Answer:
y+5=2(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
The linear function passing through points (3,-5) and (5,- 1) is given by:
y = 2x+ 13.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
y = mx + b
In which the coefficients are described as follows:
• The coefficient m is the slope of the function, representing the rate of change of the function.
• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).
For this problem, the two points that form the function are given as follows:
(3,-5) and (5,- 1)
The slope is given by change in y divided by change in x, hence it is given by:
m = (y₂-y₁)/ (x₂-x₁)
m = (-1+5)/(5-3)
m = 4/2
m = 2
Then:
y = 2x + b.
When x = 3, y = -5, hence we can find the intercept b of the function as follows:
3 = 2 x -5 + b
b = 3+ 10
b = 13
Hence the equation is:
y = 2x+ 13
More can be learned about linear functions :
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Calculate the sales tax for each item.
1. A sweater for $19.99 and a 6% sales tax. _______________________________________
2. A purse for $45.00 and a 5% sales tax.___________________________________________
3. A bicycle for $120.00 and a 7% sales tax.________________________________________
4. A TV for $3000.00 and a 4% sales tax.___________________________________________
5. A radio for $35.00 and a 6% sales tax.____________________________________________
Answer:
$19.99 + $1.19 tax = $21.18$45.00 + $2.25 tax = $45.25$120.00 + $8.40 tax = $128.40$3,000.00 +$120.00 tax = $3,120.00$ 35.00 + $2.10 tax = $37.101. The sales tax of a sweater = $1.2
2. The sales tax of a purse = $2.25
3. The sales tax of a bicycle = $8.4
4. The sales tax of a TV = $120
5. The sales tax of a radio = $2.1
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
Given:
1. A sweater for $19.99 and a 6% sales tax.
The sales tax of a sweater = 19.99 x 0.06 = $1.2
2. A purse for $45.00 and a 5% sales tax.
The sales tax of a purse = 45 x 0.05 = $2.25
3. A bicycle for $120.00 and a 7% sales tax.
The sales tax of a bicycle = 120 x 0.07 = $8.4
4. A TV for $3000.00 and a 4% sales tax.
The sales tax of a TV = 3000 x 0.04 = $120
5. A radio for $35.00 and a 6% sales tax.
The sales tax of a radio = 35 x 0.06 = $2.1
Therefore, all the required sales tax is given above.
To learn more about the percentage;
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Terri has 5 boxes of flower seeds.She wants to give the seeds away to her friends.If she gives 1/8 of a box to each. person, How many people can she give seeds to.
Answer:
40 people
Step-by-step explanation:
simply divide 1/8 from 5 which is 40
5/ 1/8 = 40
5. Write an equivalent expression for (2x + 4)(x-5)
[tex]2x^{2} -10x +4x -20[/tex]
I'm not sure if you need to simplify
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 ft.
hl
Which equation gives the volume of the sphere?
V-011)
2
Answer:
length times width times height
Step-by-step explanation:
The equation for the volume of the sphere is:
V(sphere) = (4/3)πr³
What is a cylinder?A cylinder is a 3-D figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume.
= 3.14 x 2 x 2 x 5
= 62.8 cm³
here,
We have,
If a sphere and a cylinder have the same radius and height, the volume of the cylinder is given by:
V(cylinder) = πr²h
where "r" is the radius of the cylinder, and "h" is the height of the cylinder.
If we know that the volume of the cylinder is 11 ft³, then we can write:
11 = πr²h
We can solve this equation for "h" to get:
h = 11 / (πr²)
Now, the volume of a sphere with radius "r" is given by:
V(sphere) = (4/3)πr³
Substituting the expression for "h" in terms of "r" into the volume formula for the cylinder, we get:
11 = πr²(11 / (πr²))
Simplifying this equation, we get:
11 = 11
This is an identity, which means that it is true for all values of "r".
Therefore, we can substitute any value of "r" into the formula for the volume of the sphere to get the volume of the sphere with the same radius as the cylinder.
Using the formula for the volume of a sphere, we get:
V(sphere) = (4/3)πr³
Thus,
The equation for the volume of the sphere is:
V(sphere) = (4/3)πr³
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Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...
