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3 years ago

5

6. Dawn lingua bought three yards of cloth to make some curtains. The cloth was on sale for $2.25 per yard. How much did dawn pa

y for the cloth if the sales tax was 5%?

1 answer:

jekas [21]3 years ago

8 0

7.25 u need to add 2.25+5=7.25

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F(x) = 4x2 + 1 and g(x) = x2 - 5, find (f+ g)(x)

inn [45]

Answer:

Step-by-step explanation:

(f + g)x translates into a more readable f(x) + g(x) so all you do is

f(x) + g(x) = 4x^2 + 1 + x^2 - 5

f(x) + g(x) = 5x^2 - 4

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The sum of three consecutive odd numbers is 99.<br> What is the smallest of the three numbers ?

MAVERICK [17]

31

hope this is helpful!

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2 years ago

I need help with this<br>

zzz [600]

Answer:

Yes because 5^2 + 12^2 = 13^2

Step-by-step explanation:

We can check using the Pythagorean theorem

a^2 + b^2 = c^2

5^2 + 12^2 = 13^2

25+ 144= 169

169 = 169

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Find the value of x for which m parallel to n <br> A. 31 <br> B. 33 <br> C. 39 <br> D. 41

olya-2409 [2.1K]

Hello!

We are told that n and m are parallel.
The angle that measures 105 degrees is supplementary with the alternate interior angle of the angle which measures (3x - 18) degrees. Supplementary angles add to equal 180 degrees, so we can make an equation by first finding the measure of the alternate interior angle.

180 - 105 = 75

The alternate interior angle measures 75 degrees, so we can set that equal to 3x - 18 to solve for x since alternate interior angles are congruent.

75 = 3x - 18
93 = 3x
31 = x

Answer:
x = 31

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3 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.

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