Use point-slope form to find the equation of the line with a slope of
[tex] - \frac{1}{2} [/tex]
Express your answer in slope-intercept form. that passes through the point (6,-4)?​

Answers

Answer 1

Answer:

y = -1/2 x - 1

Step-by-step explanation:

The expression in point-slope form is expressed as;

y-y0 = m(x-x0)

(x0,y0) = (6, -4)

slope m = -1/2

Substitute into the formula

y-(-4) = -1/2(x-6)

y+4 = -1/2(x-6)

2(y+4) = -(x-6)

2y+8 = -x+6

2y = -x+6-8

2y = -x-2

y = -1/2 x -2/2

y = -1/2 x - 1

Hence the answer in slope-intercept form is y = -1/2 x - 1


Related Questions

−8≤2−10
Can you please help me find it?

Answers

Answer:

-8 [tex]\leq[/tex] -8

Step-by-step explanation:

-8[tex]\leq[/tex]2-10

-8[tex]\leq[/tex]-8

Answer:

-8

Step-by-step explanation:

-8≤2-10
2-10 = -8
-8≤-8

12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill ______ holes in 25 minutes.

Answers

Step-by-step explanation:

12 holes / 6 minutes = 2 holes / 1 minute

the simplified ratio is 2/1 = 2.

so, for 25 minutes we need to keep the same ratio :

x holes / 25 minutes = x/25 = 2

x = 2×25 = 50

it drills 50 holes in 25 minutes.

what is the volume of the cylinder below

Answers

Step-by-step explanation:

here's your solution

=> volume of cylinder = πr^2h

=> radius of cylinder = 12 unit

=> height of cylinder = 17 unit

=> volume of cylinder = 2448 π units^3

[tex]\huge\mathcal\pink{here's \: your \: solution}[/tex]

[tex]\huge\mathfrak\purple{hope \: it \: helps \: }[/tex]

please help!!!

This is no confusing please help meeeeh.

Answers

Answer:

The squares would be 2

First one would be 2 × 2 × 2 = 8

The triangles would be 3

Second one would be 2 × 3 × 3 × 3 = 54

Circles would be 1

Third one would be 2 × 3 × 1 × 1 = 6

So that means the last one would be 1 × 2 × 3 = 6

Hope it all made sense and helped :)

What is the coefficient of X²Y in the product 7x² 5y X² 3y )? *?

Answers

The coefficient of the expression X²Y in the product 7x² 5y X² 3y is 35.

7x² 5y X² 3y

= 7x² X² (5y 3y)

= 7x² X² (2y)

= 7x² X² 2y

= 14x² 2y

= 28xy

= 35

The given expression is 7x² 5y X² 3y. This can be rearranged as 7x² X² (5y 3y). This is equal to 7x² X² (2y). This can further be rearranged as 7x² X² 2y. This is equal to 14x² 2y. This can be further rearranged as 28xy. This is equal to 35. Therefore, the coefficient of X²Y in the product 7x² 5y X² 3y is 35.

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PLEASE JUST HELP ME ( LINKS= REPORT)

Answers

Answer:

hexagonal based pyramid

E

7 faces

12 edges

7 vertex

13

15

Hope it helps :)

Pop is on sale at Save-U-Lots. Which pack has the lowest cost per unit?


A. 6- pack for $2. 49


B. 12-pack for $3. 99


C. 24-pack for $5. 49

Answers

In the case of a 24-pack for $5. 49, the cost of the unit is the lowest.

The cost per item is nothing to the amount of money invested in buying one item.

As we have 3 different scenarios:

Case A. 6- pack for $2. 49

As here. cost of 6 packs is $2.49, so for determining the cost of one pack we will divide $2.49 by 6.

So, the cost of 1 pack will be = 2.49/6 = 0.415 $/pack

B. 12-pack for $3. 99

As here. cost of 12 packs is $3.99, so for determining the cost of one pack we will divide $3.99 by 12.

So, the cost of 1 pack will be = 3.99/12 = 0.3325 $/pack

C. 24-pack for $5. 49

As here. cost of 24 packs is $4.49, so for determining the cost of one pack we will divide $5.49 by 24.

So, the cost of 1 pack will be = 5.49/6 = 0.22875 $/pack

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Write the coordinates of the vertices after a translation 1 unit down.

Answers

Answer:

M(4,0)

K(0,5)

L(6,5)

go down one

8th grade math, Pls help, will mark Brainliest

Answers

Answer:this is confusing

Step-by-step explanation:

i need help on this question plz and thanku

Answers

Answer:

42 cm cubed

Step-by-step explanation:

6x4x4 to find volume of 96 when it is filled.

