MATHEMATICS HIGH SCHOOL

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer 1

Answer:

Answer:

x ≈ 11.1

Step-by-step explanation:

using the cosine ratio in the right triangle

cos42° = $(adjacent)/(hypotenuse)$ = $(x)/(15)$ ( multiply both sides by 15 )

15 × cos42° = x , then

x ≈ 11.1 ( to the nearest tenth )

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Answers

Answer:

Step-by-step explanation:

i just did the test

Factor the expression using GCF
20p-60=___

Answers

20p - 60
20(p) - 20(3)
20(p - 3)

Kendall is designing a backyard garden. She makes a scale drawing of the garden where 3 inches is equivalent to 2 feet in the garden. The fence is rectangular in shape and is 21 inches long by 9 inches wide in the scale drawing. Use this information to determine the actual length and width of the fence in Kendall’s garden.

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answer windex heres the step by step explanation everything =windex Step-by-step explanation:

Graph 3x + 2y = 6. Can someone help with this

Answers

Here are two ways to graph it. You can decide which one seems easier to understand or easier to do:

==> Manipulate the equation into the "slope-intercept" form, where 'y' is
all alone on one side and everything else is on the other side:

3x + 2y = 6

Subtract 3x from each side:   2y = -3x + 6

Divide each side by 2 : y = -3/2 x +3

This is the form you want. Just looking at it, it tells you that the slope
of the line on the graph is (-3/2), and it crosses the y-axis at +3 .
That's enough information to draw the line.
===============================================

=> Another way:

Look at the x-axis and the y-axis on the graph paper ... without any graph drawn on it yet. Just look at the 2 axes.

With an 'x'-number and a 'y'-number, you can find any point on it. Right ?

OK. Notice that at every point on the y-axis, x = 0 . And at every point
on the x-axis, y = 0. This can be very very helpful.

Now take your equation: 3x + 2y = 6 .

You know that the graph is going to be a straight line. And it's pretty obvious that if the line isn't horizontal or vertical, then it has to cross both the x-axis and the y-axis somewhere. If you had an easy way to find the two points where it crosses the axes, you could join those 2 points and you'd have your line !

You DO have an easy way to find those points !

If x=0, then the point is on the y-axis. Take your equation, make x=0, and it'll show you where the line crosses the y-axis:

   3(0) + 2y = 6 .

    2y = 6 .

Divide each side by 2 : y = 3 .

There's one point on the line: (0, 3)

Now remember that if y=0 the point is on the x-axis. So take your equation
and make y=0:

      3x + 2(0) = 6

3x = 6

Divide each side by 3 :    x = 2

There's another point on the line, where it crosses the x-axis: (2, 0) .

Shazam ! You have the 2 points where the line crosses the x- and
y- axes. Mark each one with a little dot, put your ruler down along
them, draw a line between them, and extend it as far in each direction
as you want to. That's the graph of your equation.

Plot these coordinates then draw a line through them and that is the line.

(2,0) x intercept
(0,3) y intercept

Round the mixed number to the nearest whole or half.

11 5/6