Five more than the product of x and 6

Find the coordinates of the fourth vertex that completes the construction of the rectangle on the coordinate plan

SOVA2 [1]

The coordinates of the fourth vertex are (2, -4).

Step-by-step explanation:

Step 1:

The opposite sides of a triangle are always equal.

First, we plot the three given points of the rectangle.

Assume the top left corner is A, the top right corner is B, the bottom left corner is C and the bottom right corner is D.

We need to determine the coordinates of point D.

Step 2:

The coordinates of the given three points are

A (-2, 5), B (2, 5), and C (-2, -4).

A and C are the same side i.e. the left side, they have the same x coordinate of -2.

So B and D will have the same x coordinate of 2.

A and B are on the same side too i.e. the top side so they both have the same y coordinate of 5.

The points C and D are two ends of the bottom side so they must have the same y coordinate of -4.

So the coordinates of the fourth vertex are (2, -4).

4 0

3 years ago

43 divided by 982 with remainder

Marina CMI [18]

The answer to this question is 22.83 but if you want it rounded its 22.84

4 0

3 years ago

Assuming that the sample mean carapace length is greater than 3.39 inches, what is the probability that the sample mean carapace

joja [24]

Answer:

The answer is "".

Step-by-step explanation:

Please find the complete question in the attached file.

We select a sample size n from the confidence interval with the mean $\mu$ and default $\sigma$ , then the mean take seriously given as the straight line with a z score given by the confidence interval

$\mu=3.87\\\\\sigma=2.01\\\\n=110\\\\$

Using formula:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

The probability that perhaps the mean shells length of the sample is over 4.03 pounds is

$P(X>4.03)=P(z>\frac{4.03-3.87}{\frac{2.01}{\sqrt{110}}})=P(z>0.8349)$

Now, we utilize z to get the likelihood, and we use the Excel function for a more exact distribution

$=\textup{NORM.S.DIST(0.8349,TRUE)}\\\\P(z$

the required probability: $P(z>0.8349)=1-P(z$

4 0

2 years ago

Kylie is shopping at the mall. She buys a pack of water balloons for $3. She also buys seven t-shirts, each marked at the same p

VMariaS [17]

Answer:

b 3x +7y =59

Step-by-step explanation:

x is water balloons at 3 each and y is t-shirts at 7$ each.

7 0

3 years ago

If a = 12 and 120% of a is equal to 80\% of bthen what is a + b ?

Novosadov [1.4K]

Answer:

The answer is 30

Step-by-step explanation:

First you have to find 120% of a (12).

$\frac{12}{1} \times \frac{120}{100} = 14.4$

Therefore; 14.4 is 80% of b, and we are trying to find 100% of b

$14.4 = 80\% \\ x = 100\%$

we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.

$14.4 \times 100\% = 80\% \times x$

This is the same as saying;

$14.4 \times 1 = x \times \frac{4}{5}$

100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).

so the new equation is: 14.4= 4/5x

We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so. 18+12 = 30

4 0

2 years ago