3x3x6 = 54 to find out what is cut out.

96-54 = 42 cm cubed.

find Angles in isosceles triangles

Answers

Answer:

the value of x is 61 degree because the base angles of an isosceles triangle are equal.

Step-by-step explanation:

Hope it helps you!!

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 18 feet and a height of 19 feet. Container B has a diameter of 20 feet and a height of 17 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.

After the pumping is complete, what is the volume of water in Container B, to the nearest tenth of a cubic foot?

Answers

Answer:

4834.91 cubic ft.

Step-by-step explanation:

The volume of a right-cylinder is

[tex]\pi{r}^{2} h[/tex]

we are only concerned with the total amount of water from A.

plug in the respective radius (half the diameter) and height for A into our formula above and solve.

Given: PS bisects angle RST, 2SP=3SQ, 2ST=3SR

Prove: Triangle STP ~ triangle SRQ

Answers

The Triangle STP is similar to Triangle SRQ.

We can prove that triangle STP is similar to triangle SRQ using the Angle Bisector Theorem and the ratios of the sides of the triangles.

The Angle Bisector Theorem states that if point P bisects angle RST, then the ratio of the length of the side ST to the length of the side SR is equal to the ratio of the length of the side PT to the length of the side PQ.

In this case, we are given that 2SP = 3SQ and 2ST = 3SR.

Dividing both sides of the equation 2SP = 3SQ by 2 and both sides of the equation 2ST = 3SR by 2, we get:

SP/PQ = 3/2 and ST/SR = 3/2

As the ratio of the length of the side ST to the length of the side SR is equal to the ratio of the length of the side PT to the length of the side PQ.

Therefore, triangle STP is similar to triangle SRQ.

It can also be proven using the fact that PS bisects angle RST which means that the angle PST = PSR. And if two angles of two triangles are equal and the sides are in proportion then the two triangles are similar.

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GET POINTS!! JUST ANSWER THIS EASY QUESTION!!

Answers

Answer: imma go with b brother

Step-by-step explanation:

Simplify the following: (3 + 10i) - (-9 - 4i)

*PLEASE INCLUDE EXPLANATION

Answers

Answer:

12+14i

Step-by-step explanation:

For -(-9-4i), you need to clean up the parentheses so you would distribute. -1 times -9 and -1 times -4i.

You will get 9+4i

Now you have 3+10i+9+4i. You will now add like terms. 10i+4i= 14i. 9+3= 12.

12+14i

brainliest pls

-(3x squared) simplified

Answers

Answer:

-3x^2

Step-by-step explanation:

We must do the 'work' inside the parentheses first:

(3x squared)  works out to  3x^2

after which we preface this result with the ' - ' sign:  -3x^2

Note:  if we write ONLY 3x squared the correct interpretation is 3x^2.  But if we write (3x) squared, the correct interpretation is 9x^2.  Double check the original problem, please, or (better yet) share an image of the original problem.

explain how many different rectangles you can make with a perimeter of 32 units.​

Answers

Answer:

Well, it really just comes down to factoring the area into all of its components.

1 X 32 Perimeter is 2 + 64, or 66 m

2 X 16 Perimeter is 4 + 32 or 36 m

4 X 8 Perimeter is 8 + 16 or 24 m

8 X 4

16 X 2

32 X 1

Please note that the last 3 are just the first 3 in a different orientation and I don’t consider them to be unique. I noted them as a self-check to my own work. So we have 3 rectangles giving an area of 32 square meters and perimeters as noted above.

Answer:

dimensions which would give a rectangle a perimeter of 32 inches:

1 x 15

2 x 14

3 x 13

4 x 12

5 x 11

6 x 10

7 x 9

8 x 8

Step-by-step explanation:

Amy Beth found a new pair of shoes that were 30% off the original price. The original price was $60. How much did she save?

Answers

10% of $60 is $6. $6•3=$18. From there subtract $18 from $60... hope this helps :)

The average price for houses in the area is $280,000, and the standard deviation is $12,000. What is
the price of a house whose z score is 2.5?

Answers

When working with a normal distribution, you can use the z-score to determine how many standard deviations away from the mean a certain data point is.

Given that the average price for houses in the area is $280,000 and the standard deviation is $12,000, we can use the z-score formula to find the price of a house whose z-score is 2.5:

z = (x - mu) / sigma

where x is the price of the house, mu is the mean price of houses in the area, and sigma is the standard deviation of the price of houses in the area.

