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3 years ago

7

What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?

1 answer:

rusak2 [61]3 years ago

3 0

Answer:

The equation for the given line is y − 1 = 4(x + 3). Let us convert this equation in slope intercept form y= mx +b, where m is slope and b is the y-intercept. Thus, the slope of this line is 4.Now, we know that the slope of parallel lines are equal. Hence, the slope of the required line is same as the slope of the given line. Hence, the slope of the required line is m = 4It passes through the point (4,32).The point slope form of a line is given by Therefore the equation of the line is y = 4x+16,D is the correct option.

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16x -7<-71<br><br><br> Please Help

saw5 [17]

Answer:

x<-4

Step-by-step explanation:

$16x - 7 < - 71 \\ 16x < - 71 + 7 \\ 16x < - 64 \\ x < - 4$

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3 years ago

Drawing it out would be best can you help me please

leva [86]

Answer:

$z_1+z_2$ = (-2,5)

Step-by-step explanation:

To Find: $z_1+z_2$

Solution :

Referring the given graph

We can find the coordinates of $z_1$ and $z_2$

Coordinates of $z_1$ = (-7,1)

Coordinates of $z_2$ = (5,4)

Thus Coordinates of $z_1+z_2$ = (-7+5,1+4) = (-2,5)

Thus $z_1+z_2$ = (-2,5)

So, the point $z_1+z_2$ = (-2,5) is shown on the attached graph file

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2 years ago

How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

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3 years ago

Simplify the expression: 2(4 + 6j)

aniked [119]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{8 + 12j}}}}}$

Step-by-step explanation:

$\sf{2(4 + 6j)}$

Distribute 2 through the parentheses

$\longrightarrow{ \sf{2 \times 4 + 2 \times 6j}}$

$\longrightarrow{ \sf{8 + 12j}}$

Hope I helped!

Best regards! :D

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3 years ago

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vivado [14]

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