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kaheart [24]
2 years ago
6

Write the equation of the line that passes through (-4,3) and is parallel to y = -2x - 8.

Mathematics
1 answer:
kobusy [5.1K]2 years ago
8 0

Answer:

y = -2x - 5

Step-by-step explanation:

Let the equation if the line be y = mx + c

since the line is parallel to y = -2x - 8, their gradients/slope must be the same (aka m = -2)

sub (-4, 3):

3 = -2(-4) + c

c = -5

therefore, the equation of the line is y = -2x - 5

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

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In FGH, the measure of H=90°, HF=91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.
Rudik [331]

Given:

The angle of H=90°, HF=91 feet, and GH = 50 feet.

The objective is to find the measure of angle<em> F.</em>

In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.

The trigonometry formula which relates with the opposite and adjacent side is,

\tan \theta=\frac{opposite}{adjacent}

Now substitute the value of opposite and adjacent in the above formula to find the value of angle <em>F</em>.

\begin{gathered} \tan \theta=\frac{50}{91} \\ \theta=\tan ^{-1}(0.549) \\ \theta=28.787^0 \\ \theta\approx29^0 \end{gathered}

Hence, the value of angle <em>F</em> is 29 degree.

3 0
1 year ago
Kate and Melisa both went to the same store to buy eggs and bread for their families. Kate bought 3 cartons of eggs and 5 loaves
VMariaS [17]
Write an equation system based on the problem
For an instance, e stands for the price of a carton of eggs, and b stands for the price of a loaf of bread

"Kate bought 3 cartons of eggs and 5 loaves of bread for $30.07" could be written as 3e + 5b = 30.07 (first equation)
"Melissa bought 2 cartons of eggs and 2 loaves of bread for $14.74" could be written as 2e + 2b = 14.74 (second equation)

Solve the equation system using elimination method
Eliminate b to find e. To eliminate b, we should equalize the coefficient of b.
3e + 5b = 30.07 (multiplied by 2)
2e + 2b = 14.74 (multiplied by 5)
-------------------------------------------
  6e + 10b = 60.14
10e + 10b = 73.70
------------------------- - (substract)
-4e            = -13.56
   e            = -13.56/-4
   e            = 3.39

The price for a carton of eggs is $3.39
8 0
3 years ago
The sum of the cost of dinner d and 12 tip divided equally between 3 people
jekas [21]
3d=12
This should be your equation
And if it is asking for the answer it would be 4
I hope this answer helps!
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2 years ago
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Vadim26 [7]

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6 0
2 years ago
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27 - (2 + 3) - 10 ÷ 2
svetlana [45]

Answer:

27_5_10/2

27_5_5

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3 years ago
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