A line passes through the point (4, -6) and has a slope of -3/4. Which is the equation of the line

Answer:

[tex]\dfrac{3a-3b}{a-b}=\dfrac{3}{1}[/tex]

Step-by-step explanation:

[tex]\text{Given}\\\\\dfrac{a}{3}=\dfrac{b}{2}\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{a}{3\!\!\!\!\diagup}=3\cdot\dfrac{b}{2}\\\\a=\dfrac{3b}{2}[/tex]

[tex]\text{Substitute to}\ \dfrac{3a-3b}{a-b}:\\\\\dfrac{3\cdot\frac{3b}{2}-3b}{\frac{3b}{2}-b}=\left(\dfrac{9b}{2}-3b\right):\left(\dfrac{3b}{2}-\dfrac{2b}{2}\right)=\left(\dfrac{9b}{2}-\dfrac{6b}{2}\right):\left(\dfrac{3b-2b}{2}\right)\\\\=\left(\dfrac{9b-6b}{2}\right):\dfrac{b}{2}=\dfrac{3b\!\!\!\!\diagup}{2\!\!\!\!\diagup}\cdot\dfrac{2\!\!\!\!\diagup}{b\!\!\!\!\diagup}=\dfrac{3}{1}[/tex]

Other method:

[tex]\dfrac{3a-3b}{a-b}=\dfrac{3(a-b)}{a-b}\qquad|\text{cancel}\ (a-b)\\\\=\dfrac{3}{1}[/tex]

Answer:

c bye  have a good day

Step-by-step explanation:

Answer:

115.6

Step-by-step explanation:

use a calculator

Answer: it’s the first one

Step-by-step explanation:

congruent means flipped but still the same

Answer:

Yes, the second one is correct!

Step-by-step explanation:

They are in order by the congruent angles, so you are correct.

Answer:

11/6

Step-by-step explanation:

Answer:

the simplest form is 11/6

Answer:

42

Step-by-step explanation:

6 to the second power is 36+6 is 42.

Answer:

who katie

Step-by-step explanation:

Answer: the answer is letter A

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/4:2/3 = x:3/3

cross multiply

1/4         x

2/3       1

2/3x=1/4

divide by 2/3 on both sides..

when you divide a fraction you multiply by its reciprocal

1    3      3

4   2       8

so when lucien runs a mile, pascal walks 3/8 of a mile

Answer:

9

Step-by-step explanation:

f(-2)=-2² +5

f(-2) =4+5

f(-2) =9

The slope of the given line is  [tex]\frac{1}{6}[/tex].

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases.

When a linear equation is written in slope intercept form, the slope of the line can easily be identified. The slope is "m" or the coefficient of x in the equation.

According to the question ;

The given line is

[tex]y = \frac{1}{6} x + \frac{3}{2}[/tex]

By comparing with the standard equation of the line .

y = mx + c

[tex]m = \frac{1}{6} \\ c = 6 \\[/tex]

Now ; slope of the line = m =   [tex]\frac{1}{6}[/tex]

The slope of the line is  [tex]\frac{1}{6}[/tex] .

For the more details about slope of the line click the link given below.

https://brainly.in/question/47593967

Area of garden = 81 ft²

Area of square = side²

[tex] \rm \implies side ^{2} = 81 \\ \\ \rm \implies side = \sqrt{81} \\ \\ \rm \implies side = \sqrt{ {9}^{2} } \\ \\ \rm \implies side = 9 \: ft[/tex]

Perimeter of square = 4 × Side

= 4 × 9

= 36 ft

[tex] \therefore [/tex] Fencing needed by Janet = 36 ft

Answer:

9 and 8 are linear and 10 is non linear

Step-by-step explanation:

an = dn - c

The an stands for the nth term of the pattern. So a1 is the first term and a2 is the second term of the pattern. The d is the difference between each of the terms. The n stands for the term you're calculating. If you're calculating the third term, then n is 3. And c is a constant that you'll need to calculate.

For example, the linear number pattern of 1, 3, 5, 7, 9, … has an equation of:

an = 2n - 1.

The slope of line from the given graph is 4/3.

The coordinates of line from the given graph are (4, 3) and (1, -1).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Now, put (x1, y1) = (4, 3) and (x2, y2) = (1, -1) is slope formula, we get

Slope = (y2-y1)(x2-x1)

= (-1-3)/(1-4)

= 4/3

Therefore, the slope of line from the given graph is 4/3.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ2

Answer:

B. 12.40

Step-by-step explanation:

Add all the hours

Total profit divided by the amount of hours

Answer:-210

Step-by-step explanation:6, -6, -18, so, you multiply -12 by 18, and you can find that number. -12 times 18=-216, and -216+the first number 6, equals 210

Answer:

B?

Step-by-step explanation:

(This is math. Is that question supposed to be math? I'm not sure)

Answer: The answer should be 1.5.

Step-by-step explanation:

$6 divided by 12 is .5... Multiply .5 by 3, seeing as 1 pound = $.5

Answer:

$.5

Step-by-step explanation:

hope this helps y'all

Answer:

70 is the answer

Step-by-step explanation:

Answer:  (9x + 11) = 70

Step-by-step explanation:

Answer:

8.3 meters per second

Step-by-step explanation:

Divide 99.6 by 12

The answer is 8.3

So the hot air balloon descended 8.3 meters every second

Hope this helps :)

Answer:

8.3 meters per second

Step-by-step explanation:

99.6 divided by 12 is 8.3 which is where your answer comes from.

Answer:

50 degrees

Step-by-step explanation:

The total sum of angles in a triangle is 180, thus the value of ∠ACB will be obtained as follows:

Given that the triangle is a right triangle, the sum of angles will be:

(4x)°+(7x-20)°+90=180

simplifying and solving for x we get:

4x+7x-20+90=180

11x=180+20-90

11x=110

dividing both sides by 11 we get:

(11x)/11=110/11

this gives us

x=10°

Thus substituting the value of x in:

∠ACB=(7x-20)°

=(7*10-20)

=70-20

=50°

Answer: 50°

Answer:

67

Step-by-step explanation:

180 - (53 + 60) = 67

Answer:

(2,1) is the solution to both lines A and B

Step-by-step explanation:The answer is D

Answer:

just do y/x if its the same number for all its proportional

Step-by-step explanation:

if its not the same number for all ten its not proportional

5÷0

7÷1 etc.

Answer:

162m

Step-by-step explanation:

(8x14)+ (10x5) =162m

112 + 50 = 162m

Answer:

162m

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B. angle N is supplementary to angle P

Answer:

B

Step-by-step explanation: