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andrey2020 [161]
2 years ago
11

Evaluate the expression for x = 3 and y =7. 4x + 3y - 32 =

Mathematics
1 answer:
SpyIntel [72]2 years ago
4 0
The answer is 1
4(3)+3(7)-32=1
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In △ABC, P∈ AC so that AP:PC=3:2. If ABPC=14m2. Find AABP and AABC.
GalinKa [24]

Caution

I just finished doing this exact same problem. In nearly 4000 answers, I don't think that's ever happened. It's a great problem. Study it carefully but make sure you handle with care. Most area questions don't work this way.

Remark:

This problem will puzzle you greatly until you look at the diagram carefully.

Draw the diagram so that AC is on the horizontal and make it the longest line. This problem does not require that you have an accurate diagram.

Eyeball P so that it looks like it divides AC in such a way that PC is 2 units and AP is about 3 units. From B draw a line that is Perpendicular to AC. It shouldn't meet P otherwise you will get confused. Where the line from B hits AC label that point D. BD is perpendicular to AC.

What you need to know

BD is the height of both triangles. What does that mean? In practical terms it means that you can call the ratio of the areas 3/2

Ratio

Triangle ABP: Triangle BPC = x/14


3:2 = x:14         Change to a proportion

3/2 = x/14         Cross multiply

3*14 = 2x          Combine

42 = 2x             Divide by 2

42/2 = x            Divide

21 = x

Conclusion One

The area of ABP = 21 square units.


Conclusion Two

Area ABC = Area ABP + Area CBP

Area ABC = 21 + 14 = 35


Nice problem. Be careful how you treat it. Usually these kind of ratio problems don't work this way.

5 0
3 years ago
Write the equation in slope-intercept form y−6=−2/5(x−10)
stellarik [79]

Answer: y = -2/5x + 10

Step-by-step explanation:

y − 6 = − 2/5 (x − 10)

do distributive property

y - 6 = -2/5x + 4

add six to both sides

y = -2/5x + 10

boom the answer :v

5 0
2 years ago
The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Pa
Thepotemich [5.8K]
<span>Part A:

a) What do the x-intercepts and maximum value of the graph represent?

The x-intercepts are the distances at which the ball is on the ground.

First, at x = 0, that is when the ball is kicked; second, at x = 30, when the ball falls (return) to the ground.

b) What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points)

The function is increasing in the interval (0, 15) and is decreasing in the interval (15,30)

The increasing interval (0,15) is the horizontal distance from the point the the ball was kicked until it reached its highest altitude, this is where the ball was going upward.

The decreasing interval (15,30) is the horizontal distance from the point where the ball reached its highest altitude until it landed on the ground, this is where the ball was falling down.

Part B: What is an approximate average rate of change of the graph from x = 22 to x = 26, and what does this rate represent 

On the graph you can read that at x = 22, f(x) ≈ 12, and at x = 26 f(x) ≈ 7.

So, an approximate rate of change from x = 22 to x = 26 is given by the equation below:

                                            change on f(x)        7 - 12
average rate of change = --------------------- =    ----------- = -5/4
                                            change of x           26 - 22

That rate represents that the ball fell about 5 ft per 4 ft in that interval.
</span>
5 0
2 years ago
Read 2 more answers
Determine whether n^2+20n+100 is a perfect square trinomial.<br><br> Yes<br><br> No
Black_prince [1.1K]
N²+20n+100 = (n+10)(n+10)
Yes is it a perfect square trinomial
7 0
3 years ago
Determine the value of x<br> 2.12 units<br> 2.02 units<br> 12.38 units<br> 0.49 units
Olin [163]
I believe the answer is 2.02
8 0
3 years ago
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