Answer:
y=1/4x-1
Step-by-step explanation:
So lets start off by going over what slope intecerp form is.
Slope intercept form looks like this:
y=mx+b
Lets go over the different values in this formula:
y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.
m is always teh slope. The slope is y/x, basically just the change in y over the change in x.
x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.
Lastly we have b. This is what y equals when x is 0.
Lets use this to make our slope intercept.
So we have:
y=mx+b
y and x are not going to have a written value, so we only need to determine m and b.
So lets find b.
B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)
The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).
So b will be: -1/-4, or just 1/4:
y=1/4x+b
Now lets find b.
Lets specificly lookat what y equals when x is 0 on the graph.
We can see the point is (0, -1)
So the y intercept is -1. This means b is equal to -1:
y=1/4x-1
This is your slope intercept!
Hope this helps! :D
Sorry for bad grammar, I am writting on a strange keyboard.
If the volume of this cube (15 cm and 5 cm) is 525 cm3,then the length of the missing side is what cm?
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.
The cost of a t-shirt is £3 and the cost of a hat is £2.
What is a linear equation?
When an equation contains one or more variables with exponents as 1 then such equations are linear equations.
For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.
Let the cost of a t-shirt is £m and the cost of a hat is £n.
Formulate two linear equations using the given statements in the question.
[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]
Obtain the value of m from equation (1).
[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]
Substitute the obtained value of m into equation (1) and find n.
[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]
Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.
[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]
Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.
Learn more about linear equations at https://brainly.com/question/11897796
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A 14-foot ladder is leaned against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall will the ladder reach?
Round to the nearest tenth if needed.
Answer:
23
Step-by-step explanation:
If you place a 32-foot ladder against the top of a building and the bottom of the
ladder is 24 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
Please respond ASAP
Answer:21.2
Step-by-step explanation:
delta math
PLEASE HELP
the balance on an 8 year loan is 9,768. if the simple interest rate is 4% what did the principal borrow
Answer:
Step-by-step explanation:
what
Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)
Answer:
If you still need the answer it’s c
Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,
The factorization is the form
(x-a) (x-b) where a and b are the zeros
(x-3) (x-2)
can anyone help please? I’ll give brainliest !
Answer:
I think he has $9800 left to pay off
Step-by-step explanation:
multiply the tuition(10350)by 2. Then subtract 1/3 of that (6900) by the price (20700) thensubtract the $4000 he gets from his job
In the figure below, ACDE is similar to AFGH.
D
G
11
8
C
5 E
2X+4
F
H
If the perimeter of AFGH is 48 units, find the value of x.
Answer:
6
Step-by-step explanation:
[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]
[tex]2)\ 2x + 4 + y +z = 48[/tex]
[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]
[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]
Answer:
6
Step-by-step explanation:
[tex] \triangle CDE \sim \triangle FGH[/tex]
[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]
(Area of similar triangle theorem)
[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]
[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]
[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]
[tex] 2x + 4 = 2\times 8[/tex]
[tex] 2x + 4 =16[/tex]
[tex] 2x =16-4[/tex]
[tex] 2x =12[/tex]
[tex] x =\frac{12}{2} [/tex]
[tex] x = 6 [/tex]
An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Tax
Total
Answer:
sales tax is $3.2 ans total is $43.2
Step-by-step explanation:
ITS FOR A TEST PLS HELP
Alyssa is trying to pick out an outfit for the first day of school. She can choose
from 4 pairs of pants, 8 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes.
How many different outfits does Alyssa have to choose from?
The number of different outfits is 1280
How to determine the number of different outfits?From the question, we have the following parameters that can be used in our computation:
8 pairs of pants, 6 t-shirts, 6 sweaters or hoodies, and 2 pairs of shoes
The number of different outfits is equal to the products of the count of each apparel.
This is represented as;
Different outfits = Pants * T-shirts * Sweaters or hoodies * Pairs of shoes
Substitute the known values in the above equation;
Different outfits = 4 x 8 x 8 x 5
Evaluate;
Different outfits = 1280
Hence, there are 1280 different outfits
Read more about combination at;
brainly.com/question/11732255
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A jar contains 9 marbles marked with the numbers 1 through 9. You pick a marble at random. What is the probability of not picking the marble marked with the number 2? Enter your answer as a simplified fraction. The probability of not picking the marble marked with the number 2 is
Answer:
1/9 or unlikely
Step-by-step explanation:
Answer:
8/9
Step-by-step explanation:
7 1/2 divided by 3/4 =?
