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sveta [45]
2 years ago
8

Solve this system of equations using the substitution method.

Mathematics
1 answer:
miskamm [114]2 years ago
6 0

Answer:

(5,14)

Step-by-step explanation:

4x-6=2x+4 because I chose any of the y values

change of subjects ⬇️

4x-2x =4+6

2x=10

2x÷2 and 10÷2

⬆️ making x stand alone

x= 5

put x into any of the equation

y=2(5)+4

y= 10+4

y=14

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Step-by-step explanation:

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PLEASE HELP DUE SOON!!!!!<br><br><br> type an equation for the following pattern
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Answer:

28?

Step-by-step explanation:

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3 years ago
A painting contractor paints with a brush at a rate of 192 square feet per hour. using a paint sprayer, she is able to cover 576
lara31 [8.8K]

Hi there,

2400 + 1632 = 4032

3 * 192 = 576

4032 - 576 =>

3532 - 76 =>

3532 + 24 - 76 - 24

3556 - 100

3456


3456 / 576 => 6

Therefore, 6 hours of sprayer work

Hope this helps!

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5 0
3 years ago
Suppose 540 people visit the zoo.Predict how many people will choose the monkey exhibit as their favorite
Margarita [4]
Are there any answer choices?
8 0
3 years ago
Read 2 more answers
-
alisha [4.7K]

Answer:

d=3\sqrt{2}\ units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{9-5}{7-3}

m=\frac{4}{4}=1

<em>Find the equation of the line in point slope form</em>

y-y1=m(x-x1)

we have

m=1\\point\ (3,5)

substitute

y-5=(1)(x-3)

isolate the variable y

y=x-3+5

y=x+2 -----> equation A

step 2

Find the equation of the perpendicular line to the given line L  that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

so

The slope of the given line L  is m=1

The slope of the line perpendicular to the given line L  is

m=-1

<em>Find the equation of the line in point slope form</em>

y-y1=m(x-x1)

we have

m=-1\\point\ (2,10)

substitute

y-10=-(x-2)

isolate the variable y

y=-x+2+10

y=-x+12 ----> equation B

step 3

Find the intersection point equation A and equation B

y=x+2 -----> equation A

y=-x+12 ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

(2,10) and (5,7)

substitute

d=\sqrt{(7-10)^{2}+(5-2)^{2}}

d=\sqrt{(-3)^{2}+(3)^{2}}

d=\sqrt{18}\ units

simplify

d=3\sqrt{2}\ units

see the attached figure to better understand the problem

6 0
3 years ago
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