Answer:
y = − x + 7
Step-by-step explanation:
let D be the line that passes through the points (5, 2) and (10, -3)
Then D has an equation of the form D: y = mx + p
Now we need to find m and p in order to be able to write the equation of the line D:
[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]
Since the point (5 , 2) lies on the line D then :
2 = -1 × (5) + p
then
2 = -5 + p
then
p = 2 + 5
= 7
then
p = 7
Conclusion:
Since m = -1 and p = 7
then
[tex]D : y = -x + 7[/tex]
Aluminum can have a capacity of 2.32 L. How many milliliters of soup can it hold? Helpfull tip (1 L = 1,000 mL)
Answer:
2320 mLStep-by-step explanation:
Convert the volume from L to mL according to capacity of the can.
2.32 L = 2.32 * 1000 mL = 2320 mLAnswer:
2320 milliliters
Step-by-step explanation:
1 liter = 1000 milliliters
If the can has a capacity of 2.32 liters, then to calculate how many milliliters it can hold, we need to multiply it by 1000:
⇒ 2.32 liters = 2.32 × 1000
= 2320 milliliters
**To multiply a number by 1000, simply move the decimal point 3 places to the right**
Solve the math problem
Answer:
a no association b non liner c liner d liner
Answer:
A) No association
B) Nonlinear
C) Linear
D) Nonlinear
Step-by-step explanation:
Linear Relationship: A linear relationship is one in which the scatter plot resembles a straight line. When one variable increases, the other variable increases or decreases proportionally.
Nonlinear Relationship: A nonlinear relationship is one in which the scatter plot does not resemble a straight line. It could resemble a curve or it could not resemble anything at all. A proportional increase or decrease in one variable does not result in a proportional rise or decrease in the other variable.
No Association: a graph of data showing discrete (individual) points of data that are not connected.
Using these definitions we can conclude whether the graphs are linear, nonlinear, or no association.
Yo I need to bring up my grade bad so
-3-9=-3y
(please show it graphed already :D)
Answer:
[tex] - 3 - 9 = - 3y \\ - 12 = - 3y \\ y = ( - 12) \div ( - 3) \\ y = 4[/tex]
a scientist plans to study exotic birds in the rain forest. the helicopter flight to and from the rain forest costs$499. supplies costs $122 for each day. how many days can the scientist spend in the rain forest on $1,283 budget ?
Answer:
The scientist would be able to go to the rain forest for only 2 days.
Step-by-step explanation:
The scientist only has 1,283. You subtract 1,283 by 122 and 499 and you are left with 662. The scientist wants to go to the rain forest again so he spends 122 and 499 with 662. All he has left now is 41. He can't afford it anymore.
In experimental studies, we follow a logical method to arrive at a conclusion. Arrange the given steps in the correct sequence.
Answer:
state the problem
ask relevant questions
perform an experiment to collect data
compare with the baseline value of the control group
arrive at a logical conclusion
make a hypothesis
pls help me to answer this
Answer:
225
135
450
270
6750
all the answers
Write a rational expression with denominator (x - 3)(x + 2) that is equivalent to 3x-1/x+2
Answer:
(x-3)(3x-1)/((x-3)(x+2))
Step-by-step explanation:
An equivalent fraction is formed by multiplying or dividing numerator and denominator by the same factor.
__
To get the desired denominator, the given denominator must be multiplied by (x-3). To get the desired numerator of the equivalent fraction, the numerator must also be multiplied by (x-3).
[tex]\dfrac{3x-1}{x+2}=\boxed{\dfrac{(x-3)(3x-1)}{(x-3)(x+2)}=\dfrac{3x^2-10x+3}{x^2-x-6}}[/tex]
find the value of x by factoring x^2-9x-36=0
The expression (2x - 1) (x + 3) - (x + 1) (2x - 3) simplify
[tex](2x - 1) (x + 3) - (x + 1) (2x - 3) \\\\=(2x^2+6x -x -3)-(2x^2-3x +2x -3)\\\\=(2x^2 +5x -3)-(2x^2-x -3)\\\\=2x^2+5x -3 -2x^2+x+3\\\\=6x[/tex]
pls help, photo below. will give brainliest
Solve the following inequality
Answer:
14<x<20
Step-by-step explanation:
14<x<20 is your required answer
HELP please! I need Help. Pre-calc. I'm not sure how to solve this. 50 Points! Please It will be appreciated.
An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?
Group of answer choices
A. 17 inches by 9 inches
B. 17 inches by 8 inches
C. 15 inches by 8 inches
D. 15 inches by 9 inches
[tex]\large{\mathcal{QUESTION:}}[/tex]
An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?
[tex]\large{\mathcal{ANSWER:}}[/tex]
B. 17 inches by 8 inches
The minimum dimensions needed for the sheet of glass are B. 17 inches by 8 inches
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
We are given that elliptical mirror has an eccentricity of 0.8.
