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iren [92.7K]
2 years ago
7

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

Mathematics
2 answers:
egoroff_w [7]2 years ago
7 0

Answer:

14 units

Step-by-step explanation:

done the topic

g100num [7]2 years ago
3 0
Notice the picture
we know DE, or the whole segment is 10x-12
and P is the midpoint
so.. the point P is cutting DE in two equal halves,
namely, DP and PE
so... whatever 10x-12 is, DP is half of that
thus
\bf DP=\cfrac{DE}{2}\implies 3x+2=\cfrac{10x-12}{2}

solve for "x",

how long is DP? well, once you get "x", plug it in 3x+2,
that's how long DP is :)

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Answer:

y =  - 5

Step-by-step explanation:

- 5(y - 3) - 10 =  - 6y

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➡️ y =  - 5

7 0
2 years ago
A culture started with 2000 bacteria. After 4 hours, it grew to 2,200 bacteria. Predict how many bacteria will represent after 9
S_A_V [24]
Y=2000*e^{k*t}

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e^{k}= ( \frac{22}{20} )^{(1/4)}<span>

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4 0
3 years ago
Solve for X<br>-2x-4=-4x+3​
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Answer:

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x

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x

−

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3

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3 0
3 years ago
Read 2 more answers
Determine coefficients a and b such that p(x)=x2 ax b satisfies p(1)=5 and p′(1)=11.
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Given that p'(1)=11, you have

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p(1)=1+9+b=5\implies b=-5

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p(x)=x^2+9x-5
4 0
3 years ago
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