Answer:
y = 5x + 7
Step-by-step explanation:
(-2, -3) & (-1, 2)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(2 - (-3)) / (-1 - (-2))
Simplify the parentheses.
= (2 + 3) / (-1 + 2)
= (5) / (1)
Simplify the fraction.
5/1
= 5
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 5x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 5(-1) + b
To find b, multiply the slope and the input of x(-1)
2 = -5 + b
Now, add 5 to both sides to isolate b.
7 = b
Plug this into your standard equation.
y = 5x + 7
This is your equation.
Check this by plugging in the other point you have not checked yet (-2, -3).
y = 5x + 7
-3 = 5(-2) + 7
-3 = -10 + 7
-3 = -3
Your equation is correct.
Hope this helps!
A shirt originally cost $15, but it was marked down 5%. How much does the shirt cost now? Don't forget the $ symbol.
===============================================
Explanation:
There are two approaches we can take.
The first approach is finding the amount we save, which is 5% of 15 = 0.05*15 = 0.75 dollars or 75 cents.
So the new price is 15 - 0.75 = 14.25 dollars
----------------
The second approach is to think of it like this: If you save 5%, then you still have to pay the remaining 95% (the two percentages add to 100%).
95% of 15 = 0.95*15 = 14.25
This second approach is handy if you want to chain multiple discounts together. So let's say there's a special 10% off sale on top of the 5% discount. We would multiply by 0.90 to further discount by 10% and get to 0.90*0.95*15 = 12.825 = 12.83. It also works in reverse too and we could chain percent increases along with percent decreases.
PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEEEEE PLEAASEEEEEEEE PLEASEEEEEEEE I NEED HELPPPPP
Answer: A. SAS
If we look at how the triangles are congruent, we have a side, an included angle, and another side. Therefore, these triangles are congruent by Side-Angle-Side. So we can say that MO is congruent to PR because the triangles are congruent by SAS.
Hope this helps!! :)
At the city museum, child admission is $6.20 and adult admission is $9.90 . On Monday, three times as many adult tickets as child tickets were sold, for a total sales of $1436.00 . How many child tickets were sold that day?
Can you please delete this. I have answered it wrong. Thanks
Which three types of transformations result in congruent shapes?
Answer:
There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent
What is the area of figure below?
===========================================
Work Shown:
A = area of trapezoid
A = height*(base1+base2)/2
A = 9*(16+10)/2
A = 9*26/2
A = 9*13
A = 117
---------
B = area of triangle
B = base*height/2
B = 6*8/2
B = 48/2
B = 24
----------
C = area of entire figure
C = A+B
C = 117+24
C = 141 square inches
We can write "sq in" or "in^2" as shorthand for "square inches".
may you help me with this question?
Step-by-step explanation:
OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x
Step-by-step explanation:
On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.
please help me solve this
Answer:
x = 4.58
Step-by-step explanation:
5² = 2² + x²
x² = 5² - 2²
x² = 25 - 4
x = √21
× =4.58
You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards. You want to create a 95% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate
Answer:
The margin of error for this estimate is of 14.79 yards per game.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.
This means that [tex]n = 20, s = 31.61[/tex]
What is the margin of error for this estimate?
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 2.093\frac{31.61}{\sqrt{20}}[/tex]
[tex]M = 14.79[/tex]
The margin of error for this estimate is of 14.79 yards per game.
Determine the equation of the circle graphed below.
9514 1404 393
Answer:
(x -6)^2 +(y -6)^2 = 10
Step-by-step explanation:
To use the standard form equation for a circle, we need to know the center and the square of the radius. The center can be read from the graph as (6, 6). The square of the radius can be found using the distance formula.
d^2 = (x2-x1)^2 +(y2-y1)^2
The radius is the distance between the two points shown, so we have ...
d^2 = (7-6)^2 +(9-6)^2 = 1^2 +3^2 = 10
__
The equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
For (h, k) = (6, 6) and r^2 = 10, the equation is ...
(x -6)^2 +(y -6)^2 = 10
easy question.
Solve the inequality -5x<40
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-5x < 40}[/tex]
[tex]\large\text{DIVIDE -5 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-5x}{-5}<\dfrac{40}{-5}}[/tex]
[tex]\rm{CANCEL\ out: \dfrac{-5}{-5} \ because\ that \ gives\ you\ 1}[/tex]
[tex]\rm{KEEP: \dfrac{40}{-5}\ because \ that \ gives \ you \ what \ you \ are\ comparing}\\\\\rm{to \ the \ x-value}[/tex]
[tex]\mathsf{\dfrac{40}{-5}=\boxed{\bf -8}}[/tex]
[tex]\mathsf{x > -8}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \large \bf x }\bf > \large\textsf{\bf -8}}}\huge\checkmark[/tex]
[tex]\boxed{\large\textsf{IT is an O(P)(E)(N)(E)(D) circle shaded to the right}}[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find 35% of a number is 70 find the number
Answer:
200.
Step-by-step explanation:
35% = 0.35 so
0.35x = 70
x = 70 / 0.35
= 200.
