Answers
Answer:
y = 5x -23
Step-by-step explanation:
Alright, for this, we need the slope and the y intercept. First, the slope.
So to find the slope, find any two points that the line goes over first. For example, the dotted point (5,2). Now for the other one, (4,-3) can be used.
Look for when the line is crossing over the points of the square graph, as this will help you with the next part.
For the next part, to find the slope, this is going to see how much the line has done up/down for how much we move forward or backwards on the line. With this, the equation:
y2-y1 / x2-x1 can be used, with the 2s and 1s being just to show that there are 2 separate points being used for it.
Next, plug it in with what's known:
2-(-3) / 5-4
5 / -1
Slope is 5.
Now, the y intercept needs to be found. To get this, we need the y value for where the line passes over where the x value is 0.
By knowing that the slope is 5, we can walk backwards to the y intercept to get this value. With this, for every number in x walked back, it will go down 5 y values:
5, 2 (Do -1, -5)
4, -3 (Do -1, -5)
3, -8 (Do -1,-5)
2, -13 (Do -1,-5)
1, -18 (Do -1,-5)
0, -23 (All done)
The y intercept is now found, along with the slope. Now these values can be both be plugged into the slope intercept equation, y=mx+b, where m is for the slope and b is where the y intercept goes.
y = 5x -23
Related Questions
Rocky purchased a guitar and Guitar Mart that was originally priced at $145.00. After tax, the final cost was $152.25. What was the percent of tax?
Answers
Given:
Original price = $145.00
Final cost = $152.25
To find:
The percent of tax.
Solution:
The formula for tax is:
Tax = Final cost - Original price
[tex]\text{Tax}=\$152.25-\$145.00[/tex]
[tex]\text{Tax}=\$7.25[/tex]
Formula for tax percentage is:
[tex]\text{Tax percent}=\dfrac{\text{Tax}}{\text{Original price}}\times 100[/tex]
[tex]\text{Tax percent}=\dfrac{7.25}{145.00}\times 100[/tex]
[tex]\text{Tax percent}=\dfrac{725.00}{145.00}[/tex]
[tex]\text{Tax percent}=5[/tex]
Therefore, the percent of tax is 5%.
7. A rectangular prism has dimensions
4 feet x 3 feet X 10 feet. What
are the possible dimensions of a
horizontal or vertical cross section?
Answers
Answer:
yoi
Step-by-step explanation:
yoi
How many times larger is 3 x 10^8 than 3 x 10^2
A: 1 x 10^-6
B: 1 x 10^4
C: 1 x 10^6
D: 1 x 10^10
Answers
Answer:
Your answer is C
Step-by-step explanation:
You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.
help find the surface area pls ill give u brainliest
Answers
Answer: 680 cm^2
Step-by-step explanation:
The center inscribed triangle is congruent to the three other triangle it forms.
Since they are congruent, they share the same height value: 17.
The total height of the big triangle is twice the height of 2 smaller ones, so 34.
A=bh/2, 40*34/2= 680
A cube with an edge length of 10 must be filled completely. How many cubic centimeters will be needed? Type
your answer in the box.
A cm3
Answers
Answer: 1,000 cm^3
Step-by-step explanation:
Volume of cube= bhw
All sides of a cube are equivalent so 10^3= 1000
(cosA+cosB)²+(sinA+sinB)²=4cos²(A-B/2)
Answers
LHS = (cosA+cosB)²+(sinA+sinB)²
= (cos²A+2cosAcosB+cos²B)+
(sin²A+2sinAsinB+sin²B)
/* By algebraic identity:
(x+y)² = x²+2xy+y² */
Rearranging the terms, we get
= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)
= 1+1+2cos(A-B)
________________________
we know that,
i) cos²x + sin²x = 1
ii) cosxcosy+sinxsiny = sin(x-y)
________________________
= 2+2cos(A-B)
= 2[1+cos(A-B)]
=
=
=$RHS$
Therefore,
(cosA+cosB)²+(sinA+sinB)²
=
••••
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Answer:
<BFC and <DCA
Step-by-step explanation:
Vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex
A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $12 per square foot. How much will it cost to replace the glass? Use 3.14 for π.
Answers
Answer:
The image of the window can be seen below:
In the image we can see that the window can be separated in:
One rectangle of 4ft by 5 ft
Two half-circles (that if we add we get a complete circle) of diameter D = 4in.
First, we know that for a rectangle of length L and width W, the area is:
A = L*W
Then the area of our rectangle is:
A = 4ft*5ft = 20ft^2
And for a circle of diameter D, the area is:
A' = 3.14*(D/2)^2
In this case we have D = 4in, then the area of the circle (that we get when we add the areas of the two half-circles) is:
A' = 3.14*(4ft/2)^2 = 3.14*4 ft^2 = 12.56 ft^2
Then the total area of the window is:
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Draw a net to represent the three-dimensional figure indicated.
a. Right cylinder
Answers
answer:
you should be able to see the answer below.
step-by-step explanation:
imagine opening the actual shape and make sure the net diagram makes senseThe net is made up of two congruent rectangles and a circle. The rectangles are the bases of the cylinder, and the circle is the top.
