Using the slope formula, find the slope of the line through the given points.
(12,0) and (4, -2)

Answer:

y-intercept = (0, 6)

x-intercept = (-4, 0)

Step-by-step explanation:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0.

To find the y-intercept, set x = 0:

4y - 6x = 24

4y - 6(0) = 24

4y = 24

4y/4 = 24/4

y = 6

Therefore, the y-intercept is (0, 6).

The x-intercept is the point the graph where it crosses the x-axis, and has coordinates (a, 0). It is also the value of x when y = 0.

To find the x-intercept, set y = 0:

4(0) - 6x = 24

0 - 6x = 24

-6x/-6 = 24/-6

x = -4

Therefore, the x-intercept is (-4, 0).

Answer:

Slope = 2

Step-by-step explanation:

(x₁ , y₁) = ( 1 , 1)   & (x₂,y₂) = (-1,-3)

[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-3-1}{-1-1}\\\\=\dfrac{-4}{-2}\\\\=2[/tex]

Let's solve your equation step-by-step.

(3x−2)(x+6)−(x−1)(2x)=103

Step 1: Simplify both sides of the equation.

x2+18x−12=103

Step 2: Subtract 103 from both sides.

x2+18x−12−103=103−103

x2+18x−115=0

Step 3: Factor left side of equation.

(x−5)(x+23)=0

Step 4: Set factors equal to 0.

x−5=0 or x+23=0

x=5 or x=−23

Answer:

x=5 or x=−23

Step-by-step explanation:

it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :

c² = a² + b²

where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.

so, we have

20² = a² + 12²

400 = a² + 144

a² = 256

a = 16

FYI - we could have picked the right answer also by eliminating the wrong given answer options.

as this is a right-angled triangle :

a cannot be longer than the baseline (20).

that eliminates already the first 2 options.

and then look at the picture : a cannot be shorter than b (the other side line (12)).

that eliminates the third option.

Answer:

y = 2x - 19

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = (x , y) = 1

m = slope = 2

x = (x , y) = 10

b = y-intercept

Plug in the corresponding numbers to the corresponding variables:

1 = 2(10) + b

First, simplify, and then isolate the variable, b. Note the equal sign, what you do to one side, you do to the other.

First, multiply 2 with 10:

1 = (2 * 10) + b

1 = 20 + b

Next, subtract 20 from both sides of the equation:

1 = b + 20

1 (-20) = b + 20 (-20)

1 - 20 = b

b = -19

Plug in 2 for m, and -19 for b.

y = 2x - 19 is your slope-intercept form.

~

Answer:

[tex]\frac{b}{19}[/tex]

Step-by-step explanation:

If you cross-multiply in the first proportion you get 19a = 5b

To keep this, if we have a/5, we need b/19 to cross-multiply and still get 19a = 5b

Answer:

Umm Where's The Answer?

Answer:

reciprocal of 4= 1/4

reciprocal of 1/3=3

reciprocal of -1/7 = -7

reciprocal of -4/5=-5/4

Step-by-step explanation:

it's explained

Answer:

62

Step-by-step explanation:

Equation: x +28 =90

x = 59°

Measure of one angle = 59°

Measure of another angle = 31°

Equation to calculate the measurement: x + x - 28 = 90Given,

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.

Given,

Sum of two angles = 90°

One angle is 28° larger than other

Let the measurement of one angle is x

then other angle = x - 28°

But,

x +  x - 28° = 90°

2x - 28° = 90°

2x = 90° + 28°

x = 118°/2

x = 59°

one angle = 59°

other angle = 59° - 28° = 31°

Hence, 59° is measure of one angle

and 31° is measure of other angle.

x + x - 28 = 90 is the Equation to calculate the measurement.

Learn more about angle here:

https://brainly.com/question/28451077

#SPJ2

Answer: g=100

Step-by-step explanation:

Answer:

g = 105

Step-by-step explanation:

G = 105 because the angle across from 105 on the left is also 105 (opposite angles), and g is a corresponding angle to the angle across from the 105 that is given.

Answer:

Similar AA

Step-by-step explanation:

By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.

Answer:

C. similar AA

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Answer:

IM PEPPA PIG

Step-by-step explanation:

UGHHHHHH 3333333

Answer:

-1

Step-by-step explanation:

Step-by-step explanation:

Given by your question

2(3x-1)≥4x-6

Distributive property to take off the parentheses

2×3x-2×1≥4x-6

6x-2≥4x-6

Subtract 4x on both sides (Subtractive property of equality)

6x-2-4x≥4x-6-4x

2x-2≥-6

Add 2 on both sides (Addition property of equality)

2x-2+2≥-6+2

2x≥-4

Divide 2 on both sides (Division property of equality)

2/2 x≥-4/2

x≥-2

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Looking at the options you've provided.

