Answer:
y = 3/5x + -9
or y = 3/5x - 9
Step-by-step explanation:
Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b
Here is what this equation stands for:
y = the y in the order pair you are given, in this case it would be -6
m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5
x = the x in the ordered pair you are given, in this case it would be 5
b = This is the y-intercept, you will mostly be solving for this most of the time
(5,-6)
(x, y)
y = mx+b (Use this Formula)
-6 = 3/5(5) +b (The numbers have been substituted within the formula)
-6 = 3+b (simplify the equation by multiplying the slope by the x)
-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")
-9 = b (solve)
y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)
I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!
3. Which of the following is a polynomial with roots 4,6, and - 7
Answer: P(x)= x³ - 3 x² - 46 x +168
Step-by-step explanation:
(4,6, -7)
hence the polynomial will be equal to
P(x) = (x-4) (x-6) (x+7)
P(x) = (x-4) (x²+7 x -6 x -42)
P(x) = (x-4) (x²+x -42)
P(x) = x³ + x²-42 x -4 x² -4 x +168
P(x) = x³ - 3 x² - 46 x +168
hence, the required polynomial is P(x) = x³ - 3 x² - 46 x +168
Have a awesome day✨Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?
Answer:
$229.73
Step-by-step explanation:
5 Pair of jeans = 127.63
divide by 5 to get 1 pair of jeans.
1 pair of jeans = 25. 526 rounded 25.53
times 9 to get to 9 pair of jeans.
9 pair of jeans = 229. 734 rounded 229.73
Kate ran 6 miles. How far did she run in kilometers?
Answer:
9.65606
Step-by-step explanation:
What day and time will it be 85 hr 33 min after Friday 12:11 am?
Answer:
Enter date and time information at "From:"
Select a month and a day. Enter a year.
The year entered must be a positive number. Not zero (0).
Enter hours and minutes. Select am or pm.
The hours entered must be a positive number between 1 and 12 or zero (0).
The minutes entered must be a positive number between 1 and 59 or zero (0).
Add or Subtract Line
Enter number of days, hours and minutes
Select "add" or "subtract"
If you type "ghblxz", in the year box the computer will print "0"
If you type "1.9e2", the computer will use "190" to calculate the answer.
If you select "February 31", the computer will print "Not a Day"
Click "Click to Calculate" button. The calculated date and time will appear.
NaN = not a number
To clear the entry boxes click "Reset
Candice buys 2/8 of a container of roasted peanuts. Alan buys 2/3 of a container. Both containers are the same size. Candice says 2/8 is between 1/2 and 1, so she buys more peanuts than Alan. Is Candice correct? Explain.
Since my name is in this question, I'll answer it :)
Answer:
Yes, she's right.
Step-by-step explanation:
2/8 is simplified to 1/4. Between 1 and 1/2, it is 1/4. So yes, I (Candice) was right. :)
The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area to 4 decimal places.
Answer:
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Step-by-step explanation:
The circumference ([tex]s[/tex]), in centimeters, and the surface area ([tex]A_{s}[/tex]), in square centimeters, of a sphere are represented by following formulas:
[tex]A_{s} = 4\pi\cdot r^{2}[/tex] (1)
[tex]s = 2\pi\cdot r[/tex] (2)
Where [tex]r[/tex] is the radius of the sphere, in centimeters.
By applying (2) in (1), we derive this expression:
[tex]A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}[/tex]
[tex]A_{s} = \frac{s^{2}}{\pi^{2}}[/tex] (3)
By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ([tex]\Delta A_{s}[/tex]), in square centimeters:
[tex]\Delta A_{s} = \frac{\partial A_{s}}{\partial s} \cdot \Delta s[/tex]
[tex]\Delta A_{s} = \frac{2\cdot s\cdot \Delta s}{\pi^{2}}[/tex] (4)
Where:
[tex]s[/tex] - Measure circumference, in centimeters.
[tex]\Delta s[/tex] - Possible error in circumference, in centimeters.
If we know that [tex]s = 82\,cm[/tex] and [tex]\Delta s = 0.5\,cm[/tex], then the maximum error is:
[tex]\Delta A_{s} \approx 8.3083\,cm^{2}[/tex]
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
The gardening club set a goal of raising at least $500
in flower sales. So far it has raised $415. How many
more dollars does the gardening club need to raise
to reach its goal?
Answer:
Nxnjsjdndkknnndnnnenndnnd
Answer:
85
Step-by-step explanation:
If you subtract 415 from 500 you get 85.
Therefore the gardening club needs 85$
If you could mark brailiest that would be great, I'm trying to rank up.
Hope I helped:)
HAve a great day:)
Round 7 3/8 to the nearest whole number?!?
Answer:
7
Step-by-step explanation:
Everything including 1/2 and above rounds up to the next whole number.
3/8 < 4/8
7 and 3/8 rounds to 7
Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?
Answer:
36:45
Step-by-step explanation:
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for rin terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution
The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
What is a function?"It defines a relation between input and output values.""In function, for each input values there is exactly one output."What is right triangle?"It is a triangle having one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle,
[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."
For given question,
We need to write a function that models the relationships among x, y, and r.
Consider a right triangle ABC.
where AB = x, BC = y and hypotenuse AC = r
Using Pythagoras theorem,
[tex]x^{2} + y^{2} =r^{2}[/tex]
above function defines the relationships among x, y, and r.
Now we solve above equation for 'r',
[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]
Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
Learn more about function here:
https://brainly.com/question/12431044
#SPJ2
Answer:
Look below!
Step-by-step explanation:
1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)
150 feet.
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)
Pythagorean theorem—>a^2+b^2=c^2
a and b are the legs, while c is the hypotenuse.
x^2+y^2=r^2
Take the root of both sides
r=√x^2+y^2
A rectangular painting has an area of 9.52 feet. What are three different ways in which this can happen. Give three unique length and width not using one.
Answer:
2 x 2 x 2.38
2 x 2.1 x 2.26
6 x .31 x 5.118
What is the area of the figure below?
15 in 2
20 in 2
30 in 2
25 in 2
Answer:
25 [tex]in^{2}[/tex]
Step-by-step explanation: we can move the little triangle on the side to the missing part of the square and it says the length of the little triangle is 2 so we can do 2+3 since the height of the square with the missing side is 3. then we end up with the height being 5 and the base being 5. we know that A=bh so we can do A=5x5 and get 25 in squared
pls mark me branliest!!
Answer:
25ft2
Step-by-step explanation:
[tex]\int\limits^1_0 {e^t^x} \, dx[/tex]
Answer:
all it says is the link
Step-by-step explanation:
Use a ratio box to solve this problem. The road was steep.
Every 100 yards the elevation increased 36 feet. How many
feet did the elevation increase in 1500 yards?
36
Answer:
540 feet
Step-by-step explanation:
[tex]\frac{36}{100} = \frac{x}{1500}[/tex] Cross multipy
100x = 54000
54000/100 = 540
x = 540
The measure of an angle is 89º. Find the measure of its supplement
A) 91 degrees
B) 81 degrees
C) 90 degrees
D) 80 degrees
Answer:
The is A) 91
Step-by-step explanation:
Can someone find the surface area of the composite shape and show work! I’ll give 30pts! Thanks!
Answer:
382 cm²
Step-by-step explanation:
The shape can be decomposed into two rectangular prism or cuboids
✔️Dimension of prism 1 (smaller prism):
L = 10 cm
W = 3 cm
H = 7 - 4 = 3 cm
Surface area of prism 1 = 2(LW + LH + WH)
= 2(10*3 + 10*3 + 3*3)
= 2(69)
Surface area of prism 1 = 138 cm²
✔️Dimension of prism 2 (larger prism):
L = 10 cm
W = 8 cm
H = 4 cm
Surface area of prism = 2(LW + LH + WH)
= 2(10*8 + 10*4 + 8*4)
= 2(152)
Surface area of prism 2 = 304 cm²
✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)
= (138 + 304) - (2 × L × W)
= 442 - (2 × 10 × 3)
= 442 - 60
= 382 cm²
The length of a rectangular box is 1 inch more than twice the height of the box, and the width is 3 inches more than the height. If the volume of the box is 252 cubic inches, find the dimensions of the box. length in width in height in
Answer:
height be 4 in
length be 9 in
ANd, the width be 7 in
Step-by-step explanation:
Let us assume the height of the box be x
So the length would be 2x + 1
And, the width be x + 3
As we know that
The volume of the rectangular box = length × width × height
252 = (2x + 1) × (x + 3) × (x)
252 = (2x^2 + x) × (x + 3)
252 = 2x^3 + 6x^2 + x^2 + 3x
2x^3 + 7x^2 + 3x = 252
2x^3 + 7x^2 + 3x - 252 = 0
after solving this
x = 4
So height be 4 in
length be 9 in
ANd, the width be 7 in
Evaluate 2^9 (2 to the 9th power)
Answer:
512
Step-by-step explanation:
2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
Need help 2w+43,if w=9
Answer:
61
Step-by-step explanation:
2w + 43 = ?, w = 9
Substitute w: 2(9) + 43 = ?Multiply: 18 + 43 = ?Add: 18 + 43 = 61i need help asap!!!!
Answer:
760 inches squared
Step-by-step explanation:
surface area -
4(14 x 10) + 2( 10 x 10) = 560+200=760
ques 1 : x + 1 3/8 = 2 1/4
ques 2 : 13.27 = t - 24.45
ques 3 : 9 = 3/8 × y
please answer them due date today thx
Answer: 1. 29/8
2. 37.72
3. 24
Step-by-step explanation:
1. x + 1 3/8 = 2 1/4
x = 21/4 - 13/8
x = 42/8 - 13/8 [set the denominator equal]
x = 29/8
2. 13.27 = t - 24.45
Rewrite the function as t - 24.45 = 13.27
t = 13.27 + 24.45
t = 37.72
3. 9 = 3/8 × y
Rewrite as 3/8 x y = 9
y = 9/ (3/8)
y = 9 x (8/3)
y = 24
i need help! i’m not sure what’s going on
Answer:one of them is m=3/1 y=3x+10
Step-by-step explanation:i
pls help will mark brainliest
Answer:
80in²
Step-by-step explanation:
Hey There!
So the first step of this problem is to find the width of the scale drawing
To do so we need to find the scale factor
To find the scale factor we divide the length of the room by the length of the scale factor
32/8=4
so the scale factor is 4
now to find the width
40/4=10
so the width of the scale drawing is 10 in
now we can find the area given the length and the width
10x8=80in²
so we can conclude that the area of the scale drawing is 80in²
PLZZZ ANSWER!! Answers for points will be reported.
Triangle KLM has KL = 28, KM = 28, and LM = 21. What is the area of the triangle?
The area of AKLM is about
(Simplify your answer. Round to one decimal place as needed.)
Answer:
272.6Step-by-step explanation:
This is an isosceles triangle with base of 21 and sides of 28.
Area formula
A = 1/2bhFind height:
h = [tex]\sqrt{28^2 - (21/2)^2} = \sqrt{673.75} = 25.96[/tex]Area:
A = 1/2(25.96)(21) = 272.6 (rounded)Uniform Distribution Notation Format Which of the following is the correct notation used for a uniform probability distribution where the smallest value of the random variable X is 9, and the largest value of the random variable X is 28. X - B{9, 28) X - U(28.9) You Answered U - X(9, 28) Correct Answer X - U(9,28)
MUST HELP!!!! (50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROLFILE!!!!
Figure A’B’C’ is an __________________________of figure ABC.
*fill in the blank*
Answer:
similar shape!!!!
Step-by-step explanation:
Answer:
Dialation
Step-by-step explanation:
Dilation is an increase in size, but does not change the shape
What is the greatest common factor of 138 and 345?
Answer:
Step-by-step explanation:
Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...
Why learn this.
Terms and topics. GCF calculator.
Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.
Answer:
69 I believe.
Step-by-step explanation:
A car manufacturer provided information about two different car models
Car A
Car B
у
Gas
(gallons)
Distance
(miles)
0
0
Distance (miles)
350
300
250
200
150
100
50
60
vlund
100
140
X
0
1 2 3 4 5 6 7 8 9 10 11
Gas (gallons)
10
200
The graph and table each show a proportional relationship between the number of miles traveled and the advertised number of gallons of gas used for
the two car models, A and B, respectively
What is the unit rate of Car A?
miles per gallon
What is the unit rate of Car B?
miles per gallon
Answer:
Step-by-step explanation:use Slader if u have a textbook
I need help with this !
Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)
a = 12 m
b = 5 m
c = 13 m
P = 30 m
s = 15 m
K = 30 m2
ha = 5 m
hb = 12 m
hc = 4.6153846153846 m
Step-by-step explanation:
Given a linear equation in the form y = ax, if a > 0 then the greater the coefficient a
a) the greater the slope of the equation
b) the smaller the slope of the equation
WILL MARK BRAINLIEST
c) the longer the line is
d) the shorter the line is