Instructions: Match each of the following. Description Part or Function Parent Linear Function Slope-Intercept Form Point-Slope Form Slope y-Intercept A point on the line. y=mx+b||(x1.y) y-y2=m(x-x) m xyavv=x6
Answer
Parent Linear function | y = x
Slope-Intercept form | y = mx + b
Point-slope form | y - y₁ = m (x - x₁)
Slope | m
y-intercept | b
A point on the line | (x₁, y₁)
Explanation
The slope and y-intercept form of the equation of a straight line is given as
y = mx + b
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
b = y-intercept of the line.
The general form of the equation in point-slope form is
y - y₁ = m (x - x₁)
where
y = y-coordinate of a point on the line.
y₁ = This refers to the y-coordinate of a given point on the line
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
x₁ = x-coordinate of the given point on the line
So, we can answer each of these now.
Parent Linear function
y = x
Slope-Intercept form
y = mx + b
Point-slope form
y - y₁ = m (x - x₁)
Slope
m
y-intercept
b
A point on the line
(x₁, y₁)
Hope this Helps!!!
An individual is baking 3 batches of cookies. They used 1.8 oz. of vanilla in one batch of the cookies, 1.25 oz. of vanilla in the second batch and .95 oz. in the third batch. Convert these decimals into fractions, and then put them in ascending order.
Answer:
19/20 , 1 1/4 , 1 4/5
Step-by-step explanation:
1.8 = 1 4/5 (fraction)
1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5
1.25 = 1 1/4 (fraction)
1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4
0.95 = 19/20 (fraction)
0.95 converts to 95/100. This can be simplified to 19/20
Ascending Order (smallest to largest)
smallest - 19/20
middle - 1 1/4
largest - 1 4/5
I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure
A grocery store has the coordinates (-2,-4). The owners of the grocery store plan to build anadditional grocery store at a location that is 5 blocks to the east and 3 blocks to the north of theoriginal store. The distance between each grid unit represents one block. Plot the location of theadditional grocery store on the coordinate grid.
The already existing grocery store is located at point (-2, -4).
The first entry (on the left, i. e., -2) represents the horizontal (west-east) value on the coordinate grid. While the second entry (on the right, -4) represents the vertical (south-north) value on the coordinate grid:
Then, after moving 5 blocks to the east (right), the horizontal coordinate of the additional grocery store will be:
-2 + 5 = 3
And after moving 3 blocks to the north (up), the vertical coordinate of the additional grocery store will be:
-4 + 3 = -1
So, the coordinates of the additional grocery store will be (3, -1). Plotting this point, we obtain:
NEED NOW PLEASE.....
Factor: 24x^2 + 12x - 12
Which of the following best describes the graph below?
54 -3 -2 -1
PINT
123 to
3
A. It is not a function.
B. It is a many-to-one function.
C. It is a function, but it is not one-to-one.
D. It is a one-to-one function.
8.2 % of what number is $2.13?
Answer:
Step-by-step explanation:
174
Answer:
i believe its 26
Step-by-step explanation:
please mark brainliest if right
There are four defenders on a soccer team. If this represents 20 percent of the players on the team, which equation can be used to find the total number of players on the team? StartFraction 4 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 4 Over 20 EndFraction StartFraction 4 times 20 Over 100 times 20 EndFraction = StartFraction 80 Over 200 EndFraction StartFraction 20 times 25 Over 4 times 25 EndFraction = StartFraction 500 Over 100 EndFraction StartFraction 20 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 4 Over 20 EndFraction
SO THE ANSWER IS D TO HELP YOU GUYS
Answer:
D
Step-by-step explanation:
He is correct
Answer:
the answer is d
Step-by-step explanation:
why did he/she post the question if they knew the answer?
Elena collects data to investigate the relationship between the number of bananas she buys at the store, , and the total cost of the bananas, . Which value for the correlation coefficient is most likely to match a line of best fit of the form for this situation?
The correlation coefficient that is most likely to match a line of best fit of the form y = mx + b for this situation is of:
0.9.
What is a correlation coefficient?The correlation coefficient is an index that measures correlation between two variables, assuming numeric values between -1 and 1.
