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Levart [38]
3 years ago
7

Number 15 How do you solve it?

Mathematics
2 answers:
Nataly [62]3 years ago
7 0
Question 15 -

SOLUTION:

Let's establish the formula for the gradient / slope of a line as follows:

Slope = ( y2 - y1 ) / ( x2 - x1 )

Now we will simply substitute the values from the problem into the gradient / slope formula in order to obtain the value of ( y ).

x1 = 5

x2 = - 7

y1 = 2

y2 = y = ?

Slope = ( y2 - y1 ) / ( x2 - x1 )

5 / 6 = [ ( y ) - ( 2 ) ] / [ ( 5 ) - ( - 7 ) ]

5 / 6 = ( y - 2 ) / ( 5 + 7 )

5 / 6 = ( y - 2 ) / 12

( y - 2 ) / 12 = 5 / 6

y - 2 = ( 5 / 6 ) × 12

y - 2 = 60 / 6

y - 2 = 10

y = 10 + 2

y = 12

FINAL ANSWER:

Therefore, the answer is:

y = 12

Hope this helps! :)
Have a lovely day! <3
balandron [24]3 years ago
6 0
Y=12 hope this is helpful
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3 years ago
1) Alice is a truck driver who drives the same route every day for 5 days. On the
s2008m [1.1K]

Answer:

Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.

Step-by-step explanation:

First, we need to <em>divide</em> 927.8 miles by 5.

927.8 ÷ 5 = 185.56 is her daily mileage, including the detour.

Since her detour <em>added </em>17.3 miles to her <em>daily mileage</em>, we need to <em>subtract </em>this from her current daily mileage.

185.56 - 17.3 = 168.26 is her daily mileage when there is no detour.

Now, in order to find her mileage for 5 days, we need to <em>multiply</em> this number by 5.

168.26 x 5 = 841.3

Therefore, Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.

6 0
3 years ago
4x+y=10 complete the missing value in the solution to the equation. ( __, -6)
allochka39001 [22]

Answer: 4

Step-by-step explanation:

4x+y=10

4x+(-6)=10

4x-6=10

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6 0
3 years ago
Use the model to solve for x. A) x = 2 B) x = 4 C) x = 8 D) x = 12
____ [38]

Answer:

A) x = 2

Step-by-step explanation:

I am not sure but I think this means...

2x + 5 = 3x - 3

5 = 3x - 3 + 2x

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5 0
2 years ago
A rectangle deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq.ft By ho
Reika [66]
X= increased amount
L= length
W= width

The area formula is Area= L * W. Since length and width are increased, we need to increase each before adding them to the formula.

L= 12 + x
W= 14 + x

L * W= Area
(12 + x) (14 + x)= 288
multiply each parentheses

(12*14) + (12*x) + (x*14) + (x*x) = 288
168 + 12x + 14x + x^2= 288

x^2 + 26x + 168= 288
subtract 288 from both sides

x^2 + 26x - 120= 0
factor with two numbers that add to 26 and multiply to -120

(x - 4) (x + 30)= 0
set each number equal to zero

x - 4= 0
x= 4

x + 30= 0
x= -30


ANSWER: Length and width are both increased by 4 feet. -30 cannot be a solution because it is negative and we know the answer has to be a positive number.

Hope this helps! :)
5 0
3 years ago
Read 2 more answers
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