Which equation represents a line that has a slope of – 2/3 and a y-intercept of 4?
A)
2x + 3y = 12
B)
2x - 3y = 12
C)
3x - 2y = 12
D)
3x + 2y = 12

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Slope-intercept form: y=mx+b

2x+3y = 12

3y = 12-2x

y = (12-2x)/3

y = 4-2/3x

Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.


Related Questions

I need help please thank you

Answers

Answer:

1) 4x^2-x+1

2) -4x^2+3x

3) 6r^3 - 15r

Step-by-step explanation:

pleaseeeee pleaseeee helppppppppp​

Answers

Given:

The two vectors are:

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

To find:

The value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex].

Solution:

We have,

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

The cross product of these two vectors is:

[tex]\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}[/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}[/tex]

Now the magnitude of the cross product is:

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}[/tex]

Therefore, the value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex] is [tex]\sqrt{110}[/tex].

Are the two figures below similar?

Answers

Answer:

No

Step-by-step explanation:

While both legs of the triangle are similar with a ratio of 3:4, the hypotenuses of the triangles have a ratio of 8:11

Given f(x)=2x^2+1 and g(x)=3x−5 , find the following. g(f(x))

Answers

9514 1404 393

Answer:

  g(f(x)) = 6x^2 -2

Step-by-step explanation:

Evaluate the expression using the given argument value.

  g(f(x)) = g(2x^2 +1) = 3(2x^2 +1) -5

  = 6x^2 +3 -5 = 6x^2 -2

__

  g(f(x)) = 6x^2 -2

two angles in a triangle have measures of 13° and 65° what is the measure of the third angle

Answers

Answer:

102

Step-by-step explanation:

All angles added together=180

180-13-65

180-78

102

I’m on a time limit and I really have no clue what this is. Please help!!!!

Answers

Answer:

2/8

Step-by-step explanation:

I think, I am not sure

if the central angle is 3pie/4 and the radius is 13 what's the arc length

Answers

Answer:

The arc length is 9.75 pi units

Step-by-step explanation:

Mathematically, we use the formula below to get the length of an arc

Length of an arc is;

theta/360 * 2 * pi * r

where theta is the central angle

for 3pi/4 ; let us convert to degrees

The degree measure is 180 degrees for pi

so 3pi/4 will be (3 * 180)/4 = 135 degrees

So we have the arc length as follows;

135/360 * 2 * pi * 13 = 9.75 pi unit

x2 + 7y if x = -5 and y = -8

Answers

Answer:

x2 + 7y = -64 (if x = -5 and y = -8)

Step-by-step explanation:

x2 + 7y

(-5 × 2) + (7 × -8)

-10 + -54 which is the same as -10 - 54

-64

The value of expression x² + 7y at x = - 5 and y = - 8 is, - 31.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ x² + 7y

And, x = - 5 and y = - 8

Now, Substitute the value of x and y in the expression, we get;

⇒ x² + 7y

⇒ (-5)² + 7×- 8

⇒ 25 - 56

⇒ - 31

Thus, The value of expression is, - 31.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Can one of y’all help me pls

Answers

Answer:

D) x - 7 + 3

Step-by-step explanation:

gave sister = subtract

aunt gave = addition

Equation:

x - 7 + 3

HELP ASAP GEOMETRY CIRCLES 10TH GRADE

Answers

Answer:

a): 68

b): 32

Step-by-step explanation:

In a triangle, there is a total of 180 degrees

We are given 2 out of the 3 angles, 54 and 58 degrees

180-54-58= 68 degrees

In the other angle, both lines form a 90-degree angle

We are given 58 degrees, so the rest must be 32.

Given a bag of 4 red marbles, 5 blue marbles & 6 green marbles, find the probability of drawing a blue marble, replacing it, and then drawing a green marble.

Answers

Answer:

15

Step-by-step explanation:

Mr. Pennington had a board 2 1/4 feet long. He
used 21 inches. How much of the board did he
have left?

Answers

Me. Pennington had 6 inches left over.

Explanation.
2 1/4 feet is equal to 27 inches. If he used 21 inches, then he'd had 6 inches left over; 27-21=6.

