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serg [7]
3 years ago
7

P is the midpoint of DE¯¯¯¯¯DE¯ , DP=3x+2DP=3x+2, and DE=10x−12DE=10x−12. What is the length of DP¯¯¯¯¯DP¯ ?

Mathematics
2 answers:
miss Akunina [59]3 years ago
5 0
3x+2 mulitiply by 2. you will get 6x+4 now put 10x-12 like so 6x+4=10x-12. then use like terms and subtract 6x from 10x. you will get 4x-12=4. then add 12 to cancel out then divide 16 by 4 and then x=4 then plug in 4 to replace x in 3x+2.
The answer is 14

Ne4ueva [31]3 years ago
3 0

Answer:

14 units

Step-by-step explanation:

done the topic

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The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuiti
emmainna [20.7K]

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

4 0
3 years ago
Read 2 more answers
WILL GIVE A CROWN OR WHATEVER ITS CALLED HELP ME ALSO WITH SPECIFIC ANSWERS SPLEASE
Mandarinka [93]

Answer:

width= 6

Step-by-step explanation:

equation: 50=2(2w-5)+ 2w     w= width

50=6w-10

60=6w

w=6

7 0
3 years ago
A(-2,3)
Anika [276]

Answer:

The perimeter of triangle is 19.8 units

Step-by-step explanation:

we know that

The perimeter of triangle ABC is

P=AB+BC+AC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

we have

A(-2,3),B(3,0)

substitute in the formula

d=\sqrt{(0-3)^{2}+(3+2)^{2}}

d=\sqrt{(-3)^{2}+(5)^{2}}

d_A_B=\sqrt{34}\ units

step 2

Find the distance BC

we have

B(3,0),C (-4,-3)

substitute in the formula

d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}

d=\sqrt{(-3)^{2}+(-7)^{2}}

d_B_C=\sqrt{58}\ units

step 3

Find the distance AC

we have

A(-2,3),C (-4,-3)

substitute in the formula

d=\sqrt{(-3-3)^{2}+(-4+2)^{2}}

d=\sqrt{(-6)^{2}+(-2)^{2}}

d_A_C=\sqrt{40}\ units

step 4

Find the perimeter

P=AB+BC+AC

substitute the values

P=\sqrt{34}+\sqrt{58}+\sqrt{40}

P=19.8\ units

4 0
3 years ago
If x + 9.8 = 14.7, what is the value of 8(x - 3.7)?
Scrat [10]
Find the value of x
x+9.8=14.7
x=4.9
Then plug it in the second equation
8(4.9-3.7)
8(1.2)
9.6
Hope this helps.
5 0
3 years ago
Read 2 more answers
What is the slope of the line through (2,5) and (-1,2)?
Luden [163]

Answer:

The slope of the line is m = 1

Step-by-step explanation:

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m = y2-y1 / x2-x1

m = 2 - 5 / -1 - 2

m = -3 / -3

m = 1

X1 is 2

Y1 is 5

X2 is -1

Y2 is 2

6 0
3 years ago
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