completing the square.<br> x²–2x-12=0

inn [45]

Answer:

$(x-1)^2-13=0$

$x = \sqrt{13}+1$

Step-by-step explanation:

Completing the square is a method of rewriting a quadratic equation in the standard form such that it is in vertex form. The first step is to group the linear and quadratic terms, then factor out the coefficient of the quadratic term. After doing so, complete the square, add a value such that the linear and quadratic terms form a perfect square trinomial. Do not forget to balance the equation. The final step is to simplify.

$x^2-2x-12=0$

Group,

$(x^2-2x)-12=0$

Complete the square,

$(x^2-2x+1)-12-1=0$

Simplify,

$(x-1)^2-13=0$

Now solve the equation using inverse operations,

$(x-1)^2-13=0\\\\(x-1)^2=13\\\\x-1=\sqrt{13}\\\\x = \sqrt{13}+1$

7 0

3 years ago

Simplify the expression using long division. (10x2 – 85x – 10) ÷ (x – 8)

Lelechka [254]

Answer: 5 • (2x2 - 17x - 2)

———————————————————

x - 8

Step-by-step explanation:

Step by step solution :

Step 1 :

Equation at the end of step 1 :

Step 2 :

10x2 - 85x - 10

Simplify ———————————————

x - 8

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

10x2 - 85x - 10 = 5 • (2x2 - 17x - 2)

Trying to factor by splitting the middle term

3.2 Factoring 2x2 - 17x - 2

The first term is, 2x2 its coefficient is 2 .

The middle term is, -17x its coefficient is -17 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -17 .

-4 + 1 = -3

-2 + 2 = 0

-1 + 4 = 3

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

8 0

3 years ago

What are the terms in the experience 7x+4y+1

ZanzabumX [31]

Answer:

Term 1: 7x

Term 2: 4y

Term 3: 1

Step-by-step explanation:

5 0

3 years ago

If n,6 M are in geometric sequence n,7.5, m are in arithmetic sequence ,then find the value of n and m?

hjlf

Answer:

if n,6,m are in geometric sequence

=> 6/n = m/6

⇔ mn = 36 (1)

if n,7.5, m are in arithmetic sequence

=> 7.5 - n = m - 7.5

<=> m + n = 15 (2)

from (1)(2), we have the equations:

$\left \{ {{mn=36} \atop {m+n=15}} \right.\\\\\left \{ {{mn=36} \atop {m=15-n}} \right.\\\\\left \{ {{(15-n)n=36} \atop {m=15-n}} \right.\\\\\left \{ {{n^{2}-15n+36 =0} \atop {m=15-n}} \right.\\\\\left \{ {{n=12orn=3} \atop {m=15-n}} \right.$

with n = 12 => m = 3

n = 3 => m = 12

=> (m;n) = {(3;12),(12;3)}

Step-by-step explanation:

3 0

3 years ago