-4 | x + 5 | = -16...divide both sides by -4, eliminating it on the left side
| x + 5 | = -16/-4
| x + 5 | = 4
x + 5 = 4 -(x + 5) = 4
x = 4 - 5 -x - 5 = 4
x = -1 -x = 4 + 5
-x = 9
x = -9
solutions : x = -1 , x = -9
Answer: The second option (160 cm)
Step-by-step explanation:
1. You can obtain the perimeter of a quadrilateral by adding the lenghts of the sides.
2. You know that the ratio of the side lengths is 3:3:5:8 and the perimeter is 380 centimeters.
3. Therefore, you can write the following expression, where x is an integer:
4. Solve for x:
5. Therefore, the longest side is:
(160 cm)
Answer:Write f(x)=x^2+2x-99 in standard form and please show your work
Step-by-step explanation:f
(
x
)
=
x
2
+
2
x
−
99
Answer:
Step-by-step explanation:
<u>Quotient meaning:</u>
<u>Equation:</u>
<u>Solve:</u>
- 36,772 ÷ 58
- = 367 - 348 = 19
- = 197 - 174 = 23
- = 232 - 232
- = 0
<u>Multiples:</u>
<u>Answer:</u>
Answer:
y =-5/4x +11/2
Step-by-step explanation:
First we need to find the slope of the line
4x-5y = 10
Solve for y
Subtract 4x from each side
4x-4x-5y =-4x-10
-5y = -4x-10
Divide by -5
-5y/-5 = -4x/-5 -10/-5
y = 4/5x +2
The slope is 4/5
The slope of a line that is perpendicular is the negative reciprocal
m perpendicular = - (5/4)
We know have a slope = -5/4 and a point (2,3)
We can use the point slope form of a line
y-y1 = m(x-x1)
y-3 = -5/4 (x-2)
Distribute
y-3 =-5/4x +10/4
Add 3 to each side
y-3+3 = -5/4 x +5/2 +3
Get a common denominator
y = -5/4x +5/2 +6/2
y =-5/4x +11/2
