Answer:
m<IHG=133°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m<ZHG+m<IHZ= m<IHG -----> by angle addition postulate
substitute the given values and solve for x
11x-1+24=12x+13
Combine like terms
11x+23=12x+13
Group terms that contain the same variable
12x-11x=23-13
x=10
Find the measure of angle IHG
substitute the value of x
m<IHG= 12(10)+13
=133°
<span>8 + 18a - 2 + 6a
= 24a + 6
answer is </span><span>D. 24a+6</span>
Answer: g(x) = (x+3)^2
The answer should be in the form of a(x-h)2 + k.
Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.
f(x) = x2 is given.
g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).
How do we write this?
g(x) = f(x-h) where h = -3.
So this is g(x) = f(x - (-3)) = f(x+3)
g(x) = (x+3)^2
Answer:
(7,-3)
Step-by-step explanation:
y = -3
substitute in the first equation
3x - y^2 = 12
3x - (-3)^2 = 12
3x - 9 = 12
3x = 12 + 9
3x = 21
x = 7
coordinates of intersection (7,-3)
Answer:
The answer is below
Step-by-step explanation:
a)
1/4x + 5/2x - 2 = 4 - 1/4x
collecting like terms:
(1/4)x + (5/2)x + (1/4)x = 4 + 2
3x = 6
x = 6/3
x = 2
b)
7.9x + x + 4 = -1.1x - 16
collecting like terms:
7.9x + x + 1.1x = - 16 - 4
10x = -20
x = -2
c)
3.2x + 5.7 = -2.5x
collecting like terms:
3.2x + 2.5x = 5.7
5.7x = 5.7
x = 1
d)
10.1x - 1.6x + 44 = -7
collecting like terms:
10.1x - 1.6x = -7 - 44
8.5x = -51
x = -6
Hence the equations in increasing order of the value of their solutions is:
10.1x - 1.6x + 44 = -7
7.9x + x + 4 = -1.1x - 16
3.2x + 5.7 = -2.5x
1/4x + 5/2x - 2 = 4 - 1/4x