Answer:
7 1/2 divided by 3/4 is 10
Step-by-step explanation:
10
Brainiest please and thank you
TEXAS Test Prep
Which equation represents the fraction of beads that are green or yellow?
⚫⚪⚫⚫⚫⚫⚫⚫
A. 1/2 + 1/4 = 3/4
B. 1/4 + 1/8 = 3/8
C. 1/2 + 1/8 = 5/8
D. 3/4 + 2/8 = 1
Answer:
1/8 + 1/2 = 5/8
Step-by-step explanation:
Total number of beads = 8
Number of green beads = 4
Number of yellow beads = 1
Fraction of green beads :
Number of green / total number of bead = 4 / 8 = 1/2
Fraction of yellow beads :
Number of yellow / total number of bead = 1 / 8
Number of green or yellow bead :
1/8 + 1/2 = (1 + 4) / 8 = 5/8
Pls help!!!!
Find the center, vertices, foci, and asymptotes of the hyperbola. 9y^2-36x^2=324
Answer:
Center: (0, 0)
Vertices: (0, 6), (0, -6)
Foci: (0, 3√5), (0, -3√5)
Asymptotes: y = 2x, y = -2x
Step-by-step explanation:
At the end of her work day at the Ferguson Corporation, Sarah usually
walks to the subway station to travel home. Today, she is walking to the
Springdale Town Center first to take care of some errands. She will then
continue walking to the subway station to travel home. The map of these
routes is shown below.
2000 feet
Subway
Ferguson
Corporation
Station
Springdale
Town Center
If Sarah walks to the Springdale Town Center from the Ferguson
Corporation and then to the Subway Station, how much farther will she
walk than if she walks directly to the Subway Station from the Ferguson
Corporation? Show all of your work.
Answer:
1263.7032 feets
Step-by-step explanation:
Distance from Ferguson corporation to Springdale Town center ; let the distance = x
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 27 = x / 2000
0.5095254 * 2000 = x
1019.0508 feets
Distance from Springdale to Subway station, this is the hypotenuse :
Hypotenuse = √(1019.0508² + 2000²)
Hypotenuse = √5038464.7
Hypotenuse = 2244.6524 feets
Total distance walked from Ferguson to Springdale, then to Subway ;
(1019.0508 + 2244.6524) feets = 3263.7032 feets
Additional distance walked :
(3263.7032 feets - 2000 feets) = 1263.7032
In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:
[tex]H=1263.7032 feets[/tex]
We can use the definition of tangent to calculate:
[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]
Now using the Pythagorean theorem we have:
[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]
See more about triangles at brainly.com/question/2269348
Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles
Answer: 0.5
Step-by-step explanation:
Given
There are 3 blue and 1 yellow marble
The chance of picking two marble out of 3 is [tex]^3C_2[/tex]
The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]
Therefore, the probability of picking 2 blue marbles
[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]
I need formulas for volumes of cones and cylinders. And other 8th grade math formulas if you have any, preping for eog.
Answer:
(Shown below)
Step-by-step explanation:
Here are a few formulas for shapes:
Perimeter of a rectangle: Length + Length + Width + Width = PerimeterArea of a rectangle: Length * Width = AreaPerimeter of a triangle: Base + Height + Hypotenuse = PerimeterArea of a triangle: (Base * Height)/2 = AreaTo find the missing side length in a right triangle: [tex]a^{2} + b^{2} = c^{2}[/tex]Circumference of a circle: (2 * [tex]\pi[/tex] * r) = CircumferenceArea of a circle: [tex]\pi (r)^{2}[/tex] = AreaSurface area of a rectangular prism: All sides added up = Surface areaVolume of a rectangular prism: Length * Width * Height = AreaVolume for a sphere: [tex]\frac{4}{3}\pi r^{3}[/tex] = VolumeVolume for a cylinder: [tex]pi (r^{2})h[/tex] = VolumeVolume for a cone: [tex](pi (r^{2})h)/3[/tex] = VolumeHere a few formulas for functions, if you need it:
Linear function: y = mx + bQuadratic function: [tex]ax^2+bx+c = 0[/tex]Quadratic formula: (Shown at the bottom)Hope this helps!
