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3 years ago

1 4

Mathematics

1 answer:

motikmotik3 years ago

5 0

$(1, 4), \ \ (2 , 8 ) \\ \\ slope \\ \\ m = \frac{8-4}{2-1}=\frac{4}{1}=4 \\ \\y=ax+b$

$4=4*1+b\\ \\b=4-4\\ \\b=0 \\ \\y=4x$

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What is the solution of the system?

kakasveta [241]

Divide the first equation by 2 and add the result to the second equation. This will eliminate x.

... (-4x -2y)/2 + (2x +4y) = (-12)/2 +(-12)

... 3y = -18 . . . . . collect terms

... y = -6 . . . . . . . divide by 3

Substitute this into either equation to find x. Let's use the second equation, where the coefficient of x is positive.

... 2x +4(-6) = -12

... 2x = 12 . . . . . . . . add 24

... x = 6 . . . . . . . . . . divide by 2

The solution is (x, y) = (6, -6).

8 0

3 years ago

Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFr

wariber [46]

Answer: hello your question is poorly written attached below is the complete question

answer:

$\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))$ --- ( option d )

Step-by-step explanation:

The correct option that represents a square root of 3 as related to the question attached below is :

$\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))$

8 0

2 years ago

Mr. Arellano decided to make cookies for 7th grade students. He was supposed to mix 4 cups of flour, 1.2 cups of sugar, and 2.5

Ahat [919]

Answer:

0.6 cups of sugar and 1.25 cups of chocolate chips

Step-by-step explanation:

We can begin to solve this problem with a simple proportion:

$\frac{4}{2}$ = $\frac{1.2}{x}$ = $\frac{2.5}{y}$

(x = the new # of sugar y = new # of chocolate chips)

In order to keep everything proportional, we must abide by the scale factor shown with the the flour.

Basically, if we're going to use three times the amount of flour we actually need, then we need to triple all our other ingredients.

We can see that the scale factor is one half, so

x = 1.2 * 0.5

and

y = 2.5 * 0.5

This means that:

x = 0.6

y = 1.25

This means that he has to use 0.6 (or 3/5) cups of sugar and 1.25 (or 9/8) cups of chocolate chips.

8 0

2 years ago

Which expressions are equivalent to 12a+24b+36?

DochEvi [55]

See photo for solution

3 0

3 years ago

*the problem is in the pic that is uploaded

Alex787 [66]

Hmm,
ok,
complete square ok
wait wat

he went from
(x-3)²=16 to
x-3=16
?????
he square rooted the left side only
he has to do it to both sides

he should have done
(x-3)²=16
x-3=+/-4
x=3+/-4
x=7 or -1

8 0

3 years ago