Answer:
Step-by-step explanation:
You can plug in the 294 for A and solve
Answer:
The value is -3
Step-by-step explanation:
Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.
To get this done with, we will need to factorize the expression on the left hand side of the equation.
Thus, we can write;
-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)
What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.
Thus, we can finally write ;
-27x^2 + 9x + 12 as -3(9x^2 -3x -4)
This exactly gives the expression on the right hand side
Thus the value to place in the blank is -3
The answer is 3/4ths. If you have any questions please ask
Answer:
4
Step-by-step explanation:
We'll begin by calculating the slope of the equation. This is illustrated below:
y = 4/3x + 1
Comparing the above equation with:
y = mx + c
The slope (m) of line is 4/3.
Next, we shall determine the slope of the equation perpendicular to:
y = 4/3x + 1
This is illustrated below:
When two lines are perpendicular, their slope are related as:
m2 = – 1/m1
From the above, m1 = 4/3
m2 = –1 ÷ 4/3
m2 = –1 × 3/4
m2 = – 3/4
Next, we shall determine the equation passing through (4, 1). This is illustrated below:
y – y1 = m(x – x1)
y1 = 1
x1 = 4
m = – 3/4
y – y1 = m(x – x1)
y – 1 = –3/4 (x – 4)
y – 1 = –3/4x + 3
y = –3/4x + 3 + 1
y = –3/4x + 4
Comparing:
y = –3/4x + 4 with y = mx + c
The y-intercept, c is 4.
