Answer: Y= -3/4x+13
Step-by-step explanation:
A line passes through the point (8,7) and has a slope of negative 3/4 Write an equation in slope-intercept form for this line.
This is what i get
Slope of a line Y= mx+b
Y= 7
X= 8
M= -3/4
7= -3/4(8)+b
7= -6+b
7+6=b
13=b
Y= -3/4x+13
Since the square has 4 sides, you only have to add
four times.
The <span>perimeter of the square is: </span><span>
cm </span>
First, let the number of skis rented by x and the number of snowboards rented by y. We can then assemble the first equation from the amount of money made from the rentals.
44x + 58y = 2232
The second equation can come from the fact that 9 more skis were rented than snowboards.
y = x - 9
Therefore our system is:
44x + 58y = 2232
y = x - 9
(a) mtan refers to the slope of the tangent line. Given <em>f(x)</em> = 9 + 7<em>x</em> ², compute the difference quotient:
Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that
and so the slope of the line at <em>P</em> (0, 9), for which we take <em>x</em> = 0, is 0.
(b) The equation of the tangent line is then <em>y</em> = 9.
Answer:
x = -1 and y = -1
Step-by-step explanation:
Solve 3x+3y=−6;−x+y=0
Steps:
I will solve your system by substitution.
−x+y=0;3x+3y=−6
Step: Solve−x+y=0for y:
−x+y+x=0+x(Add x to both sides)
y=x
Step: Substitutexforyin3x+3y=−6:
3x+3y=−6
3x+3x=−6
6x=−6(Simplify both sides of the equation)
6x
6
=
−6
6
(Divide both sides by 6)
x=−1
Step: Substitute−1forxiny=x:
y=x
y=−1
Answer:
x=−1 and y=−1
