All categories

2 years ago

Hitung jarak di antara titik P(7, 1) dengan titik Q(7, 8)

Mathematics

1 answer:

MaRussiya [10]2 years ago

5 0

Answer:

7 units

Step-by-step explanation:

Distance between 2 points

= $\sqrt{(y1 - y2)^{2} + (x1 - x2) {}^{2} }$

Thus, distance PQ

$=\sqrt{(8 - 1)^{2} + (7 - 7)^{2} } \\ = \sqrt{7^{2} } \\ = 7$

Or you could simply take 8-1= 7 since both points have the same x-coordinate. Thus, PQ is a vertical line and the distance between them is due to the difference in their y-coordinate.

You might be interested in

Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn and rode 3 miles to the local swimming pool. I

11Alexandr11 [23.1K]

Answer:

1.8 miles

Step-by-step explanation:

For this case we can model the problem as a rectangle triangle.

We know:

Length of the sides of the triangle

We want to know:

Length of the hypotenuse

Using the Pythagorean theorem we have:

$d=\sqrt{3^{2} +3^{2} }\\d = \sqrt{2(3^2)} \\d = 3\sqrt{2} \\d = 4.2 miles$

Then, the distance that he would have saved if he travels directly is:

$3 + 3 - 4.2 = 1.8 miles$

Answer:

he would have saved:

1.8 miles

3 0

2 years ago

Read 2 more answers

A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet. What is the volume of the prism?

maksim [4K]

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}:$ It is the area of the base

h: It's the height

According to the data we have:

$length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}$

$width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}$

Then:

$A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}$

Thus, the volume is:

$V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875$

Answer:

$76.875 \ ft ^ 3$

6 0

2 years ago

a 12 foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. find th

aleksandr82 [10.1K]

Use the equation
12= 3+2x

8 0

3 years ago

I need help please and thank you

mrs_skeptik [129]

A triangle is 180 so 180-110=70 and 70 divided by 2 is 35 so the other two angles are 35 degrees

8 0

2 years ago

How the heck do I do this? And what’s the answer?

stira [4]

Answer:

Option A

Step-by-step explanation:

We need to find two expressions that, when simplified, give the same results.

1) First, simplify the expression stated in the question. Multiply each of the terms in the parentheses by the number that is next to them. This would mean you have to multiply both 9x and -6 by $\frac{2}{3}$ . You also have to multiply $\frac{1}{2}x$ and $-\frac{1}{2}$ by 4. Then, simplify.

$\frac{2}{3}(9x-6) + 4 (\frac{1}{2} x - \frac{1}{2})\\\frac{18}{3}x- \frac{12}{3} + \frac{4}{2}x -\frac{4}{2} \\6x - 4 + 2x - 2$

2) Now, combine the like terms.

$6x - 4 + 2x - 2$

$8x - 6$

So, we need to find which of the expressions listed equal 8x - 6.

3) Let's try option A. Do the same as before. Multiply each of the terms in the parentheses by the number that is next to them. So, multiply 4x and -12 by $\frac{3}{4}$ . Also, multiply 30x and 18 by $\frac{1}{6}$ . Then, combine like terms and simplify.

$\frac{3}{4} (4x-12) + \frac{1}{6}(30x + 18)\\\frac{12}{4}x-\frac{36}{4} + \frac{30}{6} x + \frac{18}{6} \\3x - 9 + 5x + 3 \\8x - 6$

This also equals 8x - 6. Therefore, option A is the answer.

5 0

2 years ago

Hitung jarak di antara titik P(7, 1) dengan titik Q(7, 8) ​

Hitung jarak di antara titik P(7, 1) dengan titik Q(7, 8)