Answers
The equation of the blue line will be
y = 4x -3
The equation of the line that passes through the points (1, 1) and (2, 5) is y = 4x - 3.
We have,
To find the equation of the line that passes through the coordinates (1, 1) and (2, 5), we can use the point-slope form of the equation of a line.
The point-slope form of the equation is:
y - y1 = m(x - x1)
Where (x1, y1) represents one of the given points on the line, and m represents the slope of the line.
First, let's calculate the slope (m) using the given coordinates:
m = (y2 - y1) / (x2 - x1) = (5 - 1) / (2 - 1) = 4 / 1 = 4
Now, we can choose either of the given points and substitute its coordinates into the point-slope form. Let's use (1, 1):
y - 1 = 4(x - 1)
Simplifying the equation:
y - 1 = 4x - 4
y = 4x - 3
Therefore,
The equation of the line that passes through the points (1, 1) and (2, 5) is y = 4x - 3.
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Related Questions
I need to write an equation for the triangle and solve for x
Answers
Select Proportional or Not Proportional to correctly classify each pair of ratios.
Proportional Not Proportional
Answers
Answer:
Proportional
Step-by-step explanation:
Let's test this out. So for example you have the fractions: 12/30 and 18/?
Let's solve for ?
12 - 18
30 - ?
Solve: 30×18÷12=45
In the problem it also said 45 on the bottom, so yah they are proportional.
The graph of p = 400 and the graph of p = 50s - 200 intersect at the point (12,400). If the equation p = 50s - 200 represents the profit, p, based on s sales, what does the intersection best represent? Show work.
Answers
Answer:
This shows that the profit for 12 sales is 400
Step-by-step explanation:
If both graphs intersects then;
p = p
400 = 50s - 200
50s = 400+200
50s = 600
s = 600/50
s = 12
Substitute s =12 into p = 50s-200
p = 50(12) - 200
p = 600-200
p = 400
Hence the intersection (s, p) is (12, 400)
This shows that the profit for 12 sales is 400
The circumference is 25 pi What is the diameter?
Answers
Answer:
d=25
Step-by-step explanation:
d=C/Pi
d=25pi/pi
d=25
Answer:
Diameter = 25
Step-by-step explanation:
The circumference of a circle is 25 pi
Circumference of a circle is given by,
C = 2πr
25π = 2πr
Dividing both sides by 2π
[tex]\frac{25\pi}{2\pi}=\frac{2\pi r}{2\pi}\\\\12.5 = r\\[/tex]
Diameter = 2r
Diameter = 2(12.5)
Diameter = 25
Item 2
Identify the initial amount $a$ and the rate of growth $r$ (as a percent) of the exponential function $y=25\left(1.2\right)^t$ . Evaluate the function when $t=5$ . Round your answer to the nearest tenth.
a=
r= %
when t=5, y=
Answers
Answer:
a = 25
r = 20%
y (5)= 62.2
here you go pro
If sin θ>0 and tan θ<0, in which quadrant does the terminal side of θ lie?
Answers
Answer:
Quadrant IV
Step-by-step explanation:
For an angle in the fourth quadrant the point P has positive x coordinate and negative y coordinate. Therefore: In Quadrant IV, cos(θ) > 0, sin(θ) < 0 and tan(θ) < 0 (Cosine positive). The quadrants in which cosine, sine and tangent are positive are often remembered using a favorite mnemonic.
Find the ratio. Than find and interpret the value of the ratio
Answers
Answer:
The ratio is 3/4: 2
The value of the ratio is 3/8
The amount of club soda is 3/8 times the amount of white grape juice
The ratio of Club soda and White grape juice is 4:2.
The value of the ratio is 2:1.
The amount of club soda is half times the amount of white grape juice.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Club soda = 4 cups
White grape juice = 2 cups
The ratio of Club soda and White grape juice.
= 4:2
The value of the ratio.
= 2:1
The amount of club soda is half times the amount of white grape juice.
Thus,
The ratio is 4:2.
The value of the ratio is 2:1.
The amount of club soda is half times the amount of white grape juice.
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do you like robIox because I do!! i make video and animation on ROBOX
Answers
Answer:
Whats your username I might check you out later.
Step-by-step explanation:
yess robl0x is fun oh and whats your username ill friend you :)
it be much appreciated if anyone could help out
Factor: 16w3 – u4w3
Answers
Answer:
w^3(4 + u^2)(2 + u)(2 - u)
Step-by-step explanation:
6w^3 – u^4w^3
w^3(16 – u^4)
w^3(42 - ((u^2)^2)
w^3(4 + u^2)(4 - u^2)
w^3(4 + u^2)(22 - u^2)
w^3(4 + u^2)(2 + u)(2 - u)
$85 bill before tax
Discount:25%
Tax:6.4%
Answers
Answer:
$67.83
Step-by-step explanation:
Price before tax: $85
Discount: 25%
100% - 25% = 75% = 0.75
Price after discount: 0.75 * $85 = $63.75
Tax: 6.4%
100% + 6.4% = 106.4% = 1.064
Price after discount & tax: 1.064 * $63.75 = $67.83
Answer: $67.83
Emily sold lemonade. Each serving of lemonade was 8 fluid ounces. Which measurement is equivalent to each serving of lemonade Emily sold?
Answers
Answer:
Catch Me Knuckles!
