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
please no links or anything except the correct answer, please!
Answer:
cosS is 33/65
Step-by-step explanation:
What is the coefficient of X²Y in the product 7x² 5y X² 3y )? *?
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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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
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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i need help on this question plz and thanku
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.
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?
Determine the surface area of a sphere, in terms of pi, Given a radius of 15 inches
Answer:
900π
Step-by-step explanation:
surface area of a sphere: 4πr²
=> 4 × π × 15²
=> 900π
8th grade math, Pls help, will mark Brainliest
Answer:this is confusing
Step-by-step explanation:
What is an example of horizontal symmetry?
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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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?
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.
GET POINTS!! JUST ANSWER THIS EASY QUESTION!!
Answer: imma go with b brother
Step-by-step explanation:
−8≤2−10
Can you please help me find it?
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
Given: PS bisects angle RST, 2SP=3SQ, 2ST=3SR
Prove: Triangle STP ~ triangle SRQ
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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12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill ______ holes in 25 minutes.
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.
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.
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%
-(3x squared) simplified
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.
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?
what is the volume of the cylinder below
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]
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
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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What is an inverse proportional graph?
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!!!
This is no confusing please help meeeeh.
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 :)
Write the coordinates of the vertices after a translation 1 unit down.
Answer:
M(4,0)
K(0,5)
L(6,5)
go down one
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! :)
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)
PLEASE JUST HELP ME ( LINKS= REPORT)
Answer:
hexagonal based pyramid
E
7 faces
12 edges
7 vertex
13
15
Hope it helps :)
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)
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! :)
(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
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 !
find Angles in isosceles triangles
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!!
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
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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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?
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.
Simplify the following: (3 + 10i) - (-9 - 4i)
*PLEASE INCLUDE EXPLANATION
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
explain how many different rectangles you can make with a perimeter of 32 units.
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: