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Vedmedyk [2.9K]
4 years ago
5

What is the answer for #2 only ? Thank you!! 5 points for these

Mathematics
1 answer:
mina [271]4 years ago
4 0

Answer:

x=4.5 y=18.75

Step-by-step explanation:

solve using pythagorean theorem :

hypothenus²=opposite²+adjacent²

for y:

y²=15²+11.25²

y²=225+126.5625

y²=351.5625

y=18.75

for x:

7.5²=6²+x²

x²=7.5²-6²

x²= 56.25-36

x²=20.25

x=4.5

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Which is the solution set of the compound inequality 3.5 x -10> -3 and 8x -9 <39
aivan3 [116]
3.5x-10>-3  add 10 to both sides

3.5x>13  divide both sides by 3.5

x>26/7

x=(26/7, +oo)

...

8x-9<39  add 9 to both sides

8x<48  divide both sides by 8

x<6

x=(-oo,6)

Since this is a compound inequality with AND the solution set will be the union of the two intervals found above.

x=(26/7, 6)
7 0
3 years ago
Read 2 more answers
Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3, 0). Include your work in
mina [271]
We have two points, (3,0) and (0,-3).  So we can find the slope of the line:

m=(y2-y1)/(x2-x1)

m=(-3-0)/(0-3)

m=-3/-3

m=1  so far for the line y=mx+b we have:

y=x+b, b is the y intercept which we were told is -3 so

y=x-3

The above is called the slope-intercept form of a line, y=mx+b, the standard form of a line is ax+by=c, so we need to get both variables on one side of the equation..

y=x-3  subtract x from both sides

-x+y=-3

While the above may be acceptable to some, technically the coefficient of x should be expressed as a positive value, so we should divide the above "solution" by -1 to get:

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6 0
3 years ago
Please help ASAP I hate maths and am so confused
sveta [45]

Answer:

90 i think im sorry if its wrong

Step-by-step explanation:

5 0
3 years ago
Find the slope of the line that passes through the two points.<br> (12,-5) and (10,-4)
hichkok12 [17]

Given parameters:

First point  = (12, -5)

Second point  = (10, -4)

Unknown:

Slope of the line = ?

Slope is simply the vertical rise divided by the horizontal distance.

             Slope  = \frac{Rise }{horizontal distance}

Simply to find slope;

           Slope  = \frac{y_{2} - y_{1}  }{x_{2} - x_{1} }

First point  = (12, -5), x₁  = 12 and y₁  = -5

Second point  = (10, -4), x₂  = 10 and y₂  = -4

Input the parameters:

       Slope  =  \frac{-4 -(-5)}{10 - 12}

                  = \frac{-4 + 5}{-2}

                  = - \frac{1}{2}

The slope of the line is -\frac{1}{2}

7 0
4 years ago
Complete the table below to classify the triangles as scalene or isosceles.
Dmitry_Shevchenko [17]
First two are scalene last one is isosceles.
5 0
3 years ago
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