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NARA [144]
3 years ago
15

If y = mx + b is the equation of a line perpendicular to the line y = 5x – 2, what is the value of m?

Mathematics
2 answers:
Law Incorporation [45]3 years ago
7 0

Answer:

A.) -1/5   i hope this helps!   :)

Step-by-step explanation:

y = mx + b

y = 5x - 2

the perpindicular line to y = 5x - 2

you have to flip the 5x to be a negative and flip it to 1 over 5

y = -1/5x - 2 is perpendicular to the line y = 5x - 2

Lady_Fox [76]3 years ago
5 0

Answer:

A

Step-by-step explanation:

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How much paint does Brielle need to finish her room
KATRIN_1 [288]

Answer:

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

Step-by-step explanation:

As, this question is incomplete, so we will create similar question and complete it. '

Let's suppose Brielle's room has following dimensions:

Length of two walls =  10 ft

Length of other two walls = 12 ft

Height of the room from bottom to ceiling = 10 ft

In order to calculate the amount of paint needed, we need to calculate the surface area of the room to be painted.

So, for that, add all the lengths together and multiply it by height of the room.

SF = (L1 +L2 +L3+ L4) x H

SF = (10 + 10 + 12 + 12) x (10)

SF = 440 sq.ft = Actual footage of the room to be painted.

Now, we have convert this number in gallons to know the amount of paint required to paint Brielle's room. For this, we need to divide our SF to 350 sq.ft per gallon.

Paint Needed = 440 sq.ft / 350 sq.ft per gallon

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

4 0
3 years ago
Use triangle ABC drawn below & only the sides labeled. Find the side of length AB in terms of side a, side b & angle C o
Brrunno [24]

Answer:

AB = \sqrt{a^2 + b^2-2abCos\ C}

Step-by-step explanation:

Given:

The above triangle

Required

Solve for AB in terms of a, b and angle C

Considering right angled triangle BOC where O is the point between b-x and x

From BOC, we have that:

Sin\ C = \frac{h}{a}

Make h the subject:

h = aSin\ C

Also, in BOC (Using Pythagoras)

a^2 = h^2 + x^2

Make x^2 the subject

x^2 = a^2 - h^2

Substitute aSin\ C for h

x^2 = a^2 - h^2 becomes

x^2 = a^2 - (aSin\ C)^2

x^2 = a^2 - a^2Sin^2\ C

Factorize

x^2 = a^2 (1 - Sin^2\ C)

In trigonometry:

Cos^2C = 1-Sin^2C

So, we have that:

x^2 = a^2 Cos^2\ C

Take square roots of both sides

x= aCos\ C

In triangle BOA, applying Pythagoras theorem, we have that:

AB^2 = h^2 + (b-x)^2

Open bracket

AB^2 = h^2 + b^2-2bx+x^2

Substitute x= aCos\ C and h = aSin\ C in AB^2 = h^2 + b^2-2bx+x^2

AB^2 = h^2 + b^2-2bx+x^2

AB^2 = (aSin\ C)^2 + b^2-2b(aCos\ C)+(aCos\ C)^2

Open Bracket

AB^2 = a^2Sin^2\ C + b^2-2abCos\ C+a^2Cos^2\ C

Reorder

AB^2 = a^2Sin^2\ C +a^2Cos^2\ C + b^2-2abCos\ C

Factorize:

AB^2 = a^2(Sin^2\ C +Cos^2\ C) + b^2-2abCos\ C

In trigonometry:

Sin^2C + Cos^2 = 1

So, we have that:

AB^2 = a^2 * 1 + b^2-2abCos\ C

AB^2 = a^2 + b^2-2abCos\ C

Take square roots of both sides

AB = \sqrt{a^2 + b^2-2abCos\ C}

6 0
3 years ago
Show that 5^133 +26 is a multiple of 31
MArishka [77]

Answer:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A car dealership buys a car for $12,500 and sells it for $15,750. What is the percent markup( percent increase)
Natalka [10]

Answer:

About 1.26%

Step-by-step explanation:

Divide 15,750 by 12,500 to find your answer.

Hope this helped!

8 0
2 years ago
What is the midpoint
liq [111]

Answer:

midpoint formula:

x1+x2/2 y1+y2/2

-4 + (-2)/2 which then simplifies to -6/2 and then to -3

2 + 2 /2 which then simplifies to 2

x= -3

y= 2

so (-3,2) is the coordinate point of the midpoint of this segment

5 0
3 years ago
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