Answer:
Step-by-step explanation:
g(-1) = 4(-1) - 3 = -4 -3 = -7
f(-7) = (-7)^2 + 3 = 49 + 3 = 52
Answer is D
Answer:
7/40
Step-by-step explanation:
There are 3 girls+9 boys = 12 students in the 7th grade
P (girl in 7th grade) = girls/ total
= 3/12 = 1/4
There are 7 girls+3 boys = 10 students in the 8th grade
P (girl in 8th grade) = girls/ total
= 7/10
P(7th grade girl, 8th grade girl) = 1/4 * 7/10 = 7/40
Perpendicular lines have gradients that multiply to give -1
So, the gradient of the line we need is -1/0.2 = -5
If we have the gradient and a point in the line, we can work out the equation using the formula:
y - y1 = m(x - x1)
where m = gradient, y1 = y-coordinate and x1 = x-coordinate of the same point
So, we substitute in our values, and we get:
y - -8 = -5(x - -7)
y+8 = -5x-35
y = -5x-43
Hope I helped! xx
Surface area of a sphere = 4πr² = 4π(15)² = 900π m²
Surface area of a sphere = 4πr² = 4π(10)² = 400π m²
Step-by-step explanation:
a. (1,1) and (7,5)
b. (1,1) and (5,7)
c. (2,5) and (-1, 2)
d. (2,5) and (-7,-4)
Slope of the line that passes through the points
The slope = 
a. (1,1) and (7,5)
;
slope = 
= 
slope = 
b. (1,1) and (5,7)
slope = 
= 
slope = 
c. (2,5) and (-1, 2)
slope = 
= 
slope = 1
d. (2,5) and (-7,-4)
slope = 
slope = 
= 1
