What is the equation of the line that passes through the point (5,-2) and has a slope of -2/5?​

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

Step-by-step explanation:

Step one:

mass of Freight car=25tons

the rate of filling is 1/3 ton per minute

let the time taken to fill the freight car be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=25+1/3x----------1

mas of dump truck=55tons

rate of being emptied= 1/6 tons per minute

let the time taken to empty the dump truck be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=55-1/6x----------2

Step two:

equating equations 1 and 2,

1. The tucks will weigh the same in

55-1/6x=25+1/3x

collect like terms

55-25=1/3x+1/6x

30=(2+1/6)x

30=3/6x

30=1/2x

30=0.5x

x=30/0.5

x=60min

or

1 hour

The tucks will weigh the same in  60minutes(1 hour)

2. How much coal will be in each truck when they weigh the same?

For the  train freight car, the weight after 60 minutes is

y=25+1/3(60)

y=25+20

y=55tons

55-25=20tons

There will be 20tons

For the  dump truck, the weight after 60 minutes is

y=55-1/6(60)

y=55-10

y=45tons

55-45=10tons

There will be 10tons

Step-by-step explanation:

The product is carbon dioxide and water

Answer:

1.99 * 10^4

Step-by-step explanation:

Here, we want to write the addition in standard form

= (1 * 10^4) + (9 * 10^3) + (9 * 10^2)

= 10,000 + 9000 + 900

= 19,900

so the number in standard form is;

1.99 * 10^4

Answer:

Opposite sides are congruent

Step-by-step explanation:

First off the equals sign with the wave over it means congruent. It wouldn't be either answer with diagonals because the segments that are congruent are sides of the parallelogram not diagonals. Next even though the congruent sides are parallel by providing the information (AB being congruent to CD and AD bring congruent to CB) opposite are parallel wouldn't be the answer because of what you are given.

Sorry if its wordy I hope this helps : )

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]

[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]

[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]

Inverse both sides

[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]

[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]

[tex]R = \frac{48}{10} \\ [/tex]

[tex]R = 4.8 \: \: Ω[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( B )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

10

Step-by-step explanation:

The . 8 would round up making the 9 a 10

So the answer is ten

Answer:how many total ounces are in this container?

Step-by-step explanation:

Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation:

An exterior angle equals the sun of the two opposite inside angles:

5x = 120 + x

Subtract 1 x from both sides:

4x = 120

Divide both sides by 4:

X = 30

The answer is D. 30

Answer:

y + (-3) = -8

Step-by-step explanation:

i just know

pls mark branliest

Answer:  27:18 and 13:x can also be written as 27/18 and 13/x

therefore, 27:18 = 13:x

                 27/18 = 13/x

                 27/18 *13= x

               x = 19.5

Hope it helped u,

pls mark as the brainliest

and put thanks

^_^

Answer:

A. 12

Step-by-step explanation:

Answer:

nonstatistical

Step-by-step explanation:

Have a great day and hope this helps

Answer:

statistical

Step-by-step explanation:

i did it

Answer:

B ≥ 209

Step-by-step explanation:

This is the equation - 25b + 525 ≥ 5750  .      

Comment if I solved it incorrectly ;-;  

Answer:

2x-6

Step-by-step explanation:

Answer:

B. is your answer dear

Step-by-step explanation:

0.44*50+23

22+23 = 45

hope you got it.

Answer:

2 big

30 small

Step-by-step explanation:

possibility

Answer:

ABC is a right angled triangle

BCD is also a right angled triangle

ABD is a scalene triangle

9514 1404 393

Answer:

  ∆ABC ~ ∆BDC ~ ∆ADB

Step-by-step explanation:

The given triangle is named using the largest acute angle vertex (A) first, followed by the right angle vertex (B), then the remaining vertex (C). Using that same order, the triangles, largest-to-smallest are ...

  ∆ABC ~ ∆BDC ~ ∆ADB

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{ {6}^{8} \times {6}^{3} }{ {6}^{5} } = \\ [/tex]

[tex] \frac{ {6}^{8 + 3} }{ {6}^{5} } = \\ [/tex]

[tex] \frac{ {6}^{11} }{ {6}^{5} } = \\ [/tex]

[tex] {6}^{11} \times {6}^{ - 5} = [/tex]

[tex] {6}^{11 - 5} = [/tex]

[tex] {6}^{6} [/tex]

Thus ;

[tex] {6}^{[6]} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer: = 4x² - x - 3

(4x+3)(x -1 ) = 4x² + 3x - 4x - 3 = 4x² - x - 3

Step-by-step explanation:

Answer:

some thing is broken man

Step-by-step explanation:

Answer:

It is same.

The PS and RS leg which has the same length allow the use of HL by providing the same degree of angle.

Thank you and please rate me as brainliest as it will help me to level up

Answer:

x= kaylas age

older sister: 2x+1

younger sister: x-3

x+2x+1+x-3=26

4x-2=26

4x=28

x=7 years old

Step-by-step explanation:

Answer:

[tex]\frac{\sqrt{2} }{8}[/tex]

Step-by-step explanation:

Using the exact values of the given trig functions, then

sin45° × sin30° × cos60°

= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{\sqrt{2} }{8}[/tex]

Answer:

domain is all the values that go into a function, and the range is all the values that come out.

Answer:

Domain: -6 <= x <= 3 and Range -9 <= y <= 5

Step-by-step explanation:

Domain is x

Range is y

(x, y)

The smallest x is -6

The largest x is 3

The smallest y is -9

The largest y is 5

Answer:

720 divided by 90

Step-by-step explanation:

72 divided by 9 is 8. 720 divided by 9 is 80 because you're keeping the 0, but when dividing, take away the zeros if both numbers have a zero to make it easier