Which equation best represents the line that is parallel to 3x -4y=7 and passes through the point (-4,-2)? Select two options.

Answers

Answer 1
Answer:

Answer:

The equation that best represents the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2)  is y = 3/4x + 1.

Step-by-step explanation:

3x - 4y = 7 and (-4, -2)

First, solve for y in the equation:

3x - 4y = 7

-4y = -3x + 7

4y = 3x - 7

y = 3/4x - 7/4

m = 3/4 (This will be the slope of the parallel line.) and (-4, -2)

Use the point-slope equation to find the equation that will best represent a parallel line:

y − y1 = m(x − x1)

y - -2 = 3/4(x - -4)

y + 2 = 3/4x + 3 (the 4s cancel out)

(3/4 x 4/1 = 3)

y = 3/4x + 1

The graph that I attached is what these two equations would look like graphed. I am not sure what you mean by two options, I'm sorry!


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How do you turn 20/3 into a mixed number

Answers

6 2/3 You could have looked up: 20/3 as a mixed number to get many answers also. :)

A geometry student says; "I got lost in that lesson - I wrote down that AD/AB = AC/AB but I have no ideawhere it comes from."
Which of the following should have been the proportion that the student wrote?
answer choices:
a) AD/AB=AB/AC
b) AD/AC=AB/AB
c) AB/AD=AB/AC
d) AB/AC=AB/AD

Answers

Answer:

Therefore the choice is

a) AD/AB=AB/AC

Step-by-step explanation:

In  Δ ADB and Δ ABC  

∠A ≅ ∠A    …………..{Reflexive Property}

∠ ADB ≅ ∠ ABC      ..............{ measure of each angle is 90° given }

   

Δ ADB ~ Δ ABC ….{Angle-Angle  Similarity test}

If two triangles are similar then their sides are in proportion.

(AD)/(AB) =(AB)/(AC)\ \textrm{corresponding sides of similar triangles are in proportion}\n  

Therefore the choice is

a) AD/AB=AB/AC

Answer:

Therefore the choice is

a) AD/AB=AB/AC

Step-by-step explanation:

In  Δ ADB and Δ ABC  

∠A ≅ ∠A    …………..{Reflexive Property}

∠ ADB ≅ ∠ ABC      ..............{ measure of each angle is 90° given }

  Δ ADB ~ Δ ABC ….{Angle-Angle  Similarity test}

If two triangles are similar then their sides are in proportion.

Therefore the choice is

a) AD/AB=AB/AC

If g(x)=1.5x-3 ,determined if f(x) > g(x) when x = 4​

Answers

Answer:

4

Step-by-step explanation:

hope this helps

The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times. What is the experimental probability of rolling a 1 or a 5?

Express your answer in simplest form.

Outcome 1 2 3 4 5 6
Number of times outcome occurred 10 6 4 8 6 6

Answers


Total number of rolls in the experiment:  (10 + 6 + 4 + 8 + 6 + 6)  = 40 .

Number of times  '1'  or  '5'  came up:  (10 + 6) = 16 .

Experimental probability of  '1'  or  '5'  :   16/40  =  40%
(Could change, and most likely will, in the next experiment.) 

Theoretical probability:  2/6  =  33-1/3 %


Answer:

1/4

Step-by-step explanation:

A cylindrical container has a radius of 4 cm and a height of 7 cm. to the nearest tenth, what is the volume of the container?es
347.2 cm3
351.9 cm3
359.1 cm
372.4 cm

Answers

Answer:

Volume = 351.9cm³

Step-by-step explanation:

Volume of cylinder = πr²h

r = 4cm, h = 7cm, π = 3.142, volume = 347.2cm³

Volume = 3.142 × 4² × 7

Volume  = 3.142 × 16 × 7

Volume = 351.90cm³

Volume = 351.9cm³

I hope this was helpful, please mark as brainliest

Answer:

B) 351.9 cm3

Step-by-step explanation:

351.9 cm3

V = πr2h

V = π(4)2(7)

V = π(16)(7)

V = 112π

V = 351.858

Carla made a scale drawing of a classroom. The length of the classroom in the drawing is 5in. The actual length is 40ft. What scale did Carla use for her drawing?

Answers

Answer:

1/96

Step-by-step explanation:

scale is

a model cannot be as same size as that of actual object ,

hence objects are scales down to some value so that its model can be comfortably made.

scale is generally ratio of length  of drawing and actual length of object

scale = length  of drawing / actual length of object.

Given

length of classroom drawing = 5in

actual length of classroom = 40 ft

as unit of drawing and actual classroom is different lets make unit of class smilar to that of drawing that is in inches

we know

1 feet = 12 inches

thus 40 feet = 12*40 inches = 480 inches

thus,

actual length of classroom in inches = 480 inches

scale used by Carla = length  of drawing / actual length of classroom

                                = 5 inches/480 inches = 1/96 (answer)