Step-by-step explanation:
Beth is selling tickets for a dinner at her school.
* Adult's tickets cost $6.00 each
Children's tickets cost $4.50 each
* Beth sold a total of 520 tickets
* Beth's ticket sales totaled $2,707.50.
How many tickets of each type were sold?
A. 245 children's tickets, 275 adult's tickets
B. 257 children's tickets, 263 adult's tickets
C. 260 children's tickets, 260 adult's tickets
D. 275 children's tickets, 245 adult's tickets
Answers
Answer:
D
Step-by-step explanation:
check each child answer and multiply by 4.50
check each adult answer and multiply by 6.00
add both answers up
and see which one it is
its not A, B, or C
Answer:
D
Step-by-step explanation:
x-number of children's tickets sold
y-number of adult's tickets sold
x+y=520=>x=520-y
4.5x+6y=2 707.5
45x+60y=27 075
45(520-y)+60y=27 705
15y+23 400=27 705
15y=3 675
y=245=>x=520-y=520-245=275
The cost of a new television is $948. If the value of the television decreases by 4.5% every year, which function models the value of this new television x years after it was purchased?
Answers
Answer:
t(x) = 948(0.955)^x
Answer:A
Step-by-step explanation:
What is the measure of the angle in red?
Answers
Answer:
B
Step-by-step explanation:
The red line is almost 360 degrees.
If you subtract 65 from 360 you get 295
When two straight lines or rays intersect at a shared endpoint, an angle is generated. The measure of the angle in red is 295°. The correct option is B.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
The total angle at a point is always equal to 360°. Given that the measure of the green angle is 65°.
But as it can be seen that the red angle and the green angle together form a complete rotation of 360°. Therefore, the sum of the two angles can be written as,
Red angle + Green angle = 360°
Red angle + 65° = 360°
Red angle = 360° - 65°
Red angle = 295°
Hence, the measure of the angle in red is 295°.
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please help due asap
Answers
Explanation:Pythagorean Theorem
PLS HELP I'LL MARK BRAINLEST
Answers
Answer:
10x+12=132(exterior angle)
10x=132-12
10x=120
x=120/10=12
Suppose y varies directly with x when x is 4, y is 32. What is y when x is -2
Answers
Step-by-step explanation:
Since y varies directly with x,
y = kx, where k is a real constant.
When x = 4, y = 32.
=> (32) = (4)k, k = 8.
Therefore when x = -2,
y = kx = (8)(-2) = -16.
If you were dividing X6 + 4x3 + 2, how many O's would you
need when setting up the top row of your synthetic
division?
Answers
Answer:
how many O's u would use would be 4
Step-by-step explanation:
If 5 pizzas cost $60, how much will 9 pizzas cost?
10
Answers
Answer:
108
Step-by-step explanation:
do 60 divided by 5 and you get 12 so that = 1 pizza then do
12 x 9 to get 108
Answer:
108
Step-by-step explanation:
60 / 5
1 pizza would cost 12
9 × 12 is 108
Please help (geometry) number 11
Answers
Answer:
In the image below
Step-by-step explanation:
ADC=ABC by SAS fact
ADC=ABC corresponding angles of congurrent triangle
May be ot will help.
What is the solution of this equation -4z+7=2y-3
Answers
Answer:
Form 1 question???????
What kind of slope is this?
-5,0
Answers
Mariah bought 5 shirts that each cost the same amount and a pair of jeans that cost $30. She spent a total of $150 at the store. Write an equation to determine the cost of each shirt.
Answers
Answer:
150-30=5x
Step-by-step explanation:
If the total is $150 and a pair of jeans is $30, then you'd subtract them. Since you have to find out how much each shirt is, you'd put 5x on the other side of the equal sign. Then solve for X.
Hope this helps!
An artists creates a scale model of a sculpture with a scale of 2 inches = 5 feet. if the scale moderl of the sculpture measures 8 inches tall, how many feet tall is the actual sculpture?
Answers
Answer:
The actual sculpture is 20 feet.
-
Step-by-step explanation:
[tex] \frac{2 \: inches}{5 \: feet} = \frac{8 \: inches}{x} \\ \\ \frac{40}{2} = \frac{2x}{2} \\ \\ x = 20[/tex]
So apparently the underlined answer is correct. Can somebody explain why? I will give brainliest if I get a good explanation.
Answers
Answer:water
Step-by-step explanation:money
Dividing using synthetic division helppp
Answers
Step 2: Bring down the leading coefficient to the bottom row.
Step 3: Multiply c by the value just written on the bottom row. ...
Step 4: Add the column created in step 3.
What is the solution to the system of equations?
y = 3x - 8
y = 4 - X
Answers
Answer: x=3 , y=1
Step-by-step explanation:i good at that kind of thing
what is u=b+a-k solve for a
Answers
Answer:
a= u -b + k
Step-by-step explanation:
Kyla spends 60 minutes of each day exercising. Let be the number of days that Kyla exercises, and let represent the total minutes of exercise in a given time frame. Show the relationship between the number of days that Kyla exercises and the total minutes that she exercises.
What is the independent variable?
Answers
Answer:
t=60d d is the independent variable
Step-by-step explanation:
Answer
The independent variable is the number of days that Kyla exercises.
Step-by-step explanation:
Choose the two rectangular prisms that have a volume of 36 cm