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slega [8]
4 years ago
13

What are the solutions of –7x – 60 = x2 + 10x?

Mathematics
2 answers:
DIA [1.3K]4 years ago
8 0
-7x-60=x^2+10x
Or
x^2+10x=-7x-60
Add 7x to each side
x^2+10x+7x=-7x-60+7x
x^2+17x=-60
Add 60 to each side
x^2+17x+60=-60+60
x^2+17x+60=0
Next, we need to factor this base on:
ax^2+bx+x
To
ax^2+mx+nx
To be able to find m and n, we need to know two numbers that multiply together to get 60 and add together to get 17 which is 12 and 5, so m=12, and n=5
ax^2+mx+nx
x^2+12x+5x+60
Factor this:
x(x+12)+5(x+12)
(x+5)(x+12)
Then,
If
x+5=0
x=-5

If
x+12=0
x=-12. As a result, the solutions are -5 and -12. Hope it help!
abruzzese [7]4 years ago
4 0
It is gonna be X= - 60/19
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-x + 3y = 3 <br><br>x - 3y = 3<br><br>Does this system have a solution?
DerKrebs [107]

Answer:

No solution

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write out systems of equations

-x + 3y = 3

x - 3y = 3

Step 2: Rewrite equations into slope-intercept form

3y = 3 + x

y = 1 + x/3

-3y = 3 - x

y = -1 + x/3

Step 3: Rewrite systems of equations

y = x/3 + 1

y = x/3 - 1

Since we have the same slope for both equations but different y-intercepts, we know that both lines are parallel. If that is the case, they will never touch or intersect each other. Therefore, we have no solution.

4 0
3 years ago
ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?
kotykmax [81]

Answer:

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

Step-by-step explanation:

To find the cos (C) we must use the cosine theorem.

The cosine theorem says that:

c^2 = a^2 +b^2 -2abcos(C)

In this case:

c=AB = 9

b=CA = 41

a=BC = 40

So

9^2 = 40^2 +41^2 -2(40)*(41)cos(C)

9^2- 40^2- 41^2 =-2(40)*(41)cos(C)

cos(C) = -\frac{9^2- 40^2- 41^2}{2(40)*(41)}

cos(C) =\frac{40}{41}\\\\cos(C)=0.976

7 0
3 years ago
How to simplify this
Yuliya22 [10]
X^2-4x+2/x^2-2x-15 hope this helps!
7 0
3 years ago
How do you solve this problem
lora16 [44]
X² = 17

To simplify this, you need to find the square root of x², which is x, and the square root of 17.

x = √17
Also remember that when you are using square root, the answer can be either positive or negative.

x = +/-√17 ≈ +/- 4.12
6 0
3 years ago
Read 2 more answers
Convert 0.45 into a fraction
gregori [183]
0.45 as a fraction is 45/100 and in simplest form it is 9/20.

0.45 = 47/100 = 9/20
6 0
4 years ago
Read 2 more answers
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