Find equation of a line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
M = -5, (-4,-8)
Answers
Answer:
5x + y = -28
Step-by-step explanation:
Hi there!
We're given that a line has a slope of -5 and contains the point (-4, -8)
We want to write the equation of this line in standard form
Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative
Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept
As we are already given the slope, we can immediately plug that in for m in y=mx+b
y=-5x+b
Now to find b:
As the equation passes through the point (-4, -8), we can use its values to help solve for b
Substitute -4 as x and -8 as y:
-8 = -5(-4) + b
Multiply
-8 = 20 + b
Subtract 20 from both sides
-8 = 20 + b
-20 -20
__________
-28 = b
substitute -28 as b
y = -5x - 28
We found the equation in slope-intercept form, but remember, we want it in standard form
In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides
y = -5x - 28
+5x +5x
_________
5x + y = -28
Hope this helps!
Related Questions
label the graph as having positive correlation negative correlation or no correlation
Answers
Given the variables y and x
If these variables have a negative linear correlation, the slope of the graphic (correlation coefficient) will be negative:
ρ<0
If the variables x and y have a positive linear correlation, the slope of the graphic will be positive:
ρ>0
If the variables x and y have are not correlated, the slope of the graphic will be zero:
ρ=0
For the given graph, the variable y increases together with the variable x, the slope of the graph is positive.
So you can conclude that there is a positive correlation between these two variables.
Ten persons went to a restaurant. One of them ordered soda, four ordered coffee, and the other five ordered tea. How many ways waiter can give them the orders
Answers
Answer:
One way.
Step-by-step explanation:
Because they all asked at the same time.
2r(2.59 + 10) - 3(r + 4) + s(r - 1)?
equivalent?
Answers
Answer:
2.30 is going to be your anwer
Step-by-step explanation:
The figure shown is composed of two cubes.
Which equation shows the surface area
ne figure?
SA = 6(5-5)+6(3-3)-2(3-3)
What is the surface area of
the figure shown?
cm²
3cm
5c
Answers
186 cm³ will be the surface area of the given figure.
To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.
Thus,
Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.
So,
Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)
Total surface area = 150+54-18
Total surface area = 186
Therefore, the surface area of the given figure will be 186 cm³.
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what’s the correct radical form of b^1/5
Answers
The correct radical form of b^1/5 is 5^√b.
What is the radical form?Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.
A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
Explanation:
Convert to radical form using the formula
a^x/n=n^√a^x
5^√b.
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Find the absolute value|9\5|
Answers
Absolute value simply means the number must be made positive. Since 9/5 is positive already the absolute value remains 9/5
QUESTION 3 1 POINT
A new energy drink advertises 106 calories for 7 oz. How many calories are in 21 oz of the drink?
Answers
107 x 3 = 321
Cody made deposits of $45, $18, and $27 into his checking account. He then wrote checks for $21 and $93. What would the expression look like if you used integer addition?
Answers
Answer:
-90 - (-144)
Step-by-step explanation:
Here you go!
Since we're depositing, you'll add the three numbers.
45 + 27 + 18 = $90
Cody deposits 90 dollars in total.
If you write checks, the numbers go down. So you'll add them, and then subtract that by the 90 dollars Cody deposits.
You'll end up with:
45 + 27 + 18 - (21 + 93)
This can simplify to..
90 - (21 + 93)
But wait! Let's add what's in the parenthesis!
93 + 21 = 144
90 - 144 = t
t = -54
Solving this equation will give you: -54
But the simple way is -90 - (-144)
What is the area of the circle above?
Answers
Answer:
201.6
i think
Answer: I am pretty sure its A
Step-by-step explanation:
What is the present value of $ 2,500 per year for 10 years discounted back to the present at 7 percent?
Answers
Answer:
$17,559
Step-by-step explanation:
The present value of $2,500 per year for 10 years, discounted back to the present at 7 percent, is approximately $17,559.
6.X + 4 using the algebra
tiles.
What tiles need to be added to both sides to remove the
smaller x-coefficient?
What tiles need to be added to both sides to remove the
constant from the right side of the equation?
What is the solution?
Answers
Answer:
i
Step-by-step explanation:
is
coooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool
Answer:
What tiles need to be added to both sides to remove the smaller x-coefficient?
✔ 5 negative x-tiles
What tiles need to be added to both sides to remove the constant from the right side of the equation?
✔ 4 negative unit tiles
What is the solution?
✔ x = –6
Step-by-step explanation:
A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1320 feet, what are the dimensions of the field?
A) Write an equation you can use to answer the given question. Let w be the width of the field.
The equation is ___
(Make sure you use the correct variable.)
B) Use your equation to find the dimensions of the field.
The width of the field is ___ feet.
The length of the field is ___ feet.
Answers
The equation is P = 2 ( L + W )
The width of the field is 60 feet.
The length of the field is 600 feet.
Given,
A rectangular field is ten times as long as it is wide.
The perimeter of the field is 1320 feet.
What is the area of a rectangle?Area of rectangle = Length x wide.
Perimeter = 2 ( Length + width )
Let the length of the rectangle be L
Width = W
L = 10W
Perimeter + 2 ( L + W )
1320 = 2 ( 10W + W )
Divide it by 2 into both sides.
1320/2 = 2/2 x 11W
660 = 11W
Divide both sides by 11.
660/11 = 11/11 W
60 = W
W = 60 feet
L = 10W = 10 X 60 = 600 feet
L = 600 feet
Thus,
The equation is P = 2 ( L + W )
The width of the field is 60 feet.
The length of the field is 600 feet.
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A health insurance company advertises on television, on radio, and in the local newspaper. The marketing department has an advertising budget of $46,400 per month. A television ad costs $1000, a radio ad costs $200, and a newspaper ad costs $600. The department wants to run 64 ads per month, and have as many television ads as radio and newspaper ads combined. How many of each type of ad can the department run each month?
Answers
The number of each type of ad that the department can run each month are:
TV Ads = 32
Radio Ads = 12
News Ads = 20
How to solve Simultaneous equation word problems?x = number of tv ads
y = number of radio ads
z = number of news ads
Two formulas are indicated.
x + y + z = 64
1000x + 200y + 600z = 46400
they want as many tv ads as radio and news ads combined.
equation for that is x = y + z
since x = y + z, replace x with y + z in both equations to get;
y + z + y + z = 64
1000 * (y + z) + 200 * y + 600 * z = 46400
combine like terms and simplify to get:
2y + 2z = 64
1000y + 1000z + 200y + 600z = 46400
combine like terms again to get:
2y + 2z = 64
1200y + 1600z = 46400
Solving simultaneously gives:
y = 12
z = 20
Thus:
x = 12 + 20
x = 32
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Both numbers have three significant figures. How many significant figures should be recorded for the answer to the division problem below?
\(43.6 \div 21.2\)
= [?] significant figures
Answers
Answer:
8 significant figures should be provided.
Step-by-step explanation:
I believe I am correct, but check your answer anyways.
An office building worth $1 million when completed in 2010 is being depreciated linearly over 50 years. What was the book value of the building in 2014? What will it be in 2022? (Assume the scrap value is $0.)
Answers
Answer:
To calculate the book value of the building, we need to calculate the annual depreciation amount and multiply it by the number of years elapsed since the building was completed.
The annual depreciation amount is calculated as: $1 million / 50 years = $20,000
In 2014, the book value of the building was: $1 million - ($20,000 * (2014 - 2010)) = $1 million - ($20,000 * 4) = $960,000
In 2022, the book value of the building will be: $1 million - ($20,000 * (2022 - 2010)) = $1 million - ($20,000 * 12) = $680,000
if an angle measures 18° what is the measure of its complement
Answers
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
Complement Angle = 90°= 90 - 18
= 72
--> 72° is the complement angle of 18°
Hope it helps!
mark me brainliest pls.....
Follow me!
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?
about 0.52 of the field
about 0.64 of the field
about 0.71 of the field
about 0.87 of the field
Drag each tile to the correct cell in the table.
Answers
Answer:
About 0.71 of the field
Answer:
The answer is .71 of the field
Step-by-step explanation:
Hopefully this helps you
pls mark brainlest
What is 5a^2b + 15ab^2 factories fully
Answers
Answer:
\(5 {a}^{2} b + 15a {b}^{2} = \)
\(5ab(a + 3b)\)
Follow the guided instructions below to rotate the figure 90° counter-clockwise about
the origin.
Draw a circle centered at the center of rotation, such that one of the vertices
of the figure is on the circle.
10 9 -8
5 4 3 2
10
3
5
9 10
-X
Answers
When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.
What are the new coordinates?The old coordinate where were rotated are:
A(-5,8)
B (-1, 7)
C(-3, 5)
D(-4, 2)
To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x -coordinate.
The new coordinates are after 90 degrees, counterclockwise are
A' = (-8, -5)
B' = (-7, -1)
C' = (-5, -3)
D' = (-2, -4)
See attached image.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
I could really use some help with this
Answers
Answer:
see explanation
Step-by-step explanation:
f(x + 2) is a horizontal translation of f(x) 2 units to the left
f(x - 2) is a horizontal translation of f(x) 2 units to the right
Given
f(x) = x³ , then
f(x + 2) = f(x + 2)³ is a horizontal translation of f(x) 2 units left
f(x - 2) = (x - 2)³ is a horizontal translation of f(x) 2 units right
One urn contains 7 blue balls and 13 white balls, and a second urn contains 14 blue balls and 5 white balls. An urn is selected at random, and a ball is chosen from the urn. (a) Let B, be the event that the first urn is chosen, B, be the event that the second urn is chosen, and A be the event that the chosen ball is blue. Find each of the following. P(A | B1) P(A | B2) P(A n B2) P(A n B2) What is the probability (as a %) that the chosen ball is blue? (Round your answer to one decimal place.) % (b) If the chosen ball is blue, what is the probability (as a %) that it came from the first urn? (Round your answer to one decimal place.)
Answers
The probability that the chosen ball is blue is 55.3%.
If the chosen ball is blue, the probability would be 3.33% that it came from the first urn.
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
(a) To find P(A|B1), we use the formula P(A|B) = P(A and B)/P(B).
In this case, P(A and B1) is the probability of choosing a blue ball from the first urn, which is 7/20.
The probability of choosing the first urn is 1/2, so P(B1) = 1/2.
Plugging these values into the formula gives us P(A|B1) = (7/20)/(1/2) = 14/20 = 7/10.
To find P(A|B2), we use the same formula.
In this case, P(A and B2) is the probability of choosing a blue ball from the second urn, which is 14/19.
The probability of choosing the second urn is 1/2, so P(B2) = 1/2.
Plugging these values into the formula gives us P(A|B2) = (14/19)/(1/2) = 28/19.
To find P(A and B2), we use the formula P(A and B) = P(A|B) * P(B).
In this case, we already know that P(A|B2) = 28/19 and P(B2) = 1/2, so P(A and B2) = (28/19) * (1/2) = 28/38.
To find P(A or B2), we use the formula P(A or B) = P(A) + P(B) - P(A and B).
In this case, P(A) is the probability of choosing a blue ball overall, which is 21/38.
P(B2) is the probability of choosing the second urn, which is 1/2.
P(A and B2) is the probability of choosing a blue ball from the second urn, which is 28/38.
Plugging these values into the formula gives us P(A or B2) = 21/38 + 1/2 - 28/38 = 15/38.
The probability that the chosen ball is blue is P(A) = 21/38 = 55.3%.
(b) If the chosen ball is blue, the probability that it came from the first urn is P(B1|A) = P(B1 and A)/P(A).
We already know that P(B1 and A) is the probability of choosing a blue ball from the first urn, which is 7/20.
We also know that P(A) is the probability of choosing a blue ball overall, which is 21/38.
Plugging these values into the formula gives us P(B1|A) = (7/20)/(21/38) = 7/21.
This probability is equal to 33.3%.
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Nataile has one pound of hamburger. If she uses 2/3 Ib on Monday and 1/4 Ib on Tuesday. How much hamburger will be left over?
Answers
What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answers
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive
A student measures the mass of a sample is 2.7 grams. What is the percent error, given that the correct mass is 2.58 grams? Round to the nearest hundredth of a percent.
Answers
Answer:
the percent error in the student's measurement is 4.65%.
Step-by-step explanation:
The percent error can be calculated using the formula:
| (measured value - actual value) / actual value | * 100%
In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:
| (2.7 - 2.58) / 2.58 | * 100% = 4.65%
Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.
Therefore, the percent error in the student's measurement is 4.65%.
What percent is modeled by the grid? A grid model with 100 squares. 33What percent is modeled by the grid? A grid model with 100 squares. 33 squares are shaded. 23% 30% 33% 40% squares are shaded. 23% 30% 33% 40%
Answers
Answer:
33%
Step-by-step explanation:
There are 33 squares out of 100 that are shaded
33/100
Percent means out of 100
33%
Or
A ratio that compares a number to 100 can be written as a percent. So in this problem, since the figure has 33 out of 100 boxes shaded, we have the ratio 33/100 which can be written as 33%.
Two less than a number is 11
Answers
Answer: 13
Step-by-step explanation:
PLEASE help
PLEASE
Answers
Answer:
7) $57.2 (Multiply 65 by 0.12. You get $7.8. Finally, subtract 7.8 from 65.)
8) $20 (Multiply 29.99 by 0.3333. Subtract 9.99 from 29)
9) $35.7 (Do the same steps as above)
10) $276.675 (Do the same steps as above)
11) The decimal form of 57% is 0.57
12) cost= c×0.57
13) $70.65
14) $25.65 was added
Which statement is NOT true
A All rational numbers are integers.
B All integers are rational numbers.
C All whole numbers are rational numbers.
D All whole numbers are integers
Answers
D is not true
Step-by-step explanation:
D is not true
There was 1/2. Of a cake left over from Hannah’s birthday party when she and her sister came home from school the next day they ate 2/3 of the left over cake for a snak. How much of the whole cake did the girls eat
Answers
Answer:
1/3
Step-by-step explanation:
This problem would be 1/2 x 2/3. The answer would be 1x2 over 2x3.
Wei wants to prove that the segment joining midpoints of two sides of a
triangle is parallel to the third side.
Select the appropriate rephrased statement for Wei's proof.
Answers
Now we know PR∥QX , according to construction with transversal line TX.
∠PTS=∠QXS (Alternate angle)
In △PTS and △QSX
∠PTS=∠QXS (Alternate angle)
∠PST=∠QSX(vertically opposite angles)
PS=SQ(S is mid point of PQ)
△PTS≅△QSX(AAS rule)
So, TP=QX(CPCT)
As we know, TP=TR (T is midpoint)
Hence, TR=QX
Now, in quadrilateral TSQR
TS∥QR
Hence proved.
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