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2 years ago

W Write an equation of A-line that passes through the point (2,0) and is perpendicular to the line y= -1/2x + 3

1 answer:

8 0

Perpendicular is opposite sign and reciprocal
-1/2 = 2, the slope is 2
Y = 2x + b, plug in point
0 = 4 + b, b = -4
Equation: y = 2x - 4

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What is Quantum theory?

Mariana [72]

Answer:

a theory of matter and energy based on the concept of quanta, especially quantum mechanics.

Step-by-step explanation:

there really is no step by step explanation :)

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3 years ago

find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL

larisa86 [58]

X=72 cause 180-(51+57) so 180-108 and the triangle is acute cause all of the angle measures are below 90 degrees.

So your answer is
x=72
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2 years ago

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a collection of dimes and quarters is worth $19.85. There are 128 coins in all. How many of each type of coin are in the collect

PolarNik [594]

Number of dimes were 81 and number of quarters were 47

Solution:

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that There are 128 coins in all

number of dimes + number of quarters = 128

d + q = 128 ------ eqn 1

Also given that collection of dimes and quarters is worth $19.85

number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 19.85

$d \times 0.10 + q \times 0.25 = 19.85$

0.1d + 0.25q = 19.85 -------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 128 - q -------- eqn 3

Substitute eqn 3 in eqn 2

0.1(128 - q) + 0.25q = 19.85

12.8 - 0.1q + 0.25q = 19.85

12.8 + 0.15q = 19.85

0.15q = 7.05

Therefore from eqn 3,

d = 128 - q

d = 128 - 47

Thus number of dimes were 81 and number of quarters were 47

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3 years ago

66.

Naddik [55]

Answer: 530.66 units²

Step-by-step explanation:

$Area_{(circle)}=\pi r^2\qquad and\qquad r=\dfrac{diameter}{2}\\\\\\\implies Area_{(circle)}=\pi \bigg(\dfrac{diameter}{2}\bigg)^2\\\\\\\text{It is given that the diameter = 26:}\\A=\pi\bigg(\dfrac{26}{2}\bigg)^2\\\\\\.\quad =\pi \cdot 13^2\\\\\\.\quad =169\pi\\\\\\.\quad =\large\boxed{530.66}$

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3 years ago

Denise is helping her dad build a clubhouse that is shaped like a rectangular prism. The height will be 8 ft. and the length wil

Anna35 [415]

Answer: 6=c.

Step-by-step explanation:

First multiply 8 times 6 and get 48 then you divide 48 from 288 and get 6.

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2 years ago

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