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3 years ago

Plzzzzzz helppppp asappppp will mark brainliest

Mathematics

1 answer:

Oxana [17]3 years ago

4 0

The triangle with legs x and y is a 30 - 60 - 90 triangle. The patterns of the legs are as follows:

short leg (opposite 30 degree angle) = 1 unit

long leg (opposite 60 degree angle) √3 units

hypotenuse = 2 units.

The pattern is that we double the short leg to get the hypotenuse, or, we go in reverse and take half the hypotenuse to get the short leg.

In the picture we are told the hypotenuse is 16. That makes the short leg as 8, which is x in the picture.

Now we find the long leg and multiply it by √3. This gives us 8√3., the side y.

Thus, x = 8 and y = 8√3.

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Amanda invests 5000 in a cd at an annual rate of 2%. What will her investment be worth at the end of three years?

Nookie1986 [14]

The equations would be 5000(1+0.02)^3 and the answer is $5306.04

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3 years ago

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WHAT VAULE MAKES THE TRIANGLE SIMILAR A.1.5 <br> B.5 c .6 d .9

alukav5142 [94]

C.6 is your answer. half of 4 is 2, and your smaller triangle is 2 and 3, half of 6 is 3.

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2 years ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.

Elanso [62]

Answer:

2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

-4y=-3x+7

Divide both sides by -4:

$y=\frac{-3}{-4}x+\frac{7}{-4}$

Simplify:

$y=\frac{3}{4}x+\frac{-7}{4}$

So the slope of this line is 3/4. So our line that is parallel to this one will have this same slope.

So we know our line should be in the form of $y=\frac{3}{4}x+b$ .

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

$-2=\frac{3}{4}(-4)+b$

$-2=-3+b$

$3-2=b$

$b=1$

so the equation of our line in slope-intercept form is $y=\frac{3}{4}x+1$

So that isn't option 1 because the slope is different. That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

$y=\frac{3}{4}x+1$

Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

$4y=3x+4$

Subtract 3x on both sides:

$-3x+4y=4$

I don't see this option either.

Multiply both sides by -1:

$3x-4y=-4$

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

7 0

3 years ago

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Solve the system of linear equations. 2x + 6y = -3 2x + 6y = 0 Ο Α (0, 2) infinitely many solutions C (9,7) no solution

galina1969 [7]

Answer:

Step-by-step explanation:

-3 = 2x+6y

2x+6y = 0

By transitivity, -3 = 0, a contradiction. No solution.

If you graph the lines, you will see they are parallel, therefore never intersect.

6 0

2 years ago

Simplify the expression 3s - 3s 35 - 3s =

Kisachek [45]

Answer:

6s-35

Step-by-step explanation:

not sure

4 0

3 years ago

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Plzzzzzz helppppp asappppp will mark brainliest