Answer: Width will be 10 inches
and height will be 14 inches.
Explanation:
Since we have given that
The are of the triangular display case is 70 sq. in.
Let the width of the base be x
Let the height of the base be 2x-6
As we know the formula for " Area of triangle " i.e.
According to question,
Since width can't be negative so, we take width = 10 inches
And height is given by
Hence, width will be 10 inches
and height will be 14 inches.
Answer: 3
Step-by-step explanation:
<span>Compatible numbers are numbers in a problem that are easy to compute mentally. They are numbers that are close in values to the actual number and this makes it easy to perform mental arithemetics. Compatible numbers can be rounded up to the nearest tens, twenty, etc, in order to make computation easier.</span>
Even function: f(-x) = f(x). If you replace x by -x you should find the same function.
Odd function: f(-x) = -f(x). If you replace x by -x you find the same function with opposite sign;
Is f(-x) = f(x)?
f(x) = (x+4)² = x² + 8x +16
f(-x) = (-x+4)² = x² - 8x + 16, then it's not an even function
Is f(-x) = -f(x)?
f(-x) = (-x+4)² = x² + 8x + 16 , then it's not an odd function
It is neither an even nor an odd function
The equation of a line is y=-1/4x-7, (option 1)
<h3>
What is the equation of a line? </h3>
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
<h3>
How do you find the equation of a line?</h3>
Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.
Given:-
Equation of the line is y=4x+8
The point through which the line passes (-8,4).
here the slope of the line is m1=4
To find the perpendicular line we know the formula
m1*m2=-1
By putting the value of m1 we get m2= -1/4
By using the one-point formula of the line we have
=>(y-y1)=m2*(x-x1)
By putting the values of y1 and x1 we get
(y1,x1)=(-8,4)
=>(y+8)=-0.25*(x-4)
y+0.25x+7=0
Hence the desired equation of the line is y=-1/4x-7
To find more about the straight line equations visit :
brainly.com/question/25969846
#SPJ1