Since the mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass,
We can conclude that the minimum dimensions needed for the sheet of glass could be;
17 inches by 8 inches
Learn more about the area;
https://brainly.com/question/1658516
#SPJ2
HELP! Amber was asked to solve the following inequality and show all of her work. She made an error when solving.
2x − 3.5 ≥ 10.5
2x − 3.5 − 3.5 ≥ 10.5 − 3.5
2x ≥ 7
2x ≥ 7(2)
x ≥ 14
- A description of what Amber did wrong and what he should have done instead
- Your work solving the inequality
Amber did wrong at the second and third step : She completely simplify both sides but she has to minus 3.5 twice on the left side in order to do so. But instead, she just make them gone.
Work :
[tex]2x-3.5\geq 10.5 - > 2x\geq 14 - > x\geq 7[/tex]
Which of the following statements about AB and AC is true?
C44)
A(-11)
-5
3
3 4 5
BIO4)
A. AB and AC are the same length
B. AC is longer than AB
OC. AB is longer than AC.
D. AC is 6 units lona.
PREVIOUS
Answer:
C. AB is longer than AC
Step-by-step explanation:
Using the distance formula, find the lengths of both AC and AB.
d=√((x_2-x_1)²+(y_2-y_1)²)
Graph the function using the graphing calculator. find the least positive value of t at which the pendulum is in the center. t = sec to the nearest thousandth, find the position of the pendulum when t = 4.25 sec. d = in.
The least value of the function at which the pendulum is in the center is 0 and the position of the pendulum when t = 4.25 sec. is 4.24
The graph of the functionThe function is given as:
y = 6cos(πt)
See attachment for the graph of the function
The least positive value of tThe value of t is given as: -0.5
From the attached graph, the smallest value of the function when t = -0.5 is 0.
Hence, the least value of the function at which the pendulum is in the center is 0.
The position of the pendulum when t = 4.25 sec.We have:
y = 6cos(πt)
Substitute 4.25 for t
y = 6cos(4.25π)
Evaluate
y = 4.24
Hence, the position of the pendulum when t = 4.25 sec. is 4.24
#SPJ1
Read more about cosine function at:
https://brainly.com/question/10078563
Answer:
t = 6
next one is 5
Step-by-step explanation:
~Hope this helps! :)
PLEASE HELP. WILL GIVE BRAINLIEST !! Find the cross product <-1, -3, -8> x <7,4, -5>. Is the resulting vector perpendicular to the given vectors?
<47, -61, 71>; yes
<41, -59, 77>; no
<-59, 71, 41>; yes
<41, -61, -59>; no
Answer:
Answer:
The cross product is 47 i - 61 j + 17 k.
Step-by-step explanation:
Given that-
a = < -1, -3, -8 > , b = < 7, 4, -5 >
The cross product is
a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤
= i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )
= i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )
= i ( 47) - j (61 ) + k (17)
= 47 i -61 j + 17 k
As we know that if two vectors A & B are perpendicular then
A . B = 0
So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .
Step-by-step explanation:
47, -61, 71>; yes
solve pls brainliest
Answer:
w = 2/7
Step-by-step explanation:
You do 8 divided by 4 over 7, which is 2/7.
1. Convert 8cm³ into m³
2. Convert 0.7m³ into cm³
3. Convert 4000000cm³ into m³
1. Convert 8cm³ into m³
= 8.0E-6 m³
(divide the volume value by 1e+6)
2. Convert 0.7m³ into cm³
= 700000 cm³
(multiply the volume value by 1e+6)
3. Convert 4000000cm³ into m³
= 4 m³
(divide the volume value by 1e+6)
A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?
Answer:
6x=46.50
Step-by-step explanation:
A rectangle that measures 1 foot by 5 feet.
What is the perimeter of the rectangle?
5 feet
6 feet
12 feet
36 feet
Answer:
C. 12 feet
Step-by-step explanation:
If a rectangle measures 1 foot by 5 feet, that means that one side is 1 foot and one side is 5 feet. Since a rectangle has two sets of parallel sides, the other sides of the rectangle will also measure 1 foot by 5 feet.
Adding all of the side lengths will give us the perimeter.
1 + 5 + 1 + 5 = 12
hope this helps :)
pls help me to answer this
Own words*
Answer:
I hope it will help you.
Step-by-step explanation:
Dear Teacher
Your way of setting up with math makes it easier to learn.
There's few lines for you. I hope you like it
An Awesome Math
Teacher Is Hard To Find
Difficult To Part With,
And IMPOSSIBLE To Forget.
MATH may not teach us how to ADD love or SUBTRACT hate but it gives us hope that EVERY PROBLEM has a SOLUTION.
