1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Agata [3.3K]
2 years ago
13

8. What is the equation of the line that contains (2, 3) and is perpendicular to the line y = 2x + 3?

Mathematics
1 answer:
bazaltina [42]2 years ago
4 0

Hi there! :)

\large\boxed{C.)\text{ } y = -1/2x + 4}

Given equation:

y = 2x + 3

A perpendicular line would have a slope of the negative reciprocal, therefore:

2x --> -1/2x

Use the equation y = mx + b to plug in the given point values along with the slope to solve for the final equation:

3 = -1/2(2) + b

3 = -1 + b

3 + 1 = b

b = 4

Therefore, the final equation is:

y = -1/2x + 4

The correct answer choice is C, y = -1/2x + 4.

You might be interested in
Lyle bought 3/8 pound of red grapes and 5/12 of green grapes. How many pounds of grapes did he buy ?
STatiana [176]
He bought 19/24 pounds of grapes.
You need to find the common denominators then add.

3/8 = 9/24 - Red grapes
5/12 = 10/24 - Green grapes

10/24 + 9/24 = 19/24.
Therefore, he bought 19/24 pounds of grapes.
Hope this helped! :-)
6 0
3 years ago
- Todd uses 21 white tiles and some black tiles to make a mosaic. The mosaic has a total area of ​​144 square centimeters. Each
Anna71 [15]

Answer:

48

Step-by-step explanation:

21 white tiles = 63 cm2

total number is 144

144-63 = 81

81/3 = 27

so 27 black tiles

21+27 = 48 total.

5 0
2 years ago
Read 2 more answers
NEED HELP WORTH 100 POINTS SHOW YOUR WORK PLEASE
tia_tia [17]

Answer:

Q1:

-5\sqrt{27c^2}

-5\sqrt{27}\sqrt{c^2}

-5\times\sqrt{9} \sqrt{3} \sqrt{c^2}

-5\times3\sqrt{3}\sqrt{c^2}

-5\times3\sqrt{3}c

-15\sqrt{3}c

Q2:

5\sqrt{72}-3\sqrt{32}

5\sqrt{36} \sqrt{2} -3\sqrt{16} \sqrt{2}

5\times6\sqrt{2}-3\times4\sqrt{2}

30\sqrt{2}-12\sqrt{2}

18\sqrt{2}

Q3:

\sqrt{108yz}+3\sqrt{98yz}+2\sqrt{75yz}

\sqrt{36} \sqrt{3} \sqrt{yz} +3\sqrt{49} \sqrt{2} \sqrt{yz} +2\sqrt{25} \sqrt{3} \sqrt{yz}

6\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}+10\sqrt{3}\sqrt{yz}

16\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}

Q4:

\sqrt{15n^2}\sqrt{10n^3}

\sqrt{15}n\sqrt{10n^3}

\sqrt{15}n\sqrt{10}\sqrt{n^2}\sqrt{n}

\sqrt{15}\sqrt{10}n^2\sqrt{n}

\sqrt{5}\sqrt{3}\sqrt{5}\sqrt{2}n^2\sqrt{n}

5\sqrt{3}\sqrt{2}n^2\sqrt{n}

5\sqrt{6}n^2\sqrt{n}

Q5:

\frac{\sqrt{3x^2y^3}}{4\sqrt{5xy^3}}

\frac{\sqrt{3}xy\sqrt{y}}{4\sqrt{5}y\sqrt{x}\sqrt{y}}

Cancel off \sqrt{x}:

\frac{\sqrt{3}y\sqrt{x}\sqrt{y}}{4\sqrt{5}y\sqrt{y}}

Cancel off y:

\frac{\sqrt{3}\sqrt{x}\sqrt{y}}{4\sqrt{5}\sqrt{y}}

Cancel off \sqrt{y} :

\frac{\sqrt{3}\sqrt{x}}{4\sqrt{5}}

Multiply \sqrt{5} on the numerator and denominator:

\frac{\sqrt{3}\sqrt{x}\sqrt{5}}{4\sqrt{5}\sqrt{5}}

\frac{\sqrt{15}\sqrt{x}}{20}

5 0
3 years ago
What is the sum of r? - 3x + 7 and 3x2 + 5x - 9?
sergij07 [2.7K]

Answer:

3 x 2 + 2 x − 2

Step-by-step explanation:

5 0
3 years ago
A&b are complimentary angles a measures 32 what is the measure of b
tensa zangetsu [6.8K]

Answer:

B=58

Step-by-step explanation:

Complementary angles are angles where the sum equals 90°. So all you have to do is 90-32 and you get 58.

8 0
3 years ago
Other questions:
  • The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 31
    11·2 answers
  • The radius of a circle measures 2 inches. What is the measure of its circumference? a. 14.34 inches c. 8.43 inches b. 10.56 inch
    12·2 answers
  • BÉ is an angle bisector of ZABC.
    11·1 answer
  • What other story element is most affected by the narrator's point of view?
    11·1 answer
  • Change this fraction to an equivalent fraction with multiplication.<br><br> 1/5 = _____
    7·2 answers
  • Can someone help me:) thank you!​
    6·2 answers
  • Graph the function and select the y-intercept. y = 2 • 3x
    7·1 answer
  • Solve the math problem<br><br> No spamming or I will press charges <br><br><br> Will mark brainliest
    9·1 answer
  • Vineisha earned 22 out of
    12·1 answer
  • The point halfway between two endpoints of a line segment
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!