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densk [106]
3 years ago
5

How many square units are in the area of the triangle whose vertices are the x and y intercepts of the curve y = (x-3)^2 (x+2)?

Mathematics
1 answer:
pantera1 [17]3 years ago
6 0

The intercepts can be read from the equation as (-2, 0), (0, 18), (3, 0). These define a triangle with a base of 5 and an altitude of 18, so the area is

... A = (1/2)·5·18 = 45 . . . . square units


_____

The x-intercepts are those values of x that make one or another of the factors be zero. (x-3) is zero when x=3; (x+2) is zero when x=-2.

The y-intercept is the value when x=0. That is (-3)²·(2) = 9·2 = 18.

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Junior's brother is 1 1/2
AlladinOne [14]

Answer:

Step-by-step explanation:

1 1/5 of 1 1/2 meters  

= (1+1/5) x (1+1/2)  

= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2  

= 1 + 1/2 + 1/5 + 1/10  

= 1 + (1x5+1x2+1)/10  

= 1 8/10  

= 1 4/5 meters

6 0
3 years ago
If a right triangle has a hypotenuse of length 20 units and one leg of length 16 units, find the length of the other leg. A. 12
xxTIMURxx [149]

Answer:

12

Step-by-step explanation:

Use the Pythagorean theorem which is a^2 + b^2 = c^2

c is hypotenuse and a and b are the legs

we need to find a^2 so

a^2 + 16^2 = 20^2

a^22 + 256 = 400

then subtract 256 from 400

a^2 = 144

square root 144

= 12

5 0
2 years ago
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A share of stock dropped 6 points on Tuesday. On Wensday, the same stock gained 3 points. What was the total loss for the two da
Bogdan [553]
The answer is three (3)
3 0
3 years ago
PLZ HELP!<br><br> Complete this proof. <br> Given: a | | b <br> Prove: ΔMOP ~ ΔRON
SashulF [63]
As shown in the given figure
line a // line b ⇒ given
MR  and  NP  are transversals 
So, for ΔMOP and ΔRON , we can conclude the following
(1)  ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent
(2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent
(3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent

So, from 1,2 and 3
∴  ΔMOP <span>~ </span>ΔRON  by  AAA-Rule

6 0
3 years ago
I will mark brainliest ,thank, and rate to to the best answer!Please help! ASAP
Over [174]

Answer:

1st, 3rd, and 6th

Step-by-step explanation:

Let's look at each statment...

1.) Correct

Explanation: 10 percent of the students at the school participate in soccer. If 140 is 10% of the number of students at the school, there is more than 140 students at this school.

2.) Incorrect

Explanation: We've already established that the # of students at the school is <u>more</u> than 140.

3.) Correct

Explanation: 10% as a decimal is 0.1 Divide 140 by 0.1 and you get 1,400. So, the total number of students is 1,400.

4.) Incorrect

Explanation: We've already established that the number of students is 1,400, not 290.

5.) Incorrect

Explanation: We've already established that the number of students is 1,400, not 150.

6.) Incorrect

Explanation: If the percent was a ratio, it would be 10:100 or 10/100. This is because a whole percent is 100% and the percent of students who play soccer is 10%.

7.) Correct

Explanation: We've already established that the ratio would be 10:100 or 10/100. Thus, this is correct.

I hope this helps! :)

3 0
2 years ago
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