Have a good day!

find the value of x and find the value of the angle with a star in it​

Answers

Answer:

x = 25

angle measure = 55

Step-by-step explanation:

The two angles are supplementary

2x+5+5x = 180

7x+5 = 180 subtract 5 from both sides

7x = 175 divide both sides by 7

x = 25 to find the angle with the star replace x with 25

25*2 + 5 = 55

Triangle ABC is congruent to triangle A′′B′′C′′ . Which sequence of transformations could have been used to transform triangle ABC to produce ​ triangle A′′B′′C′′ ​ ? ​ Triangle ABC ​ was translated 10 units right and then reflected across the x-axis. ​ Triangle ABC ​ was reflected across the y-axis and then translated 7 units down. ​ Triangle ABC ​ was reflected across the x-axis and then translated 9 units right. ​ Triangle ABC ​ was translated 7 units down and then 9 units right. A coordinate graph with triangle A B C and triangle A double prime B double prime and C double prime. Triangle A B C has points at A begin ordered pair negative 6 comma 2 end ordered pair, B begin ordered pair negative 3 comma 6 end ordered pair, C begin ordered pair negative 3 comma 2 end ordered pair. Triangle A double prime B double prime C double prime has points at A double prime begin ordered pair 6 comma negative 5 end ordered pair, B double prime begin ordered pair 3 comma negative 1 end ordered pair, C double prime begin ordered pair 3 comma negative 5 end ordered pair.

Answers

Answer:

The answer is B

Step-by-step explanation:

Triangle ABC was reflected across the y-axis and then translated 7 units down.

What is the value of v?

Answers

The volume of the cube is 4,913 cubic millimeters. In order to find out the value of V, we must find the cube root of 4913, which is 17 = V.

V = 17

can someone please help me​

Answers

The answer is Y= -3/4x plus 3

HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!

Answers

What’s the question do we have to solve it?

pls help solve this math problem​

Answers

Step-by-step explanation:

the answer is 3 following triangle law

I need help !!asap......​

Answers

Answer:

65 degrees

Step-by-step explanation:

I recently answered a question in detail that was similar to this one. Feel free to look at my answered questions for it.

For this one, the easiest way to think about it is this. The line on which both angle 4 and angle 1 sit is a straight line, that makes them supplementary angles which is just a fancy word that means if you add them together they equal 180.

(angle 4) + (angle 1) = 180

And if (angle 1) = 115, then that means

(angle 4) = 180 - 115

(angle 4) = 65

PLEASE HELP!! I will make you brainiest and give you 5 stars if you help me!

Answers

Answer:

D

Step-by-step explanation:

You multiply each coordinate by 1/4 to get the new coordinates of the triangle

I hope this helps you

CAN SOMEONE PLEASE HELP

Answers

Answer:

The first one.

Step-by-step explanation:

The symbol that you are comparing the numbers with is equal two or greater than and you have to be 48 inches or taller.

Una empresa de elaboración de helados es capaz de producir 800 litros de helado de tres leches, con 8 máquinas en 42 minutos. Si fallaran dos de las máquinas, pero debieran mantener la producción de helado ¿Cuánto tiempo tardarían?

Answers

Answer:

I dont understand spanish!

Step-by-step explanation:

helpoooooo please hhhb

Answers

Answer:

Step-by-step explanation:

that vector is in the 4th quadrent. This means that it will be between 270 and 360 degrees.

setting up directions over the graph (like a compass), the vector would be between East and South  

using the diagram below it would most likly be south of east and 350 degrees

i need help as soon as possible the answers are
7
102
14
51

Answers

Answer:

The length of diagonal TU is 102 units

Step-by-step explanation:

Mathematically, the diagonals of a parallelogram bisect each other

This means that the lengths on either of the either of the sides are equal

Mathematically, we have it that;

7x + 2 = 6x + 9

7x - 6x = 9-2

x = 7

The diagonal TU has the measure of ;

(7x + 2) + (6x + 9)

7x + 6x + 2 + 9

= 13x + 11

substituting the value of x, we have

13(7) + 11

= 102

i need help with this asap
decide whether each if the pairs if angles given and illustrated are
alternate exterior
alternate interrior
correspondkn
vwrtical
1,2,3,4,5,6​

Answers

Answer: i think its alternate interior

Help please. No links

Answers

Answer:

C

Step-by-step explanation:

The question is asking which one is equal to the absolut value of 12. The absolute value of -12 equals 12, so it is the same as the absolute value of 12.

Sophia is going to invest $7,900 and leave it in an account for 6 years.
Assuming the interest is compounded monthly, what interest rate, to the
nearest hundredth of a percent, would be required in order for Sophia to end
up with $9,400?

Answers

Answer:

r= 2.90%

Step-by-step explanation:

delta math

What is the probability of rolling a 3 on a 6-sided 8)
number cube and then NOT rolling a 3 on a 6-
sided number cube?

Answers

Answer:

the chances of rolling a 3 are 1/6

the changes of not doing it is 5/6

HELP REALLY QUICK PLEASE

Answers

Answer:

The answer is 140

The yellow part which is shaded is 14x10 which equals 140


Aeryn spent 5 days building a
brick wall that had 100 bricks in
it. She got better each day and
managed to lay 4 more bricks
than the previous. How many
bricks did she lay her first day?

Answers

Aeryn laid 12 bricks on her first day.
12+16=28, 28+20=48, 48+24=72, 72+28=100
Day 1: 12
Day 2:28
Day 3:48
Day 4:72
Day 5:100
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