Answer:
25.734
Step of explanation:
tanjent =opposite/adjacent
cosine =adjacent /hypotenuse
sine =opposite /hypotenuse
this use tangent because the opposite number is there and we want to find adjacent
so t =opposite /adjacent
tan25 °=12/ a
a=12/tan25
=25.734
What is 9m + 6 = 87
please help im desperate fwhe
Answer:
m=9
Step-by-step explanation:
9m=81
Answer:
9
Step-by-step explanation:
First you have to get the variable by its self (m). So you will get rid of 6 and since it’s positive you will do negative 6 to cancel it out. But what you do to one side you do to the other, so you will do 87 - 6 and get 81. Now it’s 9m = 81. So then since 9 is next to m that implies multiplcation so you do the opposite of multiplication and dived 9 by both sides. And when you do that you get 9.
if 3 pipes can fill the tank completely in 2 hour then when will 1 pipe fill the tank
Answer:
6 hours
Step-by-step explanation:
What is the slope of the line in the graph?
- 4/3
-3/4
3/4
4/3
Answer:
-3/4
Step-by-step explanation:
slope = rise/run = y2-y1/x2-x1
Please answer this
if you do ill give you my only fans for free
Answer:
first what do you look like???,
Answer:
Forget the account but I think it's A
Step-by-step explanation:
because if you take the number of how long the side lengths are (4.8in) then you times it by how many sides there are on the cube (12 side) and that is 57.6in
No positive but I think so
PLEASE HELP I HAVE A TIME LIMIT I WILL GIVE BRAINLIEST AND 5 STARS show your work rex mixed x liters of fruit syrup with y liters of water to make fruit punch three times the number of liters of water he used is equal to 6 more than twice the number of liters of fruit syrup he used the total number of liters of syrup and water he mixed was 7 liters what is the number of liters of fruit syrup and water that rex added to make the fruit punch
graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5
graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2
graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4
graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3
I don't know if it's right tho :C
Answer:
The amount of fruit syrup Rex added is: 3 liters
and the amount of water he added is: 4 liters.
Step-by-step explanation:
3y = 2x + 6
x + y = 7
y = 7 - x
3(7 - x) = 2x + 6
21 - 3x = 2x + 6
21 - 6 = 2x + 3x
15 = 5x
15/5 = x
3 = x
x + y = 7
3 + y = 7
y = 7 - 3
y = 4
Solution is (3,4)
PLEASE HELP MEEEE!!!!
x is less than or equal to 5 but greater than -2
Answer:
It's gotta be 5. All the possible answers are 1, 2, 3, 4, and 5. Because there are so many the logical way to go is 5
If the sum of the legs of a right triangle is 49cm and the hypotenuse is 41cm find the length of the two legs... without using guess or check.
Please show work
Answer:
I think 42
Step-by-step explanation:
an angle is equal to five times of its complement then what is its measures
Answer:
Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.
Step-by-step explanation:
Write the equation of the line that passes through the points (-9,-4) and (-9,4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
x = -9
Step-by-step explanation:
x = -9 would be the slope because when you see the two points for each coordinate there is no x value but we do see a straight line and we see that there is no y-intercept. So, x= -9 would be the answer. Hope this helps.
Find the area of the figure above.
Answer:
84
Step-by-step explanation:
You do problems like these by finding the area of each shape individually and then adding them together. I first found the area of the rectangle by multiplying 6 in. by 11 in. to get 66 in.^2. I then found the area of the triangle by multiplying length of the base of the triangle which is the same as the short side of the rectangle at 6 in. by the 6 in. height and dividing it by 1/2. This gets 18 and 66+18=84
The price of a technology stock has dropped to $9.63 today. Yesterday's price was 89.76. Find the percentage decrease. Round your answer to the nearest
tenth of a percent.
Answer:
1.33%
Step-by-step explanation:
[tex]Percentage\ change=(\frac{9.76-9.63}{9.76})100\\\\Percentage\ change=(\frac{0.13}{9.76})100\\\\Percentage\ change=1.33\\[/tex]
So the percentage decrease was about 1.33%
Denise lives in a two-story house with a basement. The first story of the house is at ground level. The basement floor is at an elevation of −10.5 feet and the second story floor has an elevation of 12 1/4 feet. Use the absolute value of each elevation to find the distance between the basement floor and the second story floor.