In this case, we are looking for the value of x, which is the price of a house whose z-score is 2.5, so we can rearrange the formula to solve for x:

x = (z * sigma) + mu

x = (2.5 * $12,000) + $280,000

x = $350,000

So the price of a house whose z-score is 2.5 is $350,000

It's worth noting that the value of Z-Score 2.5 is considered an outlier, it is usually very rare to find houses that far from the average and standard deviation.

Using a model of the prototype artillery, a ball is fired into the air with an initial upward velocity of 48 ft/s. Its height, h, in feet after t seconds is given by the function:

What height will the ball be when 2 seconds has passed?
In how many seconds will the ball reach its maximum height?
What is the ball’s maximum height?
After how many seconds will the ball hit the ground?

Answers

don't open the file ‼️

What is an example of horizontal symmetry?

Answers

The examples of horizontal symmetry is B, C, H, E.

The term horizontal symmetry is defined as is a line about which the object is symmetric.

Here we know that the symmetry line or horizontal axis of a shape which divides the shape into two identical halves is known as horizontal line of symmetry.

Which defines that  the axis here crosses across the shape to cut it into two equal parts.

Therefore, the English alphabets such as B, C, H, E, are the examples of horizontal symmetry.

In this case, here we have a horizontal line passing through the middle of the image and when the image is folded along this line, then we get the two halves overlapping and coinciding perfectly.

Therefore, this one is also an example for this could be a square or a rectangle or any other object that is symmetric horizontally.

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Which cube root function is always decreasing as x increases?
○ f(x) Jm³√x – 8
O
f(x) = 3√√x-5
f(x)=√√-(5-x)
f(x) = -3√x+5

Answers

Option D) f(x) = -3√x+5 is the cube root function is always decreasing as x increases

What is the Formula of Cube Root Function? f(x) = x is the formula for the fundamental (parent) cube root function. After transformations, it can alternatively take the form f(x) = a (bx - h) + k. Here, the transformations are denoted by the real numbers a, b, h, and k.The symbol "" designates the cube root. For instance, 8 Equals (2 + 2 + 2) = 2. Finding the cube root of a number is simple since 8 is a perfect cube number.You need to discover a number that, when multiplied twice by itself, equals the original number in order to get the cube root of a given integer. To get the cube root of 8, then, you need to identify the integer that, when multiplied by itself twice, equals 8. Therefore, since 2 2 2 = 8, the cube root of 8 is 2.

Given data :

y = ³[tex]\sqrt{x}[/tex] is an increasing function as when the value of x increases the value of y increases

And when the value of x decreases , the value of y also decreases.

Now if we have (x+a) or (x-a) instead of x, the function shall have a horizontal shift.

So it shall either move left or right but shall not flip.

So

y = ³[tex]\sqrt{(x - 8)}[/tex] and  y = ³[tex]\sqrt{(x - 5)}[/tex]

are increasing functions.

Only when x becomes -x, that the function shall flip & shall become a decreasing function.

But then it must be - (x-a) or -(x+a) inside.

So

y = ³[tex]\sqrt{-(5 - x)}[/tex] is also increasing

Only

y = ³[tex]-\sqrt{(x + 5)}[/tex] is a decreasing function.

Option D) is the right answer.

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What is an inverse proportional graph?

Answers

Inversely proportional graphs are reciprocal graphs consisting of one smooth curve in the first quadrant only.

When one quantity grows, the other quantity decreases, and vice versa, this is known as an inverse proportion. Indirect proportion is another name for inverse proportion.

Consider a task like painting a fence as an illustration. The amount of time it takes to complete the task lowers as the number of employees rises. The amount of time it takes to complete the task grows as the number of workers reduces.

If y  is inversely proportional to x then we write y = 1/x

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PLEASE HELP! - FIND THE VALUE OF X! - PLEASE PLEASE PLEASE SHOW YOUR WORK I WILL MARK YOUR BRAINLIST!! MY TEACHER IS REALLY STRICT ABOUT SHOWING WORK. YOU WILL GET 20 POINTS! :)

Answers

26- x= 50 because a triangle adds up to 180 and there is a right angle which equals 90 so 180-90=90 then we know one angle is 40 so 90-40=x
27- same ordeal 180-25=155 155-20=135 x=135
28- 180-130=50 50-30=20 x=20
29- 180-95=85 85-40=45 x=45

Answer:

1. 50°

2.135

3.20°

4.45°

Step-by-step explanation:

1. A right angle adds up to 90 degrees adding that with 40 degrees you get 130. When you subtract the with 180 because a triangle add up to 180 you get 50°. 90+40=130 180-130=50 (might be better in column method.)