If the correlation coefficient is positive, the relation is positive, that is, they are direct proportional. If the correlation coefficient is negative, they are inverse proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship between the two variables is classified as strong.
In the context of this problem, the variables are listed as follows:
Number of bananas bought.Total price of the bananas.The total price increases with the number of bananas bought, and there is a strong positive relationship between these two variables, hence the coefficient should be greater than 0.6 and the correct option is:
0.9.
Missing InformationThe problem is given by the image shown at the end of the answer.
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I WILL GIVE BRAINLY TO WHOEVER GETS THIS RIGHT PLAESE HELPPP. LOOK AT THE PICTURE.
Answer:
10.99
Step-by-step explanation:
I JUST HAD THAT AND GOT IT RIGHT TRUST ME NOW GIVE ME BRAINLY I SWEARRR
Help me explanation
Answer:
number 2 - x=50, y =69
Step-by-step explanation:
Angles in a polygon of a pentagon add up to 540
so 180 +125+98+98 = 429
540 - 429 = 111
now you do x = 50 so
2 times 50 which is 100
then plus 11 which is 111
The next model of a sports car will cost 12.8% more than the current model. The current model costs $59,000. How much will the price increase in dollars? What will be the price of the next model?
Increase in price: $
Price of next model: $
The increase in the price of the model is $7552 the price of the next model is $66552.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the next model of a sports car will cost 12.8% more than the current model. The current model costs $59,000.
Increased price = 59000 x 12.8%
Increases price = 59000 x 12.8 / 100
Increased price = $7552
Price of next model = 59000 + 7552
Price of next model = $66552
Therefore, the increase in the price of the model is $7552 the price of the next model is $66552.
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At Sidney's Hats, 84% of the 50 hats are baseball caps. How many baseball caps are there?
Answer:
thats what i said
Step-by-step explanation:
I don’t think I got the right answer?
Answer:
it's third option the one who says 10 units up
The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
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The sum of two numbers is -10.5. Can one of these addens be positive and the other negative? Provide an example to prove your answer.
Step-by-step explanation:
In order for the solution of a problem to be negative, you need one negative number and one positive number. Same goes for when having a positive sum, you know that the equation has an even number of negative numbers.
-6 + 3 = -3
You get -3 because you have both a positive and negative number in the equation.
To make 2 batches of brownies, Ed needs eggs. How many eggs are needed per batch of brownies?
Answer:
The answer is 2 eggs per brownie.
Step-by-step explanation:
What is the answer??????????
Answer:
91
Step-by-step explanation:
We just have to put in the value of x into the equation.
8 - 4[x - (2x² + 5)] + 3
= 8 - 4[3 - (2×3² + 5)] + 3
= 8 - 4[3 - (2×9 + 5)] + 3
= 8 - 4[3 - (18 + 5)] + 3
= 8 - 4(3 -23) + 3
= 8 - 4(-20) + 3
= 8 - (-80) + 3
= 8 + 80 + 3
= 91
Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test
Answer:
Two lines are parallel lines if they do not intersect. The slopes of the lines are the same. ... Coincident lines are the same line. Two lines are perpendicular lines if they intersect at right angles.
Help will give Brainly points due in a hour!!
you can compare the length of sides of both the triangles...
Answer:
see explanation
Step-by-step explanation:
We can show that Δ ABC and Δ DEF are similar by the SSS postulate
If the ratios of the 3 pairs of corresponding sides are equal , then the triangles are similar.
\(\frac{AB}{DE}\) = \(\frac{4}{6}\) = \(\frac{2}{3}\)
\(\frac{AC}{DF}\) = \(\frac{8}{12}\) = \(\frac{2}{3}\)
\(\frac{BC}{EF }\) = \(\frac{5}{7.5}\) = \(\frac{2}{3}\)
Then by the SSS postulate the triangles are similar
Since the triangles are similar then corresponding angles are congruent, so
∠ D = ∠ A
Solve for 2. Round to the nearest tenth of a degree, if necessary.
L
90
K
80
J
Answer:
41.6
Step-by-step explanation:
got it wrong and it showed me the right answer
The midpoint of segment QR is M(-2, 9). One end point of segment QR is Q(-8, 12). Find the coordinates of the other endpoint, R.
