Answer:
y + 3= 3(x - 6) ← point-slope form
y = 3x - 21 ← slope-intercept form
3x - y = 21 ← standard form
Step-by-step explanation:
The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 3x + 1 ⇒ m₁ = 3 ⇒ m₂ = 3
(6, -3) ⇒ x₁ = 6, y₁ = -3
point-slope form:
y - (-3) = 3(x - 6)
y + 3 = 3(x - 6)
y + 3 = 3x - 18 {subtact 3 from both sides}
y = 3x - 21 ← slope-intercept form
-3x + y = -21 {multiply both sides by (-1)}
3x - y = 21 ← standard form
nancy is making cupcakes for her schools bake sale. after 2 hours of work she has 41 cupcakes after 7 hours she has 141 cupcakes. write an equation to model the number of cupcakes y for cupcakes x for hours
HELP URGENT 40 POINTS
Answer:
Step-by-step explanation:
Do you mind telling me what grade you are in? Oh and can you take a better picture?
The first term of a geometric sequence is 6 and the common ratio is -8. Find the 6th term.
9514 1404 393
Answer:
a6 = -196,608
Step-by-step explanation:
The general term of a geometric sequence with first term a1 and common ratio r is given by ...
an = a1·r^(n-1)
For a1 = 6, r = -8, and n = 6, we find the 6th term to be ...
a6 = 6·(-8)^(6-1)
a6 = -196,608
all of the following proportions can be used to solve for m except
Answer:
abcdefghijklmnopqrstuvwxyz
Can someone explain how to do this I'm lost.
Step-by-step explanation:
[tex]\huge\bold\purple{ 5 }[/tex]
[tex]\huge\bold\purple{ explanation }[/tex]
[tex]90(right \: angle) = (9x + 1) + (7x + 9) \\ 90 = 16x + 10 \\ 16x = 90 - 10 = 80 \\ x = 80 \div 16 \\ x = 5| [/tex]
What value of x makes the equation -4+12x=8 true?
Answer:
1
Step-by-step explanation:
Write down the next two terms in these quadratic sequences:
1.
9, 13, 19, 27,
2.
-5, 0, 9, 22,
Our friend purchased a medium pizza for $10.31 with a 30% off coupon. What is the price of a medium pizza without a coupon? Do not include units (dollars) in your answer.
Answer:
the price of a medium pizza without a coupon is 14.73
Step-by-step explanation:
The computation of the price of a medium pizza without a coupon is given below:
Given that
The Price of medium pizza be 10.31 after considering the 30% off coupon
That means it is 70% value
So the 100% value would be
= 10.31 × 1 ÷ 0.70
= 14.73
hence, the price of a medium pizza without a coupon is 14.73
Which line on the graph below has an undefined slope?
P
Q
R
S
Answer:
Q
Step-by-step explanation:
X has constant value
x'-x = 0
m =(y'-y)/(x'-x) --> undefined
Answer:
R
Step-by-step explanation:
A vertical line has a slope that is "undefined". Line R is the vertical line on your graph
___________
The slope of a vertical line is "undefined" because of the way slope is defined. Slope is the vertical change divided by the horizontal change. When the line is vertical, there is no horizontal change, so the computation of slope involves division by zero. The result of division by zero is "undefined."
Help please- I’m about to stress the heck out djhdhd
-x / 8 = 5
what is the equation that passes through the given point and has the given slope (-2, -1); m= -3
Answer:
y = - 3x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (- 2, - 1) into the partial equation
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = - 3x - 7 ← equation of line
Answer:
The equation would be y=-3x-7
Step-by-step explanation:
What are the solutions to the following system of equations? Select the correct answer below.
y = x2 - 4x + 3
2x + y = 6
A) (-1,8) and (3,0)
B) (-1, 3) and (8,0)
C) (0,8) and (3, -1)
D) (3, 8) and (-1,0)
Answer:
A
Step-by-step explanation:
we can conclude from the second equation that when
2x + y = 6 then y = 6 - 2x. so instead of y in the first equation we use 6 - 2x.
now the equation would look like this : 6 - 2x = x^2 - 4x + 3 .
then we bring everything to one side of the equation : x^2 - 2x - 3 .
now we'll have two results for x ( because x^2 - 2x - 3 = 0 has 2 answers )
one of them is -1 and other one is 3.
if we put them in the first equation we will have 8 and 0 for y.
so A is the answer
Taylor is buying a chest freezer that had an original price of $145 but is
advertised at 25% off. Sales tax of 6.75% is applied to the discounted price.
How much will Taylor pay for the chest freezer?
a. $108.75 b. $116.09
C. $7.34
d. $108.08
Answer:B
Step-by-step explanation:
It's 116.09
Is a circles area proportional to its radius? Is a circles circumference proportional to its diameter?
Someone please help me with this
Answer:
The area of the shaded figure is:
20 units^2Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
Area of a rectangle = long * wideArea of a rectangle = 6 * 4Area of a rectangle = 24 units^2How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
Area of a triangle = [tex]\frac{wide*height}{2}[/tex]Area of a triangle = [tex]\frac{4*2}{2}[/tex]Area of a triangle =[tex]\frac{8}{2}[/tex]Area of a triangle = 4 units^2In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
Area of the shaded figure = Area of the rectangle - Area of the triangleArea of the shaded figure = 24 units^2 - 4 units^2Area of the shaded figure = 20 units^2I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
Help anyone? I need the questions worked out it doesn’t matter if you give me only one question
y2-y1/x2-x1. For A and B y2=4, y1=-4, x2=2 and x1=-2... Now u plug them in them, 4-(-4)/2-(-2)= 8/4=2. Slope equals 2. :)
Solve log x=4
x=4
x=40
x=1000
x=10000
Answer:10000
Step-by-step explanation:
Remember that log x and 10^x are inverse functions.