The rectangles are connected by four flaps, which are the sides of the cylinder.
The dimensions of the net are as follows:
The length of each rectangle is equal to the circumference of the circle.
The width of each rectangle is equal to the height of the cylinder.
The radius of the circle is equal to the radius of the base of the cylinder.
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
(0, 10)
-----------------
Pythagorean Theorem finding value in x
Answers
Answer:
14.4 is the value of x in the nearest tenth
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Answer:
1. 7234.56mm^2 2. 55.39ft^2 3. 706.5ft^2
2. Order these numbers from least to greatest: 5,0,1,-15-3,-1
Answers
Answer:
Step-by-step explanation:
- 15, -3, -1, 0 , 1, 5
Answer:
-15,-3,-1,0,1,5
Step-by-step explanation:
Describe the transformation (s) (x, y) ----> (x + 2, y - 3)
Answers
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to describe transformation
As we can see, we added a value to the initial x and subtracted a value from the initial y
By adding to the initial x value, we are simply moving towards the right of the coordinate plane i.e we move towards the positive x axis
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Answers
Answer:
The first answer is correct.
Step-by-step explanation:
If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.
Hope that this helps!
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Answers
Answer:
its the first one those lines are just going to make it posotive basically so its true
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Answers
Answer:
Surface Area Formula for a Rectangular Prism: A = 2( wl + hl + hw)
w = width
l = length
h = height
In this picture, it shows that the height is 4, the width is 2, and the length is 3. Therefore, we have:
A = 2 [ (2*3) + (4*3) + (4*2) ]
A = 2(6 + 12 + 8)
A = 2(26)
A = 52
Thus, the surface area is 52 cm^2.
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question is in the picture
Answers
Answer:
5040
Step-by-step explanation:
-1 × -2 × -3 × -4 × -5 × -6 × -7 × -8 = 40320
40320 ÷ 8 = 5040
(not 100% sure this is right)
Paul is a baker who earns 15 cash per hour.If paul worked 63 housrs at her job how much money has she eared
Answers
3. Find the length of time in years, given the principal of $4,800; interest rate
of 7.5%; and simple interest of $900
Answers
Answer:
2.5 years
Step-by-step explanation:
Formula for simple interest:
t = I / Pr
t = length of time
I = simple interest
P = initial amount
r = interest rate
p2+m; use m = 1 and p=5
Answers
5•2+1=11
^
10+1=11
4.
Find the x- and y-intercept of the line.
2x + 3y = -18
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
X - Intercept: (-9, 0)
Y - Intercept: (0, -6)
»»————- ★ ————-««
Here’s why:
The x and y-intercepts of a line is where a given function intercepts the x or y axes.
I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).
Therefore:
[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]
See the graph attached below!
»»————- ★ ————-««
Another way to solve this problem is to do this algebraically.
[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]
----------------------------
[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Anna makes more money than Nancy use the graph at the right to make a table and write a rule for the relationship between their earnings
Answers
Answer: Nancy = X , Anna = Y X rule is plus 8 and Y rule is plus 12
Step-by-step explanation:
Determine the missing side of the triangle.
Answers
Workers are using a nuke to carry equipment to work site. A mule can carry one bag of gravel that weighs 13 kilograms and some wooden posts. Each post weighs 4.5 kilograms.
What’s is the greatest number of wooden posts the mule can carry?
Please help
Answers
Because we know that a mule can carry ≈13kgs and each pole is 4.5 kg, so we do:
13/4.5≈ 2.88888889...≈ 3 wooden posts.
Answer:
14
Step-by-step explanation:
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Answers
Answer:
D
Step-by-step explanation:
What is the slope-intercept equation of the line below?
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Answers
Answer:
y = -5/4x + 3
Step-by-step explanation:
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Perform the indicated operation.
a^2 - 2a+1/6 divided by (a^2-1)= _________
The denominator of the resulting fraction is
→ 6(a - 1)
→6(a + 1)
→6
Answers
9514 1404 393
Answer:
(b) 6(a+1)
Step-by-step explanation:
Common factors are cancelled from numerator and denominator.
[tex]\displaystyle\frac{a^2-2a+1}{6}\div(a^2-1)=\frac{(a-1)^2}{6}\cdot\frac{1}{(a-1)(a+1)}\\\\=\frac{(a-1)(a-1)}{6(a-1)(a+1)}=\boxed{\frac{a-1}{6(a+1)}}[/tex]
The denominator of the result is 6(a+1).
Nine times the sum of a number and 26 is at most -25
Answers
Answer:
x ≤ -259/9
Step-by-step explanation:
Change into a number equation 9(x + 26) ≤ -25
Tell whether the angles are adjacent or vertical. Then find the value
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Answers
3x-4= 107
-4. -4
3x= 103
/3. /3
X= 34.333333