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2 years ago

Does (-10, -24) make the equation y=-10 true?

Mathematics

1 answer:

Alisiya [41]2 years ago

3 0

Answer and Step-by-step explanation:

No, this equation is not true. If you were to put these coordinates on a graph, or even if you didn't, the plot points (-10, -24) would look like this:

(x, y), or in this case (-x, -y).

The point -10 is the x-coordinate for this problem, and the -24 is the y-coordinate. The question is basically asking if the y-coordinate is -10. It is not, so this equation is not true.

I hope that this helps.

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Find the length of QP given Q is the midpoint of XF, PQ =2X+1, XF=7X-4, PF=X

nadezda [96]

Answer:

Therefore the length of QP = 3.4 units

Step-by-step explanation:

Given:

PQ = 2x + 1

XF = 7x - 4

PF = x

Q is the mid poimt of XF

∴ XQ = QF

QF = PQ - PF ..........( Q - F - P )

= 2x + 1 - x

∴ QF = x + 1

∴ XQ = QF = x + 1

TO Find:

QP = ?

Solution:

By Addition Property we have

$XP = XQ + QF+PF ..........(X-Q-F-P)\\\\$

$XF + PF =XQ + QF+PF ..........(X-Q-F-P)\\$

Substituting the given values in above equation we get

(7x - 4) + x = (x +1) + (x +1) + x

8x -4 = 3x +2

8x - 3x + 4 + 2

5x = 6

∴ $x = \frac{6}{5}$

Now we require

QP = (2x + 1)

∴ $QP = 2\times \frac{6}{5} +1\\\\QP = \frac{12+5}{5} \\\\QP =\frac{17}{5} \\\\\therefore QP = 3.4\ unit$

Therefore the length of QP = 3.4 units

3 0

3 years ago

What’s the slope of 7x +3y=12

Y_Kistochka [10]

Answer:it is 34

And that's it

5 0

3 years ago

How to know if a fraction is proportional

Murrr4er [49]

You can tell if two fractions are proportional by cross multiplying the fractions. If the fractions are equivalent, then they are proportional. If they are not equivalent, they are not proportional.

8 0

3 years ago

Read 2 more answers

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them with reposition, because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

$P(D = 0) = (1-0.06)^{13} = 0.447$
$P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371$

We conclude that

$P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818$

Hence, the shipment will be accepted with probability 0.818

I hope this helps you!

6 0

3 years ago

Whats 1 and 2/3 + 1 and 5/6

Dima020 [189]

1 2/3 + 1 5/6

We’ll start by converting the 2/3 to 6ths so we have a common denominator.

Look at the denominator first. 3 x 2 is 6, so we need to multiply the numerator by 2 as well. 2/3 = 4/6.

So we have 1 4/6 + 1 5/6 = 2 9/6
But you know they’ll want you to reduce that so it’s 3 3/6...or 3 1/2.

Let me know where you have questions.

7 0

3 years ago

Read 2 more answers