Using the diagram below, determine the value of x, y, and z.

lyudmila [28]

${x}^{2} - 12x + 59 = 0 \\ {x}^{2} - 12x + 36 + 23 = 0 \\ {x}^{2} - 12x + 36 = - 23 \\ {(x - 6)}^{2} = - 23 \\ x - 6 = + - \sqrt{ - 23} = + - i \sqrt{23} \\ x = 6 + - i \sqrt{23}$

mean

$x = 6 + i \sqrt{23}$

or

$x = 6 - i \sqrt{23}$

7 0

3 years ago

Read 2 more answers

1/10 of the M&M s in a bag are red and 1/5 are blue . What fraction of all the M&M s are red and blue?

dem82 [27]

I believe it 9/20
hope that helped!!!
:)
if its not give the multiple answer choice if it has one!

8 0

3 years ago

Emma is carpeting 2 perfectly square rooms.

ivolga24 [154]

She's wrong. If you have two squares, $S_1$ with side $s_1$ and $S_2$ with side $s_2$ , it's not true that the sum of their areas is equivalent to the area of a square $S_3$ with side $s_3=s_1+s_2$ .

So, there's no point in summing the two sides. Instead, you have to compute the areas of the two squares and then sum them up.

So, the area of the first square is $2.7^2$ , and the area of the second square is $3.3^2$ .

Add these two numbers and you'll get how many squared meters of carpet she'll need.

6 0

3 years ago

Find the probability of each event. A gambler places a bet on a horse race. To win, he must pick the top three finishers in any

Lina20 [59]

Answer: $\dfrac{1}{56}$

Step-by-step explanation:

Total horses = 6

Number of ways to choose top 3 finishers in order = 3! = 6

Number ways to select 3 horses out of 8 in order = $^8P_3$ [By permutations]

$=\dfrac{8!}{(8-3)!}=\dfrac{8!}{5!}=8\times7\times6=336$

Now, the probability that the gambler will win his bet =

$\dfrac{\text{Number of ways to choose top 3 finishers }}{\text{Number ways to select 3 horses out of 8 in order}}$

$=\dfrac{6}{336}\\\\=\dfrac{1}{56}$

Hence, the required probability = $\dfrac{1}{56}$

3 0

3 years ago

Can someone explain number five??

vazorg [7]

Remark

You have 40 dollars to spend.

AT & T

Let the number of minutes = M

A. 20 + 0.10*M ≤ 40

B. 20 + 0.10*M ≤ 40 Subtract 20 from both sides.

20 - 20 + 0.10M ≤ 40 - 20

0.10M ≤ 20 Divide by 0.10

0.10M/0.10 ≤20/0.10

M≤ 200 minutes.

Verizon

A

15 + ( M ≥ 300)*0.50 ≤ 40

B

15 + ( M ≥ 300)*0.50 ≤ 40 Subtract 15 from both sides.

(M≥300)*0.50 ≤ 25

(M≥300) ≤ 50 minutes.

This last one is a good deal more complicated. What it means is that if you are under 300 minutes, you pay only 15 dollars. If you are over 300 minutes, you can only go 50 more minutes before over extend your budget.

Part C

These are alike in that they have a flat rate associated with them and both have a budgeted amount that has to be obeyed.

They are quite different in what they offer. The second plan is for people who use their cell phone quite a bit. For people like us (emergency only), the first plan is much better. We would always be within our 40 dollar limit. We don't use our cell but maybe 10 - 15 minutes a month on average.

Part D

I can't answer this for you. It depends on where you live and who offers you the best coverage. I would pick the first one, but that doesn't mean that it would be best for you.

5 0

3 years ago