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
PLEASE HELP ME WITH QUESTIONS 1 AND 2! NO LINKS OR SPAMS!!! THANKS!!!!!!!!!
Find the surface area of the triangular prism shown below. 5ft 5ft 3ft 7ft 8ft .
Answer:
30ft
Step-by-step explanation:
what's the value of x?
Answer:
x=40
Step-by-step explanation:
Reflections have to be equal to each other.
Therefore, the equation is going to be 3x-6=114. This is equal to 3x=114+6. This is equal to 3x=120. x=120/3. x=40. Therefore, x=40.
If this helps please mark as brainliest
Answer:
X=40 pls mark brainlist it would really help
Step-by-step explanation:
3x-6 must equal 114. So...
3x-6=114
+6 +6
3x=120
/3 /3
x=40
what is 4,000,000 + 800,00 + 10,000 + 2,000 + 400 + 80 + 9 in standard form?
please help asap
Answer:
4,812,489
Step-by-step explanation:
Answer:
408,12,489
Step-by-step explanation:
hope it helped you
Which expression is equivalent to 64y^18 - 1000z^6?
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Expression is equivalent to 64y¹⁸ - 1000z⁶ : (4y⁶)³- (10z²)³
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
5 athletes are in a 100k race. How many different ways can they finish based on their order.
Answer:
It's 120 different ways I think
Step-by-step explanation:
find YZ pls fast correct
Answer:
44Step-by-step explanation:
According to intersecting chords theorem:
21(2x - 6) = 30(x + 1)42x - 126 = 30x + 3042x - 30x = 126 + 3012x = 156x = 156/12x = 13Find the value of YZ:
YZ = 30 + 13 + 1 = 44[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{21(2x - 6) = 30(x + 1)}[/tex]
[tex]\large\textsf{21(2x) + 21(-6) = 30(x) + 30(1)}[/tex]
[tex]\large\textsf{21(2x) = 42x}[/tex]
[tex]\large\textsf{21(-6) = -126}[/tex]
[tex]\large\textsf{30(x) = 30x}[/tex]
[tex]\large\textsf{30(1) = 30}[/tex]
[tex]\large\textsf{42x - 126 = 30x + 30}[/tex]
[tex]\large\text{Put ALL your LIKE TERMS TOGETHER}[/tex]
[tex]\large\text{NEW EQUATION: \textsf {42x - 30x = 126 + 30}}[/tex]
[tex]\large\textsf{42x - 30x = 12x}[/tex]
[tex]\large\textsf{126 + 30 = 156}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{12x = 156}}[/tex]
[tex]\large\text{DIVIDE 12 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{12x}{12}=\dfrac{156}{12}}[/tex]
[tex]\large\text{CANCEL out: } \mathsf{\dfrac{12}{12}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{156}{12}}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}[/tex]
[tex]\mathsf{\dfrac{156}{12}=\bf 13}[/tex]
[tex]\large\text{NEW and FINAL EQUATION: \textsf{30 + 1 + 13}}[/tex]
[tex]\large\textsf{30 + 1 + 13}[/tex]
[tex]\large\textsf{30 + 1 = \bf 31}[/tex]
[tex]\large\textsf{= 31 + 13}[/tex]
[tex]\large\textsf{= \bf 44}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf YZ = 44 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which expression is equivalent to csc x – sin x?
a.
cos^2x/sinx
c.
sin x – cos x
b.
sin x + cos x
d.
cos^2x + sin^2x
Answer:
a edge 2021
Step-by-step explanation:
Please help. Find sinA
Answer: 32/40
Step-by-step explanation:
Sin is Opp/Hyp
Sin A is 32/40
For the triangle above, write the correct part of the triangle (opposite, adjacent, otr hypotenuse)
For the triangle above, write the trigonometric ratio for each function. (Use “/” for fraction bar)
Will give brainliest
Answer:
this is the answer please give brainliest
N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3
Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Step-by-step explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's
One thing you learned about slopes
Answer:
one thing that I learned about slope is the rise over run and y2-y1 over x2-x1
Step-by-step explanation:
Answer:
That if 2 coordinate points are given we can use the formula of; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope passing through those points
Hope this helps!