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katrin2010 [14]
3 years ago
5

Which equation would best help solve the following problem? The height of a triangle is 5 m less than its base. The area of the

triangle is 42 m2. Find the length of the base.
Mathematics
2 answers:
MissTica3 years ago
6 0
You would do 
42=1/2*b*h
you would plug in what you know which is h=5
then you is multiply .5 by 5
which would be 2.5 then you would divide it on both sides of the equal side 
42=2.5*b
which then b would stand alone and 42/2.5 is 16.8 which would equal b so your base is 16.8m^2 
dmitriy555 [2]3 years ago
4 0

Answer with Step-by-step explanation:

Let b be the length of the base

The height of a triangle is 5 m less than its base.

i.e. height= b-5

The area of the triangle is 42 m².

We know that the area of triangle is given by:

\dfrac{1}{2}\times Base\times Height

Here, \dfrac{1}{2}\times b\times (b-5)=42

Multiplying by 2 on both sides, we get

b(b-5)=84

b²-5b-84=0

b²-12b+7b-84=0

b(b-12)+7(b-12)=0

(b+7)(b-12)=0

either b+7=0 or b-12=0

either b= -7 or b=12

b can't be negative so, b=12

Hence, Length of base is:

12 m

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slamgirl [31]

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y=2(-4)+2=-6

y=2(-2)+2=-2

y=2(0)+2=2

y=2(1)+2=4

y=2(3)+2=8

These follow the equation's rule so it is correct.

Two plot the values of x and y you need to put it in (x,y) then plot it. Then you can check it by using the equation, y=mx+b, the b is the y intercept, so check to see if it starts there, and then check and see if it followings the slope

(-4, -6), (-2, -2), (0, 2), (1, 4), (3, 8)

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

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8 0
2 years ago
Plz help fast will mark the brainiest!!!
Kobotan [32]

Answer:

1.5 x 10^0

Step-by-step explanation:

3 0
2 years ago
The number is three digits, the number is even, the tens digit is half the hundreds digit, the sum of the digit is 14 what is th
ser-zykov [4K]

Let x represent the digit in the hundreds place, y represent the digit in the tens place, and z represent the digit in the ones place. What do we know about each digit?

x: twice y (2, 4, 6, or 8)

y: half of x (1, 2, 3, or 4)

z: an even number (0, 2, 4, 6, or 8).

The sume of the digits is 14. So, x + y + z = 14

Choose one of the digits and look at your options (if any).

when x=2, then y = 1, which means z has to be 11 (NOT VALID)

when x=4, then y = 2, which means z has to be 8 (428 works!)

For fun, let's see if any other numbers work:

when x=6, then y = 3, which means z has to be 5 (NOT VALID)

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Answer: 428 and 842 both work



5 0
3 years ago
Solve the following equation <br> T/4 +7 =2.
Sindrei [870]

Answer:

T=-20

Step-by-step explanation:

first get rid of the 7

1. T/4=-5

then multiply by 4 to isolate T

2. T=-20

4 0
3 years ago
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If 3x + 8x + 4x = 6x + 63, then what is 5x + 23?
klio [65]
<span>3x + 8x + 4x = 6x + 63
15x = 6x + 63
9x = 63
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so
5x+ 23 =5(7) + 23 = 35+23 = 58</span>
7 0
3 years ago
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