Which of the following is a point-slope equation of a line that passes through
the points (5,2) and (-1,-6)?
O A. y-2-(X-5)
O B. y-2--x-5)
O C. y-2--|(x-5
OD. y-2-(x-5)
To find the equation in point-slope of a line passing through two points, we can use the formula: [tex]y - y₁ = m(x - x₁)[/tex] Where (x₁, y₁) are the coordinates of one point, m is the slope of the line, and (x, y) are the coordinates of any other point on the line and [tex]y-2-(x-5)[/tex] Therefore the correct option is D.
Given that the two points are (5,2) and (-1,-6), we can substitute these values into the formula: [tex]y - 2 = m(x - 5)[/tex](using point 1: ([tex]5,2)) y + 6 = m(x + 1[/tex]) (using point 2: (-1,-6)) Now, let's simplify the equation: y = mx - 5m + 2 (equation 1) y = mx + m - 6 (equation 2) From equations 1 and 2, we can determine that the expected point-slope equation will have the form y - 2 = m(x - 5),
which matches option D. Therefore, the correct point-slope equation of the line passing through the points (5,2) and (-1,-6) is: y - 2 = m(x - 5)
Hence the correct option is D
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Mrs. Jones places 3 orders for school T-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts. How many T-shirt does Mrs.Jones order?
Answer:
816 T-shirts
Step-by-step explanation:
16 boxes * 17 shirts = 272 shirts total in 16 boxes
272 shirts * 3 orders = 816 shirts
What is the partial fraction decomposition of 11x-38/(2x-5)(x-4)
Answer:
D
Step-by-step explanation:
7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)
What is Fraction?A fraction represents a part of a whole.
We need to write the partial fraction decomposition of 11x-38/(2x-5)(x-4)
(11x-38)/(2x-5)(x-4)=A/2x-5+B/x-4
11x-38=A(x-4)+B(2x-5)
11x-38=Ax-4A+2Bx-5B
We need to find the values of A and B
Compare the coefficients of x
11=A+2B
A=11-2B
Compare the constants
-38=-4A-5B
-38=-4(11-2B)-5B
-38=-44+8B-5B
-38=-44+3B
-38+44=3B
6=3B
Divide both sides by 3
B=2
Now A=11-2(2)=7
Hence, 7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)
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in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is the value of b, if c=13, a=12?
Answer:
5
Step-by-step explanation:
a=12 (height)
c=13 (hypotenous)
b=? (base)
By using Pythagoras theorm
We have, hypotenous sq=base sq+height sq
Let b =base SO, base sq=hypotenous Sq-height Sq
=>base Sq =13sq-12sq
Base Sq =169-144
Base Sq =25
Base =5 (shifting the sq)....
Hope it's helpful
If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?
Answer :
R = 6.25%
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.
find the answer for 10 + 10
Answer:20
Step-by-step explanation:
Please help I can’t figure this out
Answer:
x+63=15x-21, 14x=84, x=6, based on that NMO=69 and LMO=69 because they must be =
Step-by-step explanation:
Find the slope of the line graphed below.
Answer:
-3/2 I believe is the answer,
Step-by-step explanation:
Notice that the (left to right) line is going down, indicating it is negative.
Now do rise over run. Rise Is up and down, so 3, and run is left and right so 2, -3/2 is your answer, Correct me if I am wrong
On a horizontal number line, -45 is located to the left of -35
Answer:
true
Step-by-step explanation:
on a numberline, -45 is smaller than -32, so therefore -45 is to the left.
An inequality that represents the statement "on a horizontal number line, -45 is located to the left of -35" is -45 < -35.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality uses the less than symbol, <, to indicate that one number is to the left of the other on the number line.
The number on the left side of the inequality is -45, and the number on the right side is -35. This inequality is true because -45 is indeed located to the left of -35 on the number line.
Thus, the inequality that expresses the phrase "on a horizontal number line, -45 is to the left of -35" is -45 < -35.
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The question seems to be incomplete the correct question would be:
On a horizontal number line, -45 is located to the left of -35.
Find an inequality that represents this statement.
Work out (3.42 x 10-7) = (7.5 x 10-6)
Give your answer in standard form.
Answer:
0.24510
Step-by-step explanation:
Please Help fast I don’t know
help need done fast pls.
Answer:
80 degrees
Step-by-step explanation:
Triangle has 180 add the 2 you already have and subtract from 180
What is
125% of
16?
please help me i’m not good at math at all.
Answer:
125% of 16 is 20
Step-by-step explanation:
Hope this helps!
After one week of meals, the bottle of ketchup contains 25% of its original amount. How many ounces are in the bottle after one week?
Answer:
25/7 I think not sure though
what is 1.875 as fraction
Answer:
[tex]1\frac{7}{8}[/tex] or 15/8, 15/8 is an improper fraction
Step-by-step explanation:
or 15/8, but 15/8 is an improper fraction
plz help! will give brainliest!!!
Answer:
A.