2.Add both 20 and 25 to get 45 and subtract your answer with 180 because triangles add up to 180. 20+25=45 180-45=135(might be better in column method)

3.Add 130 and 30 to get 160. Subtract 180 by your answer and get 20.

130+30=160 180-160=20(might be better in column method)

4. Add 95+40 and subtract your answer by 180. 180 subtracted by 135 is 45.

95+40=135 180-135=45(might be better in column method)

DIG DEEPER! A cube is removed from a rectangular prism. Find the surface area of the figure after removing the cube.


A rectangular prism with length 9 feet, width 8 feet, and height 5 feet. A cubic hollow runs to the height of the rectangular prism and has the side length of 5 feet.


The surface area is ______ square feet

Answers

The surface area of the figure after a cubic hollow runs to the height of the rectangular prism is 364 square feet.

The surface area is 364 square feet.

Find the surface area of the rectangular prism.

To do this, use the formula for the surface area of a rectangular prism:

(2 x length x width) + (2 x width x height) + (2 x length x height)

In this case, the length is 9 feet, the width is 8 feet, and the height is 5 feet. Plugging these values into the formula gives:

= (2 × 9 × 5) + (2 × 8 × 5) + (2 × 9 × 8)

= 314 square feet

When a cubic hollow runs to the height of the rectangular prism and has the side length of 5 feet, 2 cubic faces is removed and 4 cubic faces added to the surface area of the resultant solid. So

surface area = 314 - 2×5² + 4×5²

= 314 + 2×5²

= 314 + 50

= 364 square feet

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please no links or anything except the correct answer, please!

Answers

Answer:

cosS is 33/65

Step-by-step explanation:

(Need asap plz)

You want to know the mean number of shirts students in your county own. At each of five schools you randomly survey ten students. Your results are shown. Use all five samples to make one estimate for the mean number of shirts students in your county own.

A: 14, 12, 7, 9, 8, 5, 10, 22, 25, 10
B: 10, 12, 15, 12, 9, 6, 5, 10 11, 7
C: 12, 15, 14, 13, 19, 17, 15, 9, 9, 9
D: 9, 5, 10, 12, 11, 15, 16, 14, 9, 8
E: 16, 11, 14, 13, 19, 8, 16, 15, 15, 13

__ Shirts

Answers

A: 14+12+7+9+8+5+10+22+25+10 =122÷10=  12.2

B: 9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25 = 16.75

C:12, 15, 14, 13, 19, 17, 15, 9, 9, 9 = 13.2

D:  9, 5, 10, 12, 11, 15, 16, 14, 9, 8 = 10.9

E: 16, 11, 14, 13, 19, 8, 16, 15, 15, 13 = 14.5

The total mean is 67.55 shirts ,which also goes to 8

Your answer is 8 !

Anjali spent half her weekly allowance at the movies. To earn more money her parents let her clean the gutters for $5. What is her weekly allowance of she ended with $12? (do NOT use $ in your answer. Numbers only)

Answers

Answer:

14 dollars

Step-by-step explanation:

Anjali had 12 dollars after recieving the 5. So in order to find out how much she had before cleaning the gutters, we substract those 5 dollars from the 12. That leaves us with 7 dollars. This is the amount of money she had after spending half at the movies, and before cleaning the gutters. Which mean's it's half of her allowance. 7 x 2 is 14, which is your answer! :)

The marked price of a computer is Rs. 60000. If allowing a% discount on the marked price and adding a% VAT, the price of the computer will be Rs. 58986. Find the rate of VAT.​

Answers

The problem can be solved using algebra. Let's say the discount rate is x, then the price after discount is:

60000 (1 - x/100)

The price after VAT is:

60000 (1 - x/100) (1 + y/100) = 58986

Where y is the rate of VAT.

Rearranging the equation we get:

(1 - x/100) (1 + y/100) = 58986/60000

Multiply both sides by 100 to get rid of the fractions:

100 (1 - x/100) (1 + y/100) = 981

Expanding and grouping like terms, we get:

100 - x + 100y - xy = 981

We can see that x is in two terms, so we can move one side of the equation and get:

100 - x + 100y = 981 + x

x = (981 + x - 100 + 100y)/100 = (981 + xy - 100y)/100

Now we have x in only one term and we know the value of x is 10%, so we can substitute it:

10 + 10y = 9.81

Solving for y we can find that y = 0.81 or 81%

So the VAT rate is 81%

Determine the surface area of a sphere, in terms of pi, Given a radius of 15 inches

Answers

Answer:

900π

Step-by-step explanation:

surface area of a sphere: 4πr²

=> 4 × π × 15²

=> 900π

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