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Volgvan
3 years ago
14

(t + 4)(t + 7) = 54 Find the answer using the zero property

Mathematics
1 answer:
grandymaker [24]3 years ago
5 0

Step-by-step explanation:

(t+4)(t+7)-54=0

t²+7t+4t+28-54=0

t²+11t-26=0

(t-2)(t+13)=0

t-2=0

t=2

t+13=0

t=-13

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CAN SOMEONE EXPLAIN HOW TO DO THIS PLEASE WITH THE ANSWER 20 POINTS!!!
crimeas [40]

Step-by-step explanation:

First of all we need to know how odometer works. The change in odometer means the distance you have travelled.

Therefore:

112773-112352

=421 miles

Average, meaning you take the distance travelled divided by the gallons of gas used.

421/16

=26.3125

round up

≈26

5 0
3 years ago
The longer leg of a right triangle is 1 m longer than the shorter leg. The hypotenuse is 9 m longer than the shorter leg. Find t
Rudiy27

Answer:

Correct answer:  c = 29 m, a = 21 m  and b = 20 m

Step-by-step explanation:

Given:

a = b + 1  longer leg a

c = b + 9 hypotenuse c

To solve this problem, we will use Pythagoras' theorem

c² = a² + b²

(b + 9)² = (b + 1)² + b²  

b² + 18 b + 81 = b² + 2 b + 1 + b²

2 b² - b² + 2 b - 18 b + 1 - 81 = 0

b² - 16 b - 80 = 0  we will factorize this equation

⇒ b² - 20 b + 4 b - 80 = b (b - 20) + 4 ( b - 20) = (b - 20) · (b + 4) = 0

(b - 20) · (b + 4) = 0 ⇒ b = 20  or b = - 4  false

we accepted b = 20 m

c = b + 9 = 20 + 9 = 29 m

c = 29 m

a = b + 1 = 20 + 1 = 21 m

a = 21 m

God is with you!!!

5 0
3 years ago
How far is the planets is away from the sun
Harlamova29_29 [7]
Earth is 92.96 million
Mars is 141.6 million
Venus is 67.24 million
Jupiter is 483.8 million
Mercury is 35.98 million
Neptune is 2.795 billion
Saturn is 888.2 million
Uranus is 1.787 billion
 

8 0
3 years ago
Which of the following is the standard form of the equation 5x2 - 20x = 15?
Sophie [7]
It is C. The first part is raised to the 2nd power. so it goes first since that is the highest. then the -20x because variables are understood to the power of 1, while normal numbers are understood to the power of 0. so the order is highest to lowest (2,1,0)
4 0
3 years ago
Read 2 more answers
Jewel is 7 years old and John is 16 years younger than Dave. One year ago, Dvae's age was twice the sum of Jewel's and John's ag
ivanzaharov [21]

Answer:

Jewel is 7 years old

John is 1 year old

Dave is 17 years old

Step-by-step explanation:

From the question we are told that:

Jewel age is J=7 years

John age J'=(D-16)years

Dave's age a Year ago

 D-1=2(J-1+J'-1)

So that Dave.s age this Year could be

 D=2((J-1)+(J'-1))+1

Simplifying Equation for Dave's age we have

 D=2((7)-1+(D-16)-1)+1

 D=2(6+D-15)+1

 D=2(D-9)+1

 D=2D-18+1

 D=17 Years

Dave is 17 years old

Therefore

Johns age is

 J'=(D-16)

 J'=17-16

 J'=1year old

John is 1 year old

7 0
3 years ago
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