The answer to this question is 5.2
Step-by-step explanation: You have to substitute the numbers in for x & y
(0, -5): YES
3x - 4y - 8 = 12
3(0) - 4(-5) - 8 = 12
0 + 20 - 8 = 12
20 - 8 = 12
12 = 12
(4, -2): YES
3x - 4y - 8 = 12
3(4) - 4(-2) - 8 = 12
12 + 8 - 8 = 12
20 - 8 = 12
12 = 12
(8, 2): NO
3x - 4y - 8 = 12
3(8) - 4(2) = 12
24 - 8 = 12
16 = 12
(-16, -17): YES
3x - 4y - 8 = 12
3(-16) - 4(-17) - 8 = 12
-48 + 68 - 8 = 12
20 - 8 = 12
12 = 12
(-1, -8): NO
3x - 4y - 8 = 12
3(-1) - 4(-8) = 12
-3 + 32 = 12
29 = 12
(-40, -34): NO
3x - 4y - 8 = 12
3(-40) - 4(-34) - 8 = 12
-120 + 136 - 8 = 12
16 - 8 = 12
8 = 12
Hope this help you!!! :)
Answer:
Step-by-step explanation:
The given question is that the volume of a cube depends on the length of its sides.This can be written in function notation as v(s). What is the best interpretation of v(3)=27.
Solution:
According to the question the volume of a cube depends on the length of its sides. According to the statement we will apply the formula of volume of a cube.
V(s)=s³
In this question we have given s=3ft.
So, we will put the value of 's' in the formula.
V(s)=s³
V(3)=3³
Multiply 3 three times to get the answer.
V(3)=3*3*3
V(3)=27 ft³
This means that the cube has a volume of 27ft³ with the length of its sides 3ft....
Answer:
The height of the triangle is 7cm and the base is 16cm
Step-by-step explanation:
First of all we have to know the formula to calculate area of a triangle
a = area = 56
b = base
h = heigth
a = (b * h)/2
we replace the known values and we make 2 equations
56cm² = (b * h)/2
b = h + 9cm
we replace b by (h + 9cm) in the first equation
56cm² = (h + 9cm * h)/2
56cm² * 2 = h² + 9h
0 = h² + 9h - 112cm²
we use bhaskara formula:
(-b (±) √
(b² - 4ac) ) / 2a
we replace with the known values
h = (-9 (±) √
(9² - 4*1*(-112) ) ) / 2*1
h = (-9 (±) √
(81 + 448) ) ) / 2
h = (-9 (±) √529) /2
h = (-9 (±) 23)/2
h1 = (-9 + 23) / 2
h1 = 14 / 2
h1 = 7
h2 = (-9 - 23) / 2
h2 = -32 / 2
h2 = -16
The height of the triangle is 7cm and the base is 16cm
