Step-by-step explanation:
x²+4-4x+y²=3
x²+y²-4x+1=0
-3/4x + 5/6 y = 15
Multiply through by 6
-9/2x + 5y = 90
Add 9/2x to both sides
5y = 90 + 9/2x
Divide both sides by 5
y = 18 + 9/10x
y = 9/10x + 18
Comparing with the general equation of a straight line y = mx + c
Gradient (m) = 9/10 or 0.9
and the y - intercept (c) = 18
Answer:
D.
Step-by-step explanation:
When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be
, and
would be -5. The equation is written in slope-intercept form:

m is the slope, so find the equation with the opposite reciprocal of 3,
:
is the only option with the correct slope, so the answer is D.
Answer:

Step-by-step explanation:
We need to find m ∠EGD.
From the given figure, we can see that, ∠BGA & ∠EGD are vertically opposite angles (opposite angles that share the same vertex ⟶ G).
Also, vertically opposite angles are equal to each other.
Given, ∠BGA = 30°
So, ∠EGD = ∠BGA = 30°.

Answer:
Multiply 1240 by 1.15 to get 1426 students enrolled this year.
: