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3 years ago

There are 43 pine trees currently in the park. Park workers will plant more pine trees

Mathematics

1 answer:

Luden [163]3 years ago

8 0

Answer:

20 pine trees

Step-by-step explanation:

No of pine trees today = 63

No of pine trees there = 43

So no of pine trees planted today= 63-43= 20

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If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?

Keith_Richards [23]

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

$BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7$

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

3 0

3 years ago

Divide. -24 divided by 7 Enter your question as a mixed number, in simplified form, in the box. Please hurry! Thank you :D

coldgirl [10]

Answer:

-3 1/7

Step-by-step explanation:

3 0

3 years ago

What is the factored form of the expression?<br><br> d^2 = 36d + 324

Aleonysh [2.5K]

Answer:

(x-43.45)(x+7.45)=0.

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

Now, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

So, from the given equation, we have,

a = 1, b =-36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and i.e. $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and i.e. $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Hence, the factored form of the given expression will be (x-43.45)(x+7.45)=0.

4 0

3 years ago

Three inches of snow fell on Monday and 5 inches fell on Wednesday. Which number is the additive inverse of the amount of snow t

Yuliya22 [10]

Well you had x inches of snow in the beginning so
after monday it was
x+3
after wednesday
x+3+5=x+8
so the invers is the value that you use to get back to x
so if you now have x+8 than the inverse is -8

7 0

3 years ago

Find f(12) = 3/4 x + 2

AlekseyPX

Answer:

f(12) = 11

Step-by-step explanation:

To solve this question:

Substitute x = 12 into the equation: f(12) = 3/4 (12) + 2
Simplify: 3/4 × 12 = 36/4 which is 9 → f(12) = 9 + 2

f(12) = 11

Hope this helps!

5 0

3 years ago

Read 2 more answers