If you have log x = 4 and want the value of x, write this out:
log x 4
10 = 10
This simplifies to:
x = 10^4, and so the fourth answer choice is the correct one.
this is a personal question what do you do if your little sister will not stop bothering you and you are home allowen?
Answer: first try seeing what she wants and if that doesn’t work. either put on her favorite show with some snacks or go somewhere where you know she can’t find you. ☺️
Step-by-step explanation:
Given 2m+n=r, solve for m.
Answer:
m= r-n/2
Step-by-step explanation:
2m+n=r
2m=r-n
m=r-n/2
PLEASE HELP HELP ASAP ASAP PLEASE HELP
Which two grids can be combined to represent 140%?
JA
В
C
O A and B
O A and C
OB and D
O C and D
Answer:
0A and C
Step-by-step explanation:
Please mark me brainlist
Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°.
Approximately how tall is the tree?
Answer:
[tex]\boxed {\boxed {\sf About \ 28.36 \ meters }}[/tex]
Step-by-step explanation:
Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.
sin(θ)= opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentNow, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.
We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.
[tex]tan(\Theta)=\frac{opposite}{adjacent}[/tex]
opposite=x adjacent=5 mθ=80Substitute in the known variables.
[tex]tan(80)=\frac{x}{5 \ m }[/tex]
We want to find x, the height of the tree. Therefore we need to isolate that variable.
x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.
[tex]5 \ m* tan(80)=\frac{x}{5 \ m }* 5 \ m[/tex]
[tex]5 \ m* tan(80)=x[/tex]
[tex]5 \ m *5.67128182=x[/tex]
[tex]28.3564091 \ m = x[/tex]
The question asks for an approximation, so let's round to the nearest hundredth.
The 6 in the thousandth place tells us to round the 5 to a 6.
[tex]28.36 \ m \approx x[/tex]
The tree is about 28.36 meters tall.
50 points and brainiest if correct.
Answer:
2
Step-by-step explanation:
2
Answer:
28 gallons.
Step-by-step explanation:
1/5 is 20% of the container's full capatcity.
7/10 is 70% of the container's full capatcity.
20% - 70% = 50%
By adding 14 gallons of water, the container's water went up by 50%.
If we multiply 14 by 2, we will know what the container can hold at 100% capatcity.
14 x 2 = 28
Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?
Equation:
1
4
a +
1
3
a + 8 = 22
Carrie’s allowance was $.
Answer:
$24
Step-by-step explanation:
Let the total amount of her allowance = a
We are told that she spent $8 on belt
And the total amount she spent = $22
The Fraction of allowance spent on
Shirt = 1/4
Skirt = 1/3
Hence, the equation is given as:
1/4 × a + 1/3 × a + $8 = $22
Collect like terms
a/4 + a/3 = $22 - $8
a/4 + a/3 = $14
The Lowest Common Denominator = 12
3a + 4a/12 = $14
7a/12 = $14
Cross Multiply
7a = $14 × 12
7a = $168
a = $168/7
a = $24
Therefore, her total allowance = $24
Answer:
its 24 i took the quiz :)
pls help i need it asap
Answer:
down below
Step-by-step explanation:
k) 1 and 22/48
l)124/26
m)68/20
n)2 and 5/10
o)2 and 18/19
please give me brainliest!!!<3
Can somebody simply these matrixs for me please I will give out brainlist to first correct answer
Answer:
I think it's D:)
Step-by-step explanation:
What is the measure of JGK shown in the diagram below?
A. 56
B. 112
C. 138
D. 69
Answer:
B.56
Step-by-step explanation:
what is 7/5minus 5 equal?
answer:
- 3 3/5
7/5-5/1 = 18/5
18/5 = - 3 3/5
Gerri is working on a project that need to be finish by Friday so far she has completed 1/3 of the project How much of the project does she have to finish By Friday . Answer is . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Answer:
Part of incomplete work = 2/3 of project
Step-by-step explanation:
Given:
Part of work completed = 1/3 of project
Find:
Part of incomplete work
Computation:
Part of incomplete work = 1 - Part of work completed
Part of incomplete work = 1 - 1/3
Part of incomplete work = 2/3 of project
If a figure is dilated by a factor of 6 the area of the figure will change by a factor of?
Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.
O triangular pyramid
O square pyramid
O rectangular prism
O cube
O cone
O cylinder
O sphere
Answer:
Rectangular PrismCube CylinderStep-by-step explanation:
I know because I just did it on an assignement and it said these were the right answers.
In this exercise we have to use knowledge of direction and congruent lines to identify which objects have these characteristics, so we can say that:
Rectangular Prism
Cube
Cylinder
Triangular pyramid
First we have to remember the definition of congruent lines, such as:
having the same size and shape. equal angles.From this we can now identify these figures as:
Rectangular PrismCubeCylinderTriangular pyramidSee more about congruent at brainly.com/question/24887947