Pareallell lines have same slope
y=mx+b, m=slope
y=3x-8 so we need
y=3x+b
find b
so given (4,-5)
we can subsitute the point
(x,y)
(4,-5)
x=4 then y=-5
so
-5=3(4)+b
-5=12+b
-17=b
y=3x-17 is equation
D is answer
The gross income is $85,463
Here are the deduction before tax is applied:
<span>$896 - income
</span>$2,145 - charitable donations
<span>$3,473 - medical expenses
2 x </span><span>$3,650 - exemptions
Adding all the deductions:
</span>$896 + $2,145 + $3,473 + 2 x $3,650 = $13,814
Subtracting this from the gross income:
$85,463 - $13,814 = $66,129
Answer:
b= 70
Step-by-step explanation:
The sum of the opposite interior angles of a triangle is equal to exterior angle.
a+b = 140
We know that a = b since PQ = RQ The angles opposite the equal sides in an isosceles triangle are equal
b+b = 140
2b =140
Divide by 2
2b/2 =140/2
b= 70
To find a rational function's vertical asymyptotes, you need to find when the denominator is zero. So when is the denominator x² + 3x - 4 zero? We set that denominator equal to zero.
x² + 3x - 4 = 0
This second degree equation factors. We want a pair of numbers that multiply to 4, and there are only two pairs: 2 and 2, 1 and 4. We want the sum to 3, and one must be negative. -2 and 2 add to zero, -4 and 1 add to -3, -1 and 4 add to 3. The last one is the pair.
x² + 3x - 4 = 0
(x + 4) (x - 1) = 0
x = -4 or x = 1
So the function's vertical asymptotes are at x = 1 and x = -4.
This is in the lower right corner and is a right triangle. So we use the Area calculation of a right triangle.
<u>ab</u> = <u>(4)(2)</u> The height is given as 4 in and we know the base is 2 in
2 2 We know this because the top right distance is given as 2
8 / 2 = 4 square inches
