MATHEMATICS HIGH SCHOOL

7y-2y+4+3y=-20
please show your work

Answers

Answer 1
Answer: 7y-2y+4+3y=-20

First, you want to combine your 'y' Values.

7y-2y+3y
So subtract 7-2 then add 3. It equals 8
So your final 'y' value Is 8y.

So your new problem is...8y+4=-20

Now you get the 'y' alone and the first step to that is to subtract the 4 on BOTH sides.

8y+4=-20
-4 -4

Now your problem is 8y=-24

Step two to getting the 'y' alone is to divide by 8. So...

8y=-24
/8 /8

y=-3


So there you go. Hope I helped.

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The county animal park is shaped like a triangle. Two perpendicular sides of the park measure 2.3 miles and 3.4 miles. What is the area of the animal park?a. 3.91 mi²b. 5.7 mi²c. 7.82 mi²d. 11.4 mi²

Evaluate each expression for the given values of the variables. SHOW ALL WORK. -5(x+2y)+15(x+2y)

x=7

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Answers

Here you go if that helps.

A 12-foot ladder rests against the side of a house. The base of the ladder is 3 feet away from the side of the house. How high above the ground is the top of the ladder? Round to the nearest tenth of a foot.

Answers

Using Pythagorean's Theorem we know that a^2 + b^2 = c^2
C is the length of the ladder, and we are given one of the sides, let's call that side b
                                                                                           _________
we have a^2 + b^2 = c^2, and a^2 = c^2 - b^2, so a = √ c^2 - b^2
        _________      ______     ____
a = √12^2-3^2 = √ 144-9 = √ 135 = 11.61895 
so the top of the ladder is 11.6 feet above the ground
This question is asking about the Pythagorean Theorem (A^2 + B^2 = C^2)

You know the length of the hypotenuse (this is 12 feet, the length of the ladder, which is C), you also know A, 3 feet from the side of the house.

So we have to plug into the formula what we know 3^2 + B^2 = 12^2, or 9 + B^2 = 144. By rearranging the formula you get 144 - 9 = B^2. Once you solve for B^2 you can take the square root to get B. (It's 11.6!)

The graph shows the functions f(x), p(x), and g(x):Part A: What is the solution to the pair of equations represented by p(x) and f(x)?

Part B: Write any two solutions for f(x).

Part C: What is the solution to the equation p(x) = g(x)? Justify your answer.

Answers

The function f(x) is:

f(x)=x

This is because the line f(x) passes through the points (-1,-1), (0,0), (1,1) etc.

The function p(x) is:

p(x)=mx+C

Whereby (m) is the slope and (C) is a constant.

m=-4/3, as m=tan(ω)=O/A=-4/3 as slope is negative.

Now when y=-3, x=-3.

So:

-3=-4/3 *(-3) +C

-3= 4 + C

C=-7

This means that:

p(x)=-4/3x -7

Now, where p(x)=g(x), x=-6.

p(-6)=-4/3 * (-6) -7

p(-6)=24/3 -7

p(-6)=8-7

p(-6)=1

Therefore:

p(x) and g(x) meet at (-6, 1) and the solution to p(x)=g(x) is x=-6.

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?a.–1.5

b.–0.5

c.0.5

d.1.5

Answers

Let consider time on x-axis and temperature ony-axis.

The x-axis starts from “0” corresponds to “8 a.m”.Thus after 4 hours, the time will be “12pm”. So we have two values on x-axis,one is “0” and another “4”.

For x = 0, or time value = 8am, the temperature value= y-axis value = -2

For x = 4, or time value = 12pm, the temperaturevalue = y-axis value = 4

Thus we got two points (0,-2) and (4,4).

Now using slope formula = (y2 –y1) / (x2 –x1)

Slope = (4-(-2)) / (4 -0) = 6/4 = 1.5

Answer:

1.5 or D on degenuityy

Step-by-step explanation:

4.27 as a improper fraction

Answers

Well as a high school-er this should be easy. Divide 4.27 and get an fraction of 47/11.

What is 4 2/7 * 2 1/5 Express the answer in simplest form.

Answers

4(2)/(7)\cdot2(1)/(5)=(4\cdot7+2)/(7)\cdot(2\cdot5+1)/(5)=(30)/(7)\cdot(11)/(5)=(30:5)/(7)\cdot(11)/(5:5)=(6)/(7)\cdot(11)/(1)\n\n=(6\cdot11)/(7\cdot1)=(66)/(7)=\boxed{9(3)/(7)}
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