-10 INCORRECT, it is not greater or equal to -2

-5 INCORRECT, it is not greater or equal to -2

-3 INCORRECT, it is not greater or equal to -2

-1 CORRECT, it is greater than -2

Answer:

2(3x -1) = 4x - 6

6x - 2 = 4x - 6

6x -2+2 = 4x -6 + 2

6x - 4x = 4x - 4x -6 + 2

6x - 4x = -6 + 2

2x = -4

2 2

x = -2

Answer:

-4w+32

Step-by-step explanation:

distribute the 4 to everything in the ( )

Answer:

slope = y^2 - y^1 / x^2 - x^1 = 4

your slope would be 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

Answer:

Answer: [tex]196m^2[/tex]

Step-by-step explanation:

since it's a cube the floor is in square shape

Answer:

SINCE ITS A CUBE OF FLOOR SHAPE.

=4

=169m²Ans.

Answer:

30° angle it might be same

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]y = \underline{-\frac{5}{3}}x + \boxed{10}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Converting to Slope-Intercept Form:}\\5x + 3y = 30\\\rule{150}{0.5}\\\rightarrow 5x - 5x + 3y = 30 - 5x\\\\\rightarrow 3y = 30-5x\\\\\rightarrow\frac{3y=30-5x}{3}\\\\\rightarrow y = 10 -\frac{5}{3}x\\\\\rightarrow \boxed{y = -\frac{5}{3}x + 10}[/tex]

⸻⸻⸻⸻

[tex]\text{General Slope-Intercept Formula:}\\y = mx + b\\\rule{150}{0.5}\\$\bullet \text{ }m -\text{Slope}\\$\bullet \text{ }b -\text{Y-Intercept}\\\rule{150}{0.5}\\\text{In the given equation, the slope would be } -\frac{5}{3} \text{ and the y-intercept would be } 10.[/tex]

⸻⸻⸻⸻

[tex]y = \underline{-\frac{5}{3}}x + \boxed{10}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The midpoint of a line divides the line into equal segments.

The option that proves PQ = LO is (a)

The given parameters are:

[tex]\mathbf{L = (0,0)}[/tex]

[tex]\mathbf{M = (3,0)}[/tex]

[tex]\mathbf{N = (3,7)}[/tex]

[tex]\mathbf{O = (0,7)}[/tex]

P is the midpoint of LM.

So, we have:

[tex]\mathbf{P = \frac{LM}{2}}[/tex]

[tex]\mathbf{P = (\frac{(0 +3}{2},\frac{0+0}{2})}[/tex]

[tex]\mathbf{P = (\frac{3}{2},0)}[/tex]

Q is the midpoint of NO.

So, we have:

[tex]\mathbf{Q = \frac{NO}{2}}[/tex]

[tex]\mathbf{Q = (\frac{(3 +0}{2},\frac{7+7}{2})}[/tex]

[tex]\mathbf{Q = (\frac{3}{2},7)}[/tex]

Distance PQ is calculated as follows:

[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

This gives:

[tex]\mathbf{PQ = \sqrt{(3/2 - 3/2)^2 + (0 - 7)^2}}[/tex]

[tex]\mathbf{PQ = \sqrt{ 7^2}}[/tex]

[tex]\mathbf{PQ = 7}[/tex]

Distance LO is calculated as follows:

[tex]\mathbf{LO = \sqrt{(0 - 0)^2 + (0 - 7)^2}}[/tex]

[tex]\mathbf{LO = \sqrt{ 7^2}}[/tex]

[tex]\mathbf{LO=7}[/tex]

So, we have:

[tex]\mathbf{PQ = 7}[/tex]

[tex]\mathbf{LO=7}[/tex]

Thus:

[tex]\mathbf{PQ = LO}[/tex]

Hence, the correct option is (a)

Read more about distance and midpoints at:

https://brainly.com/question/11231122

Answer:

8049.43

Step-by-step explanation:

1999.99 + 6049.44

Answer:

0.9

Step-by-step explanation:

Answer:

76 women classified with severe hip pain, the WOMAC mean function score was 70.7 with standard deviation of 14.6, and we wish to know if we may conclude that the mean function score for a population of similar women subjects with severe hip pain is less than 75. let alpha is equal

Answer: 0.00034

Step-by-step explanation: 10^-4 would move the decimal left four times.

Answer:

y = -2x + 4

Step-by-step explanation:

Slope: (4-2)/5-1) = 2/4 = 1/2

Slope of the perpendicular line: -2

y-intercept: 2 - (-2)(1) = 4

Answer:

The answer is 1…

Step-by-step explanation:

Well you can elimate a lot of fractions right off the bat just multiply everything by 60/1.

the final result will be

(240+15+40)+ (300+90-72)- (360+105+24)

Now solve

240-15+40=265

300+90-72=318

360+105+24=513

265+268-489

265+268= 11

533-513=20

bleh i m not sure naymore

Answer:

68.46

Step-by-step explanation:

In order to find the angle, we can use the cosine rule:

c²=a²+b²-2abCos(c)

And rearrange for Cos(c)

(please note that c in this case is x)

So,

x=Cos^(-1) (a²+b²-c²)/2ab

By substituting the values, we get x=Cos^(-1)(4²+4²-4.5^2)/2(4)(4)

=68.46

Answer:

What's the question?

Answer: a

Step-by-step explanation: