E are given with two functions: h(x) = x – 7 and g(x) = x2. In this problem, we are asked to determine the value of g(h(5)). first we get g(h(x)) which is equal to (x-7)2, when x is substituted by 5, then g(h(5)) = (5-7)^2 equal to 4

3 0

3 years ago

What prime numbers equal 49

Oksi-84 [34.3K]

7 and seven are both Prime numbers and when you multiply then you get 49.
Hope this helps!

5 0

3 years ago

What is the y-intercept of the line perpendicular to the line y = four thirdsx + 1 that includes the point (4, 1)?

s2008m [1.1K]

Answer:

Step-by-step explanation:

Given the line: $y=\dfrac43 x+1$

The gradient of the line, $m=\dfrac43$

A line perpendicular to the given line will have a gradient, $m=-\dfrac34$ (by definition of perpendicularity).

Therefore, a perpendicular line that passes through the point (4,1) is:

$y-y_1=m(x-x_1)\\y-1=-\dfrac34(x-4)\\y-1=-\dfrac34x+3\\y=-\dfrac34x+3+1\\y=-\dfrac34x+4$

Comparing with the slope-intercept form y=mx+x, the slope of the perpendicular line, b=4.

4 0

3 years ago