Answer:
m = -1
Step-by-step explanation:
First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept
x-y = 6
subtract x from each side
-y = -x+6
Multiply each side by -1
y = x-6
The slope is 1
Perpendicular lines have slopes that multiply to -1
m * 1 = -1
m = -1
The slope of the perpendicular line is -1
write a quadratic equations given the roots 5/2 and 9
Answer:
(x-5/2)(x-9).
x^2-5/2x-5/2x+45/2.
Multiply the number by 2.
which is 2(x^2-5/2x-5/2x+45/2).
2x^2-5x-5x+45.
2x^2-10x+45.
There are five consecutive odd integers. The sum of the three smallest is 3 more than the sum of the two largest. Find the integers. 15 points
Answer:
11 13 15 17 19
Step-by-step explanation:
We will solve this word problem using 2k+1 which is one of the general forms of an odd integer.
Let 2k+1 be the first odd integer.
(2k+1) + (2k+3) + (2k +5) = (2k+7) + (2k +9) + 3 (the +3 is to accommodate for the left side being 3 more than the right)
Solve for k
6k + 9 = 4k + 19
6k - 4k + 9 = 4k-4k + 19
2k + 9 = 19
2k + 9 - 9 = 19 - 9
2k = 10
2k/2 = 10/2
k = 5
To get the first digit in the series plug in 5 for k
2k+1
2(5) + 1
10 + 1 = 11
So our series is 11, 13, 15, 17, 19
Let's test it.
11 + 13 +15 = 39
17 + 19 = 36
So we are correct, the first 3 integers are 3 more that the sum of the last 2.
Answer:
11, 13, 15, 17, 19
Step-by-step explanation:
I am doing this in my RSM homework, just saying this is correct. I guessed and checked to do this.
m3 = 64
What’s the value of m
Answer:
m =64/3
Step-by-step explanation:
m=21 1/3 m=21.3
Solve for x
4r – 9 – 6x = 21
Answer:
X= 30-4r/-6
Step-by-step explanation:
1. Move the 9 to the other side. (21+9=30)
2. subtract the 4r and move it to the other side (-6x=21-4r)
3. divide both sides by -6
Mrs. Santiago wants to buy a new dining room table. She is trying to decide between a large table that costs $548.00 and a smaller table that costs $135.00. How much money will Mrs. Santiago save if she buys the smaller table?
Answer:
$413
Step-by-step explanation:
548
- 135
413
Answer:
413.00
Step-by-step explanation:
Subtract.
548.00 minus 135.00 is 413.00.
That is the answer.
Perform the indicated operation. 11(-2), 22, 9, -22, -9 which one us it
Answer:
-22
Step-by-step explanation:
When numbers are placed closed like that, and have a parenthesis, you will multiply.
11(-2) = 11 * -2 = -22
-22 is your answer.
~
Answer:
[tex]\Huge \boxed{-22}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]11(-2)[/tex]
Multiplying,
[tex]\Longrightarrow \ \ 11*-2[/tex]
[tex]\Longrightarrow \ \ -22[/tex]
[tex]\rule[225]{225}{2}[/tex]
58 POINTS!!! The line contains the point (8,2) and is parallel to a line with a slope of -2/3 The equation of the line is
Answer:
The answer is
[tex]y = - \frac{2}{3} x + \frac{22}{3} [/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
Since the lines are parallel their slope are also the same
So the slope of parallel line = - 2/3
So the equation of the line containing the point (8 , 2) and slope - 2/3 is
[tex]y - 2 = - \frac{2}{3} (x - 8) \\ y - 2 = - \frac{ 2}{3} x + \frac{16}{3} \\ y = - \frac{2}{3} x + \frac{16}{3} + 2[/tex]
We have the final answer as
[tex]y = - \frac{2}{3} x + \frac{22}{3} [/tex]Hope this helps you
Slope intercept form: y = mx + b
Parallel lines have the same slope, so the slope is -2/3.
We can solve using point slope form.
y - 2 = -2/3(x - 8)
y - 2 = -2/3x + 16/3
y = -2/3x + 22/3
Best of Luck!
what are all the names that apply to 1/8 Irrational,Integer,Whole,Real, Or irrational
Answer:
Rational NumberReal numbersStep-by-step explanation:
Write an equation in slope-intercept form for the line that passes through the point ( 2 , 3 ) and is perpendicular to the line − 5 x + 4 y = − 3 .