Step-by-step explanation:
It has both in it, so its correct
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:
C = 5 over 9(F − 32)
Which of the following formulas correctly solves for F?
F = 9 over 5C + 32
F = 9 over 5C − 32
F = 9C + 32 over 5
F = 9C − 32 over 5
Answer:
F = 9 over 5C + 32
Step-by-step explanation:
Let's consider the following equation that shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.
C = 5 over 9(F − 32)
C = 5/9 (F − 32)
To solve for F, first, we will multiply both sides by 9/5.
C × 9/5 = 5/9 (F − 32) × 9/5
9/5 C = F − 32
Now, we add 32 to both sides.
9/5 C + 32 = F − 32 + 32
9/5 C + 32 = F
F = 9 over 5C + 32
Answer:
F = 9 over 5C + 32
Step-by-step explanation:
X = 3/4. Y = -1/2.
What is x + y?
Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire scored. How many did the scored
Answer:
45
Step-by-step explanation:
yee
Determine the intercepts of the line. 3x + 12
Answer:
Step-by-step explanation:
y=−3x+12
when x=0 then y=12 , the y intercept is (0,12)
when y=0 then -3x+12=0, -3x=-12, x=12/3=4
x intercept =(4,0)
82. If AB has endpoint A (2,13) and midpoint (10, -1) then
give the coordinate of B.
Answer:
3
Step-by-step explanation:
The required coordinates of point B are (18, -15) where AB has endpoint A (2,13) and midpoint (10, -1).
What is the midpoint?The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.
As per the question, we are given that AB has endpoint A (2,13) and midpoint (10, -1)
We can use these coordinates to find the coordinates of point B, which is the midpoint of line segment AB.
Let the coordinates of B would be (x, y)
Substituting the coordinates of points A into the midpoint formula gives us :
10 = (x+2)/2 ; -1 = (y+13)/2
20 = x +2 ; -2 = y + 13
x = 18 ; y = -15
Therefore, the required coordinates of point B are (18, -15).
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Write an equation of the line below
Answer:
ok.
Step-by-step explanation:
y=-1/1x+4. hope this helped :))
Answer: y= -8/8x + 4
or y=-x+4
Step-by-step explanation:
pls respond ill mark brainliest!!!!!!!
Answer:
when your at a red light and it turns green
Answer:
ok
Step-by-step explanation:
a box contains 7 black pencils and 28 blue onew what is the ratio between the black and blue pens
Answer:
1 : 4
Step-by-step explanation:
7 black : 28 blue = 7/28 ---> reduces to 1/4 ---> 1 : 4
The ratio between the black and blue pens [tex]\dfrac{1}{4}[/tex] or 0.25 or 1:4.
Given to us,
Number of black pens box contains = 7,
Number of blue pens box contains = 28,
[tex]\bold{Ratio\ between\ the\ black\ and\ blue\ pens = \dfrac{Number\ of\ black\ pens\ box\ contains}{Number\ of\ blue\ pens\ box\ contain} }[/tex]
Putting in the values we get,
The ratio between the black and blue pens [tex]=\dfrac{7}{28} = \dfrac{1}{4} =0.25[/tex],
Hence, the ratio between the black and blue pens [tex]\dfrac{1}{4}[/tex] or 0.25 or 1:4.
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please answer, what is the solution of the system below? how do you know?
Answer:
(1,3)
Step-by-step explanation:
The solution is where the two lines intersect.
In this graph, it's (1,3)
What is the greatest common factor for 12 and 54? enter your answer in the box.
Answer:
6
Step-by-step explanation:
Factors for 12: 1, 2, 3, 4, 6, 12
Factors for 54: 1, 2, 3, 6, 9, 18, 27, 54
It's 6.
The greatest common factor of the numbers 12 and 54 will be 6.
Given that:
Numbers, 12 and 54
The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The factors of the numbers 12 and 54 are calculated as,
12 = 2² x 3
54 = 2 x 3³
The value of the greatest common factor is calculated as,
GCF = 2 x 3
GCF = 6
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Please help me soon
Can you guys help me find the answer, I’m in 6th grade?
Holly is painting her garage. She estimates it will take her
4.5 hours to complete the job. Her brother Jasper offers to help and can paint at half the rate Holly paints. About how many hours should it take for both siblings to complete the job?
Answer:
3
Step-by-step explanation:
Using the work rate formula (1/Holly's time) + (1/Jasper's time which is twice of Holly's time) = 1/ Total time taken by both
there were 60 people in the town's first annual parade. That number has been growing by about 5% each year. predict the number of people in the towns 25th annual parade
The number of people in the 25th annual parade in the town, can be found to be 203 people
How to find the number of people?The number of people that attend the town parade, has been increasing by 5% each year since the first year. In that first annual parade, 60 people showed up.
The number of people in the 25th parade can be found by the formula:
= Number of people in first parade x ( 1 + growth rate) ^ number of years
= 60 x ( 1 + 5% ) ²⁵
= 60 x 3.3863549408993848167083336666837
= 203 people
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