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mixer [17]
3 years ago
5

Solve each of the following equations. (2 answers) |2x-3|=2

Mathematics
1 answer:
Roman55 [17]3 years ago
6 0

Answer:

x= 5/2 or 1/2

Step-by-step explanation:

absolute value always gives us positive

if |u| = 2, u can be -2 or 2

2x-3 = 2

2x = 5

x = 5/2

2x-3 = -2

2x = 1

x= 1/2

in general, set the stuff inside the absolute value to equal both positive and negative of the equivalent value

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Find the value of each variable. If you answer is not an integer, express it in simplest rauitar
Marrrta [24]
This is one of the special right triangles known as a 30, 60, 90 triangle. (Characterized by its angles)

In these triangles, the shortest leg is HALF the length of the hypotenuse.

The longest leg is (√3) times the length of the short leg.

Therefore, the shortest leg is 20, and the longest leg is 20(√3)

FINAL ANSWER:

SHORT LEG: 20 units

LONG LEG: 20√3 units
8 0
3 years ago
Which equation represents a line which is perpendicular to the line y=-4/5x+2?
lyudmila [28]

Answer:

D) 4x + 5y = -30 = -4/5

Step-by-step explanation:

A) 5x + 4y = 28 slope = -5/4

b) 4x-5y = -25 slope = 4/5

c) 4y - 5x = -12 slope = 5/4

d) 4x + 5y = -30 slope = -4/5

5 0
2 years ago
What is the value of the expression? Enter the answer in the box.<br> 4+(8 - 7) X6-1
e-lub [12.9K]
Answer: 9

Explanation: you would use PEMDAS to solve the algebraic expression first by doing parentheses so subtract 8 and 7 which leaves you with 4 + 1 times 6-1. You would then multiply 1 into 6 which would leave you with 4 + 6 - 1 which you would then sum up 4 and 6 which leaves you with 10-1 which would give you the answer of 9

So the answer would be 9

Hope this helps!
4 0
2 years ago
A hobby store marks up remote-controlled cars 25%. The original
aksik [14]
Answer: $37.50

Explanation:
1. Turn 25% into a decimal by removing the “%” and placing a “0.” in front of it. (0.25)
2. Multiply the decimal (0.25) by the original price of the car (30). (0.25x30=7.5)
3. Add 7.5 to 30 to get the answer. (7.5+30=37.5=$37.50)
7 0
3 years ago
Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π and r ≥ 0. Order your answers from smallest to largest θ
DerKrebs [107]

Answer:

∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,

∅8=345°

Step-by-step explanation:

Data

r = 8 sin(2θ), r = 4 and r=4

iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°

according the graph 2, the cut points are:

I quadrant:

0+15° = 15°

90°-15°=75°

II quadrant:

90°+15°=105°

180°-15°=165°

III quadrant:

180°+15°=195°

270°-15°=255°

IV quadrant:

270°+15°=285°

360°-15°=345°

No intersection whit the pole (0)

7 0
3 years ago
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