=
2) Solve the system 2x + 5y = 7 and 3x + 4y = 6 by elimination. Which
procedure produces opposite terms to eliminate x? Include proper
justification
Explain step by step
Answer:
I'd times the first equation by 3 and the second equation by 2. Giving:
6x + 15y = 21
6x + 8y = 12
then I'd subtract the second from the first
6x-6x + 15y-8y = 21-12
7y = 9
y = 7/9
then sub y into one of the equations and solve for x.
Answer:
Step-by-step explanation:
Solving simultanius equation by elimination
2x + 5y = 7 -------------(I)
3x + 4y = 6 ---------------(II)
To eliminate x, multiply equation (I) by (-3) and equation (II) by 2. Then add the two equations. Now, 'x' will be eliminated and we can find the value of 'y'.
(I) *(-3) -6x - 15y = -21
(II)*2 6x + 8y = 12 {Now add}
- 7y = -9
y = -9/-7
y = 9/7
Find the surface area of the rectangular prism.
8 mi
2 mi
6 mi
Answer:
mi?
Submit Answer
attempt out of a
Answer:
152
Step-by-step explanation:
2*( (8*2) + (8*^) + (2*6))
PLEASE HELP ME TO FIND THE VALUE OF X AND Y
Answer:
x=85/5
x= 17
y=95/5
y=19
Step-by-step explanation:
vertically opp angles are equal
Answer:
vertical angles here make an X
1. 5y and 95 are vertical
2. 5x and 85 are vertical
3. x = 17
4. y = 19
.
Step-by-step explanation:
angles MPL and NPO are equal
5x = 85
x = 17
angles MPN and LPO are equal
5y = 95
y = 19
what is the value of the expression below 2816 * 7
Answer: 19,712
Step-by-step explanation: 2816 times 7 = 19712
Answer:
19,712
With multiplication, you have to follow 4 easy steps to get your answer, as listed below.Count the number of decimal places in both the multiplicand, and the multiplier.Remember to ignore decimals, you need to right align the numbers one on top of the other as if they were integers.Multiply the numbers using long multiplication, an algorithm.Make sure to insert a decimal point into the product, your final result, so that it has the same number of decimal places equal to the total of decimal places from step 1.________________________________________________________
What have we learned?We learned the four steps to solving a multiplication problem, which can be helpful here, and in the future.
Questions?Ask me in the comments box.
x^4+ 4x² – 45 =0
factored form (x² - 5)(x² +9)=0
does anyone know how to solve this?
Answer:
[tex]( {x}^{2} - 5)( {x}^{2} + 9) = 0 \\ {x}^{2} - 5 = 0 \: \: \: \: \: \: \: \: {x}^{2} + 9 = 0 \\ {x}^{2} = 5 \: \: \: \: \: \: \: \: {x}^{2} = - 9 \\ x = \sqrt{5} \: \: \: \: \: \: \: \: x = \sqrt{ - 9} [/tex]
I need help on number 16 these instructions say to solve these equations by cross multiplying
Answer:
15. x = 4
16. a = 19
Step-by-step explanation:
"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."
__
15.[tex]\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}[/tex]
This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:
x = 6(2/3) = 4
That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.
__
16.[tex]\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}[/tex]
Find the slope of the line that passes through the points (-1, 2),
(0, 5). Show work
To find the slope:
⇒ must know the slope's formula
⇒ [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
⇒ [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] are any points on the line
⇒ we use (-1,2) and (0,5) since they are the only points that we
know that are on the line
[tex](x_{1} ,y_{1} )[/tex]: (-1,2)[tex](x_{2} ,y_{2}[/tex]): (0,5)Let's solve:
[tex]Slope = \frac{5-2}{0--1} =\frac{3}{1}[/tex]
Slope is 3
Hope that helps!
Calculatep the perimeter of the figure
Answer:
76 m
Sorry if this answer is not correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
First of all, we know all of the sides already except for two, so we need to find them. (The side on the very left and top).
The side on the very top is 18 since the top and bottom are the same lengths. This also implies to the side on the very left. The sides (4+4+4) is equivalent to the side we are trying to find. We now know it is 12.
Second, to find the perimeter of almost every shape, we add all of the sides together.
18+4+8+4+8+4+18+12
This gives the answer of 76 m. (don't forget the label!)
Locate root 9.8 on number line
Answer: See attached
Step-by-step explanation:
"Root 9.8" means the square root of 9.8, [tex]\sqrt{9.8}[/tex].
Since we are being asked to find it on the number line, I am guessing they want us to estimate. We know that the square root of 9, [tex]\sqrt{9}[/tex], is equal to 3. Since 9.8 is slightly bigger than 9, the square root of 9.8 will be a little bit over 3.
Want to confirm? Using a calculator for the square root of 9.8 gives us 3.13.