The slope of a line in standard equation will be [tex]\frac{-A}{B}[/tex]
[tex]m=\frac{5}{4}[/tex]
The slope of a perpendicular line to this line will be opposite and reciprocal.
[tex]m=-\frac{4}{5}[/tex]
Then, we can plug in the point given to get the [tex]b[/tex] value.
[tex]3=-\frac{4}{5}(2)+b[/tex]
[tex]3=-\frac{8}{5}+b[/tex]
[tex]b=\frac{23}{5}[/tex]
[tex]y=-\frac{4}{5}x+\frac{23}{5}[/tex]
Hope this helps.
頑張って!
Write an absolute value equation that has the solutions $x=8$ and $x=18$
Answer:
Step-by-step explanation:
Let |x-a|=b
then x-a=±b
so x-a=b
or x=a+b
so a+b=18 ...(1)
and x-a=-b
or x=a-b
or a-b=8 ...(2)
adding (1) and (2)
2a=26
a=26/2=13
subtract (2) from (1)
2b=10
b=10/2=5
|x-13|=5
you roll a die what is the probability a prime number will come up?
Answer:
1/2 or 50%
Step-by-step explanation:
Total numbers: 1 to 6
Prime numbers: 2, 3, 5
Possible outcomes= 6Favorable outcomes = 3Probability
3/6 = 1/2 or 50%HELP! WILL GIVE BRAINLIEST IF YOUR ANSWER IS RIGHT Maria lives in Mexico. Both of her parents are Mexican. Maria is a Mexican citizen. She was born in an American hospital when her parents were on a short vacation in San Diego, California. Was Maria an American citizen at birth? Explain your answer.
Yes, Maria was a "citizen" of America.
What is citizenship?A legal status and relation between an individual and a state that entails specific legal rights and duties.
Given that, Maria lives in Mexico. Both of her parents are Mexican. Maria is a Mexican citizen. She was born in an American hospital when her parents were on a short vacation in San Diego, California.
The answer is yes,
A child born in American soil will be an American citizen.
Hence, Maria an American citizen at birth.
For more references on citizenship, click;
https://brainly.com/question/18099945
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Which refers to the rate of change in velocity?
Answer:
acceleration refers to the rate of change in velocity
The table shows the values of two quantities for an astronaut on Earth and Earth's moon. Which of the following names the quantity and correctly explains why that represents the astronaut's mass? Quantity A, because it remains the same throughout Quantity B, because it is independent of other quantities Quantity B, because it changes with gravitational strength Quantity A, because it measures the force acting on the astronaut
Answer:
A.
Step-by-step explanation:
the answer is A. because in space, the whole thing is the same amount of density. except for the sun but the question says earth and moon. hop this helps!!! please give me brainliest answer!!!
Quantity A because it changes with gravitational pull.
Given that, the Astronaut's mass of quantity A on earth is 70 units and on the moon is 70 units.
The Astronaut's mass of quantity B on earth is 686 units and on the moon is 112 units.
What happens to an astronaut's mass in space?We can measure weight here on Earth, but not in the microgravity environment on the International Space Station. Mass plays a critical role in the activities and experiments performed by the astronauts. Mass does not change whether it is measured on Earth or the ISS.
Now, mass defines the constitutive matter of an object. It is immutable (does not change). Although it could be converted into energy, the matter is constant.
On the other hand, the weight of an object (gravitational force) depends on the acceleration due to gravity.
That is why an astronaut weighs about three times more on earth than on Mars. The gravitational acceleration on Mars is about one-third that on earth.
Therefore, Quantity A because it changes with gravitational pull.
To learn more about the Astronaut's mass visit:
https://brainly.com/question/4783520.
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Solve for h : -37+h=-2
Answer:
h = 35
Step-by-step explanation:
Step 1: Write out equation
-37 + h = -2
Step 2: Add 37 to both sides
-37 + 37 + h = -2 + 37
h = 35
Given:
p: Two linear functions have different coefficients of x.
q: The graphs of two functions intersect at exactly one point.
Which statement is logically equivalent to q-p?
If two linear functions have different coefficients of x, then the graphs of the two functions intersect at exactly one
point.
O If two linear functions have the same coefficients of x, then the graphs of the two linear functions do not intersect
at exactly one point.
