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3 years ago

Describe and explain the difference between perpendicular and parallel lines

1 answer:

7 0

Perpendicular lines are a pair of lines that, when they intersect (cross over each other) they create 90 degree angles (also known as right angles, or a "perfect corner").
Keep this in mind for the next one: In math on graphs, lines go on forever.
So anyways, parallel lines are 2 lines that run DIRECTLY next to each other, so they never intersect.

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Cat food costs $2.85 for five cans. Ben only wants to buy one can. How much will it cost?

sergejj [24]

Answer:

$0.57 for each can of cat food

Step-by-step explanation:

2.85/5 = 0.57 giving you the answer

7 0

3 years ago

Read 2 more answers

Find the Area of the triangle, Is it In or In2

mars1129 [50]

Answer:

15 In²

Step-by-step explanation:

Area of triangle = 1/2 × base × height

1/2 × 6 × 5 = 15

8 0

3 years ago

Please help !! basic triangle proofs

jeka57 [31]

Answer:

AD=AC (as D is midpoint to from line AC the line AD=AC

Step-by-step explanation:

HENCE PROVED

8 0

3 years ago

Find the area of the shaded region.

lbvjy [14]

Answer:

$48\pi\\\approx 150.796$

Step-by-step explanation:

1.Approach

To solve this problem, find the area of the larger circle, and the area of the smaller circle. Then subtract the area of the smaller circle from the larger circle to find the area of the shaded region.

2.Find the area of the larger circle

The formula to find the area of a circle is the following,

$A=(\pi)(r^2)$

Where (r) is the radius, the distance from the center of the circle to the circumference, the outer edge of the circle. ( $\pi$ ) represents the numerical constant (3.1415...). One is given that the radius of (8), substitute this into the formula and solve for the area,

$A_l=(\pi)(r^2)\\A_l=(\pi)(8^2)\\A_l=(\pi)(64)$

3.Find the area of the smaller circle

To find the area of the smaller circle, one must use a very similar technique. One is given the diameter, the distance from one end to the opposite end of a circle. Divide this by two to find the radius of the circle.

8 ÷2 = 4

Radius = 4

Substitute into the formula,

$A_s=(\pi)(r^2)\\A_s=(\pi)(4^2)\\A_s=(\pi)(16)$

4.Find the area of the shaded region

Subtract the area of the smaller circle from the area of the larger circle.

$A_l-A_s\\=64\pi - 16\pi\\=48\pi$

$\approx150.796$

5 0

3 years ago

It is given 5 and h + 1 are the roots of the quadratic equation x² + (k - 1)x - 5 = 0,where h and k are constant.Find the value

Liono4ka [1.6K]

Answer:

Hello,

k=-3 and h=-2

Step-by-step explanation:

$5\ is\ a \ root \of \ x^2+(k-1)*x-5=0\\\\5^2+(k-1)*5-5=0\\\\5*(k-1)+20=0\\\\k-1=\dfrac{-20}{5} \\\\k=-4+1\\\\\boxed{k=-3}\\$

h+1 is thus a root of x²+(-3-1)*x-5=0

x²-4x-5=0

x²+x-5x-5=0

x(x+1)-5(x+1)=0

(x+1)(x-5)=0

h+1=-1

h=-2

6 0

3 years ago