Answer:
200
Step-by-step explanation:
Let the number = x
35% of x = 70
35/100 * x = 70 Multiply by 100
35x = 70 * 100
35x = 7000 Divide by 35
x = 7000/35
x = 200
in 2007 the poverty threshold for a family of four two of whom were related children was $21027 at the same time the poverty threshold for a family of four three of whom were related children was 21100 for each of the preceding years the difference between these two thresholds was less than $100 what is the conclusion you can draw from this
Answer:
MINIMUM WAGE does not increase much over time
Step-by-step explanation:
Based on the information given the conclusion you can draw from this is that MINIMUM WAGE DOES NOT INCREASE OR TEND TO GO UP MUCH OVER TIME Since the MINIMUM WAGES of the poverty threshold of whom TWO were related children was the amount of $21,027 and the poverty threshold of whom THREE were related children was the amount of $21,100 indicating that the minimum wages only increase from $21,027 to $21,100 given us the amount of $73 ($21,027 -$21,100) which is less than the amount of $100 as the difference between these TWO THRESHOLDS for each of the preceeding year.
Keano and Emily are going to Europe to buy some shoes, they will need €1500. How many American Dollars will it take to get that much, knowing that the exchange rate of USD: EUR is €1: $1.14 *
Answer:
1710
Step-by-step explanation:
you will multiply 1500 euros by the exchange rate
Find the height of the pyramid.
Answer:
3yd
Step-by-step explanation:
use your brain
urgent..
not explanation just answer plzz
Answer:
D 1
Step-by-step explanation:
Find, if possible, exact solutions for the quadratic equation. 7x^2 =
-28x
Answer:
X = 0, -4
Step-by-step explanation:
Symbolab helped
Need some help on this
9514 1404 393
Answer:
a. set 1: 29 minutes; set 2: 25 minutes
b. set 1 is more challenging than set 2
Step-by-step explanation:
a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...
(2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes
For set 2, that is ...
(4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes
__
b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...
set 1 is more challenging than set 2
how to solve 36x-8y2 x is 3 y is -6
Express the given repeating decimal as a quotient of integers. If possible, reduce to lowest terms.
Answer:
4
Step-by-step explanation:
I NEED HELP The measure of an angle is 74.6°. What is the measure of its supplementary angle?
Answer:
105.4º
Step-by-step explanation:
supplementary angles total 180º
180 - 74.6 = 105.4º
i know the answer but i need a thorough explanation on how to do this. pls answer the questions i have for brainliest thank you
Answer:
i think because it's powered by 4
can someone help me i need help pls pls pls pls
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex] \frac{2}{3} \times \frac{7}{4} \\ = \frac{2 \times 7}{3 \times 4} \\ = \frac{14}{12} \\ = \frac{7}{6} [/tex]
You'll get the answer as 7/6 which is equal to 1.16. 2/3 is equal to 0.66.
[tex]•°• \frac{7}{6} > \frac{2}{3} [/tex]
✐ So, the answer is ⇻ greater than 2/3.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Came someone help me answer this one?
Answer:
Let x = ducks
Let y = goats
Equation 1: x+y=38
Equation 2: 2x+4y=90
Step-by-step explanation: (Work)
The question says two kinds of animals, so let x be "ducks" and y be "goats."
Number one equation: x+y=38
Number two equation: 2x+4y=90
Explanation:
The x+y=38 represents how many animals there will be if you add both the ducks and goats.
The 2x+4y=90 represents the legs of the animals, the 2x represents the 2 legs of the ducks and the 4y represents the 4 legs of the goats.
Which one
60in
84in
120in
168in
Answer:
84in
Step-by-step explanation:
Triangle Formula: 1/2bh
16*8=48*1/2 = 24
15*8= 120*1/2= 60
24+60= 84
Pls help this is with 26 pt and brainlest
Answer:
a) 1 only
Step-by-step explanation:
this is what I believe it is but 1 is for sure an answer
Each week the manager of a coffee shop orders three more cases of soy milk than almond milk. Let x represent the cases of almond milk and lery
represent the cases of soy milk
Create a table to represent this relationship.
Move each necessary number to its appropriate row to complete the table.
1
5
4
7
12
Answer:
1 4
2 5
4 7
7 10
9 12
Step-by-step explanation:
15,60,240,... Find the 6th term .
Answer:
61440
Step-by-step explanation:
15 x 4= 60
60 x 4= 240
240 x 4= 960
960 x 4= 3840
3840 x 4 = 15360
15360 x 4= 61440
The 6th term = 15360.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
the given sequence 15,60,240,...
1st trem = 15
common ratio = 4
so, 6th term = 15* 4^5
=15360
hence, The 6th term = 15360.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
need help will give brainiest
Answer:
1) ∠M
2) MT, GT
3) ∠G
4) not enough information...because we are given two congruent sides but an angle that is not included.
5) SAS because two sides are congruent (including the one they share) and an included angle.
6) SSS because three sides are congruent (including the one they share).
Question 3 (1 point)
Find the value of x for the right triangle.
15
30°
Х
Answer:
x = 8.7
Step-by-step explanation:
Reference angle = 30°
Opposite side length = x
Adjacent side length = 15
Apply trigonometric function, TOA:
Tan 30° = Opp/Adj
Plug in the values
Tan 30° = x/15
Multiply both sides by 15
15*Tan 30° = x
8.66025404 = x
x = 8.7 (nearest tenth)
increase 21 kobo by 35%
Answer:
28.35
Step-by-step explanation:
you can use mathswatch or hegarty maths to help u