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2 years ago

Write the slope-intercept form of the equation of the line that passes through the point (-4,0 ), and is parallel to y=-(5/4x)+4

Mathematics

1 answer:

amid [387]2 years ago

4 0

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1= -4 y_1= 0

m= +5/4 (parallel means same slope)

an equation in the point-slope form is : y +0= -5/4(x+4)

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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

Nikitich [7]

Answer:

$\frac{-1}{\sqrt{17} }$

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒ $b= \frac{-a}{4}$

slope of line = $tan\theta =\frac{P}{B}= \frac{-1}{4}$

⇒ $tan\theta$ is negative therefore it lies into 4th quadrant

By, Pythagoras theorem $H^2=P^2+B^2$

by putting value of P= -1 & B=4

the value of $H=\sqrt{17}$

with the given condition $cos\theta>0$

i.e. $\theta$ ∈ (3π/2, 2π)

now, $sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}$

6 0

3 years ago

A tanker of capacity 200 litres has 12.05 litres of oil. how much more oil can be poured into the tanker ?

Scilla [17]

Answer:

187.95 liters.

Step-by-step explanation:

the entire capacity of the tank is 200 liter, you subtract how much oil is in there already, you will have the remaining Of the capacity that can be added.

200 - 12.05 = 187.95

3 0

3 years ago

Point G is on line segment{FH}

Angelina_Jolie [31]

Answer:

FG = 7

Step-by-step explanation:

5x+2+3x-1=9

8x+1=9

8x = 8

x = 1

FG = 5(1)+2 = 7

8 0

3 years ago

Please help with this will give brainliest to the first answer!

kozerog [31]

Answer:

your answer is 415 in^3

Step-by-step explanation:

ok the equation in finding the volume of a come is

V= $\pi r^2 \frac{h}{3}$

step 1: plugin

$\pi =3.14$

3.14 x 6^2 x 11/3

3.14x 36 x 11/3 = (6/3 turns into a 2)

113.04x 11/3= 114. 48, when rounded, it's going to give you 415 in^3

5 0

2 years ago

Beth estimates her expenditures for transportation as follows: May, $91; June, $122; July $478. What is her estimated average mo

kipiarov [429]

Answer:

around 230

Step-by-step explanation:

91+122+478=691

691÷3= 230.33333333

4 0

3 years ago