Here,
The midpoint of segment QR is M
m(-2,9) x3=-2,y3=9
Q=(-8,12)x1=-8,y1=12
R=x2,y2
we know that,
\(\tt{ m=\dfrac{Q+R}{2} }\) ⠀
So,
x3=\(\tt{\dfrac{x1+x2}{2} }\) ⠀
\(\tt{-2=\dfrac{-8+x2}{2} }\) ⠀
\(\tt{-2×2=-8+x2 }\) ⠀
\(\tt{x2=8-4 }\) ⠀
\(\tt{x2=4 }\) ⠀
x2=4
now we find the y coordinate y2.
y3=\(\tt{\dfrac{y1+y2}{2} }\) ⠀
\(\tt{9=\dfrac{12+y2}{2} }\) ⠀
\(\tt{9×2=12+y2 }\) ⠀
\(\tt{y2=18-12 }\) ⠀
\(\tt{y2=6 }\) ⠀
y2=6
Now we get the two coordinate of R
so,
R=(x2,y2)=(4,6)
simplify the equation
4 power to 2 . 4 power to 4
Answer:
4^6
Step-by-step explanation:
Because they have the same base (4) and are being multiplied together, the powers simply add together so:
4^2 * 4^4 = 4^(2+4) =4^6
Hope this helped!
Need help placing in correct spot
The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.
Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.
Hence,
∠3 = 180 - 62 = 118 degrees(angles on a straight line)
∠1 ≅ ∠3 (vertically opposite angles)
∠7 ≅ ∠3 (alternate interior angles)
∠5 ≅ ∠7 (vertically opposite angles)
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Which postulate or theorem can be used to prove that AABC = ADCB?
SSS
ASA
SAS
AAS
SSS congruency criteria can be used here to prove ∆ABC ≅ ∆DCB
Solution :In ∆ABC and ∆DCB
AB = CD (given)
AC = BD (given)
BC = BC (common)
So, by SSS congruency criteria,
∆ABC ≅ ∆DCB
is this right? please correct me if I'm wrong.
Answer:
Yes it seems that it is right
NEED ANSWERS ASAP PLEASE
Answer:
72
Step-by-step explanation:
u can see its a right triangle u can see its kinda like 3-4-5 right triangle
75/5 = 15
21/3 = 7
ok so it doesn't work
now
75^2 - 21^2 = 5184
square root of 5184 = 72
solve the following question
14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°
What is a trigonometric equation?A trigonometric equation is an equation that contains a trigonometric ration.
14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows
Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,
We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that
(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°
= 1² + 1² - 4cos²45°
We know that cos45° = 1/√2. So, we have
1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²
= 1 + 1 + 4/2
= 2 + 2
= 4
So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4
15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows
Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1
We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that
2(cos²θ - sin²θ) = 1
2(cos2θ) = 1
cos2θ = 1/2
Taking inverse cosine, we have that
2θ = cos⁻¹(1/2)
2θ = 30°
θ = 30°/2
θ = 15°
So, θ = 15°
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5/8 entre 6 personas
Based on the information we can infer that 5/8 between 6 people is equal to 15/24.
How to divide 5/8 between 6 people?To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.
5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder
So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:
(5/4) x 6 = 30/4 = 15/2 = 15/24
So each person would receive 15/24 of the original amount.
Note: Here is the question in English:
5/8 divided in 6 people
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A community would like to add a brick paver border around their swimming pool. They created the following image to represent the pool with the border. A large rectangle with a length of 48 feet and a width of 28 feet. Inside of it is another rectangle with a length of 32 feet and a width of 12 feet. Part A: Find the total area of the brick paver border that surrounds the 12 ft by 32 ft pool. Show your work. (2 points) Part B: If brick pavers cost $8 per square foot, what is the total cost of the brick pavers needed for this project? Explain. (2 points)
Part A: The total area of the brick paver border is \(960\) square feet.
Part B: The total cost of the brick pavers needed for this project is $\(7,680\).
Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.
The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.
Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).
Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).
Note: The calculations provided assume that the border consists of a single layer of brick pavers.
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