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ikadub [295]
3 years ago
14

Write an equation in slope-intercept form for the line that passes through (4, -4) and is parallel to 3 + 4x = 2y – 9.

Mathematics
1 answer:
const2013 [10]3 years ago
8 0
3 + 4x = 2y - 9
2y = 4x + 3 + 9
2y = 4x + 12
y = 2x + 6

if it's parallel, than if y = ax + b, a = 2 and you need to find b

(4, -4)
x = 4
y = -4

-4 = 2*4 + b
-4 = 8 + b
b = -12

so an equation is:
y = 2x - 12
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a room in a form of a cuboid has a length of 5cm, height 8cm and breadth 0.07m. if one person can occupy a volume of 14cm3(cube)
Over [174]

Answer:

20 people

Step-by-step explanation:

The volume of a cuboid is equal to length * breadth * height.

First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.

Next, the volume is  length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so

280cm³/14cm³ = 20 people

Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x

5 0
3 years ago
Find the quotient.<br><br> 35.4 ÷ 0.59
AleksandrR [38]

Answer:

35.4÷ 0.59=60

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Supplementary angles are those whose measurements add up to 90 degrees <br> True or False
erma4kov [3.2K]

Answer: No

Step-by-step explanation:

Complementary means angles add up to 90 degrees.

Supplementary means angles add up to 180 degrees.

Since Supplementary doesn't add up to 180 degrees, the answer is false.

8 0
2 years ago
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Brad has eight more nickels than quarters. Altogether he has $6.10. how many of each does he have
wlad13 [49]

Brad have 19 quarters and 27 nickels.

Step-by-step explanation:

Given,

Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents

One quarter = 25 cents

One nickel = 5 cents

Let,

x represent the number of quarters.

y represent the number of nickels.

According to given statement;

25x+5y=610     Eqn 1

y = x+8              Eqn 2

Putting value of y from Eqn 1 in Eqn 2

25x+5(x+8)=610\\25x+5x+40=610\\30x=610-40\\30x=570

Dividing both sides by 30

\frac{30x}{30}=\frac{570}{30}\\x=19

Putting x=19 in Eqn 2

y=19+8\\y=27

Brad have 19 quarters and 27 nickels.

Keywords: linear equation, subtraction

Learn more about subtraction at:

  • brainly.com/question/9369548
  • brainly.com/question/9328925

#LearnwithBrainly

7 0
2 years ago
Im dumb so help me out here 50 points each Click on the image to enlarge
antiseptic1488 [7]

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, that is

∠ 1 + ∠ 2 + ∠ 3 = 180°

Given ∠ 1 + ∠ 2 = 134°, then

134° + ∠ 3 = 180° ( subtract 134° from 180° )

∠ 3 = 46° → D

8 0
3 years ago
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