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Rom4ik [11]
3 years ago
15

Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.

Mathematics
2 answers:
IRINA_888 [86]3 years ago
8 0
y = 4x - 28 is the equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2. 
NemiM [27]3 years ago
4 0
-----------------------------------------------------------
Find Slope :
-----------------------------------------------------------
y = 4x + 2
Slope = 4
Slope of the Parallel line = 4

-----------------------------------------------------------
Substitute slope = 4 :
-----------------------------------------------------------
y = mx + b 
y = 4x +b

-----------------------------------------------------------
Find y-intercept :
-----------------------------------------------------------
y = 4x + b 
At point (8, 4), x = 8 when y = 4
4 = 4(8) + b
4 + 32 + b
b = 4 - 32
b = -28

-----------------------------------------------------------
Substitute y-intercept into the equation :
-----------------------------------------------------------
y = 4x - 28

-----------------------------------------------------------
Answer : y = 4x - 28 (Answer A)
-----------------------------------------------------------
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Which graph correctly solves the system of equations below? <br> y=-x^2+1 <br> y=x^2-4
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Red line shows
y=x^2-4 , cause it's going through point (0,-4)

So blue line shows
y= -x^2+1 Point (1,0) belong to it , moreover x factor is negative , so the arms of parabola will go down

Have nice evenig :)
Greetings From Poland.
5 0
3 years ago
PLS PLS HELP :)) which series of transformations takes the graph of f(x)=2x+3 to the graph of g(x)=-2x+4?
jasenka [17]
B. Reflect the graph about the y-axis and translate one unit up
7 0
3 years ago
Write 85% as a fraction in simplest form.
pav-90 [236]

Answer:

17/20

Step-by-step explanation:

85% can easily be written as 85/100 and this is true, but we have to simplify to the simplest form.

An easy way to simplify is to divide the numerator and denominator by the GCF (Greatest Common Factor)

The GCF of 85 and 100 is 5.

85 ÷ 5 = 17

100 ÷ 5 = 20

We can no longer simplify 17/20 because 17 is prime so your final answer is 17/20!

Hope you have a good day and luck in finding good memes!

8 0
3 years ago
A rectangular lawn is 2 m longer than it is wide.
PtichkaEL [24]

Let's breadth be x

  • Length be x+2

ATQ

\\ \sf\longmapsto x(x+2)=21

\\ \sf\longmapsto x^2+2x=21

  • Use completing the square method

\\ \sf\longmapsto 4(x^2+2x)=4(21)

\\ \sf\longmapsto 4x^2+8x=84

\\ \sf\longmapsto (2x)^2+2(2x)(2)=84

\\ \sf\longmapsto (2x)^2+2(2x)(2)+2^2=2^2+84

\\ \sf\longmapsto (2x+2)^2=88

\\ \sf\longmapsto 2x+2=\pm\sqrt{88}

  • As it's dimensions we will take positive

\\ \sf\longmapsto 2x+2\approx 9.7

\\ \sf\longmapsto 2x=9.7-2=7.7

\\ \sf\longmapsto x=3.8

  • x+2=3.8+2=5.8

Now

\\ \sf\longmapsto Perimeter=2(L+B)

\\ \sf\longmapsto perimeter=2(3.8+5.8)

\\ \sf\longmapsto perimeter=2(9.6)

\\ \sf\longmapsto Perimeter=19.2m

  • Length of 1 strip=13m

Total strips

\\ \sf\longmapsto \dfrac{19.2}{13}

\\ \sf\longmapsto 1.47strips

  • She needs 2 strips
3 0
3 years ago
Read 2 more answers
7/8 as a decimal<br><br> I got: .807 (repeating)
yan [13]

Answer:

the answer is .875

Step-by-step explanation:

u were close!! keep trying

8 0
3 years ago
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