Answer:
22.75 ftStep-by-step explanation:
Given
Elevation of basement = -10.5 ftElevation of first story = 0Elevation of second story = 12 1/4 ftThe distance between basement and second story floors:
|-10.5| + |12 1/4| = 10.5 + 12.25 = 22.75 ftUse the drawing tools to form the correct answer on the number line. Graph the solution set to this inequality
[tex]3x - 12 \geqslant 7x + 4[/tex]
If AB = 19, BC = 16, and m
what is the answer to this?
Answer:
m∠4 = 55°
Step-by-step explanation:
From the figure attached,
m∠DBC = m∠BCA + m∠BAC [Exterior angle of a triangle equals the sum of the remote interior angles]
m∠4 = 30° + 25° = 55°
Therefore, m∠4 = 55° will be the answer.
Is the relation a function?
Answer:
yes
Step-by-step explanation:
For a relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.
Since the relation is a straight line , then each value of x will only map to one unique value of y ( passes the vertical line test )
An experiment is completed where a coin is flipped and a six-sided die (singular for dice) is rolled. The outcomes from the experiment are shown, where H represents heads and T represents tails. H1, H2, H3, H5, H6, T1, T1, T2, T3, T5. What percent of the outcomes included tails with an off number greater than 1? 1.) 16 2/3% 2.) 25% 3.) 33 1/3% 4.) 41 2/3%
Answer:
1) [tex]16\frac{2}{3}[/tex]% or 20%
Step-by-step explanation:
Given that:
An experiment which is carried out by flipping a coin and rolling six sided die.
The outcomes can be:
{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}
As per question statement:
Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)
Total number of outcomes here is 10.
Therefore, to find the percentage, we use the following formula:
[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100[/tex]
[tex]\Rightarrow \dfrac{2}{10}\times 100 = 20\%[/tex]
As per question statement, the answer is 20%.
If we consider all the outcomes, i.e.
{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
Total number of outcomes = 12
The percentage will come out be :
[tex]\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%[/tex]
Determine if the graph is a function or not.
Answer:
No, it is not.
Step-by-step explanation:
Functions do not result in a 90 degree corner. Functions are 100% straight.
Austin borrowed $3000 from the bank at a rate of 2.25% simple interest per year. How much total did he have to pay back after 5 years?
Answer:
Austin will have to pay $33,750 for the simple interest.
Step-by-step explanation:
2.25% into decimal = 0.0225
0.0225 x 3000 = 6750
6750 x 5 = 33750
 write an expression equivalent to 9X +14
Answer:
The correct answer is 9x+14
Step-by-step explanation:
Let's simplify step-by-step.
9x+14
There are no like terms.
THANK YOU SO MUCH FOR THE PERSON ANSWERING THESE
Step-by-step explanation:
18. SAS
side- angle- side
19. SSS
three proportional sides
20.The mid-segment SR of triangle, which joins the midpoints of two sides of triangle, is parallel to the third side of the triangle and half the length of that third side of the triangle.
So s the sides of triangle SFR and GFH are proportional.
21.AAA
two pairs of corresponding angles are congruent and angle B is common.
22.they are not similar because pairs of corresponding angles are not congruent.
96 is not equal to 97 also even not proportional.
23.
x=10
explanation:sides are proportional
26/13=2
so
22/2=11 and 11=2x-9 2x=11+9=20 x=20/2=10
24.
x=11
Because it is given that each pair is similar then we have proportional sides but FM=MG=20 so
LM=MK
50=4x+6
4x=44
x=11
5) 18 x1
A Commutative Property of Addition
B. Additive Identity Property
C Multiplicative Identity Property
Answer:
C
Step-by-step explanation:
hope this helps!!! have a nice day
Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0
C)-4
D)
4
Answer:
4 < x < 12
Took the test
A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.
Answer:
There is no diagram for our observation. Please refine your question next time.
Step-by-step explanation:
Write the equation:
Jerry has a new job and earns a salary of $45, 000. Victoria has a
new job and earns a salary of $54,000. Jerry will receive a salary
increase of $2,500 per year and Victoria will receive a salary increase
of $1,500 per year.