If the graphs of two functions do not intersect at exactly one point, then the two linear functions have the same
coefficients of x.
O If the graphs of two functions intersect at exactly one point, then the two linear functions have the same
coefficients of x.
Answer:
Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B? The initial values of the two functions are different, and the rates of change of the two functions are also different. The initial values of the two functions are different, and the rates of change of the two functions are the same. The initial values of the two functions are the same, and the rates of change of the two functions are different. The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
For Elizabeth's lemonade recipe, 4 lemons are required to make 2 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?
Answer:
2 lemons per cup
Step-by-step explanation:
4/2 is two.
Answer:
2 lemons per cup
Step-by-step explanation:
How do u say 0.99999999 in words
Answer:
Zero Point Nine Nine repeating?
Step-by-step explanation:
1. Write the fraction 8/10 in simplest form.
A. 16/20
B. 2/5
C. 4/5
D. 2/10
Answer:
Step-by-step explanation:
C.
Answer:
C 4/5
Step-by-step explanation:
Divide the numerator and denominator by 2
8/2=4
10/2=5
4/5
Hope this helps :-)
I need help PLEASE help mel
Answer:
A) The first checkbox
B) The first and third checkbox
Step-by-step explanation:
A) [tex]\frac{-5}{-4}[/tex] ⇒ the negative would cancel/cross out and leave you with [tex]\frac{5}{4}[/tex]
B) Look for one negative sign in either the numerator or denominator.
Is there a known infinite product for e? What I mean is, it’s similar to an infinite series.
"e" is an irrational number because it cannot be seen as a quotient of two integers. In the bright side, it can be shown as a continued fraction. "e" may also be used as an infinite product, infinite series, and any other limit to any sequence.
Best of Luck!
I need help to find the slope between these two points
Answer:
11/2
Step-by-step explanation:
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]
Question Given the following functions f(x) and g(x), find (f ° g)(x).
f(x)=-x^2-x+7
g(x)=5x+4
Answer:
Step-by-step explanation:
g(x) = 5x + 4
f(5x + 4) = (5x + 4)^2 - (5x + 4) + 7
25x^2 + 40x + 16 - 5x - 4 + 7
25x^2 + 35x + 19
what is 7 × 5 + (3 × 5)
7 x 5 + (3 x 5) First do the parenthesis
7 x 5 + 15 Next do multiplication (left to right)
35 + 15 Last add the two remaining numbers
50
Answer : 50
Name the position held by the digit 5 in each numeral.
a. 952
b. 5,432
c. 115
d. 50,768
e. 113,598
f. 5,027,649
Answer:
a. 952= 50 or tens
b. 5,432= 5000 or thousands
c. 115= 5 or ones
d. 59,768= 50000 or tens of thousands
e. 1113,598= 500 or hundreds
f.5,027,649= 5000000 or million
A candidate scored 32 marks out of 80.find his percentage score
Answer:
40%
Step-by-step explanation:
Take the amount over the total
32/80
.4
Change to percent form by multiplying by 100
40 %
Since cos(x) is the derivative of sin(x), then integral 16 sin^2(x) cos(x) dx can be done by substituting u = sin (x) sin (x) and du = cos (x) cos (x)^dx. With the substitution u = sin(x), we get integral 16 sin^2 (x) cos(x) dx = 16 integral u^2 du. which integrates to + C. Substituting back in to get the answer in terms of sin(x), we have integral 16 sin^2 (x) cos (x) dx = + C.
Complete
Find the integral of [tex]f(x) = 16sin^2 (x ) cos(x) dx[/tex]
Answer:
The solution is [tex]\frac{16}{3} sin^{3}x + c[/tex]
Step-by-step explanation:
So
[tex]Let \ u = sin(x)[/tex]
=> [tex]\frac{du}{dx} = cos (x)[/tex]
=> [tex]du = cos(x)dx[/tex]
So
[tex]\int\limits {16sin^2 (x ) cos(x) dx} \, \equiv \int\limits {16u^2 du}[/tex]
=> [tex]\int\limits {16u^2 du} = 16 [\frac{u^3}{3} ] + c[/tex]
Now substituting sin(x) for u
[tex]\frac{16}{3} u^3 + c = \frac{16}{3} sin^{3}x + c[/tex]
So the integral of [tex]f(x) = 16sin^2 (x ) cos(x) dx[/tex] is
[tex]\frac{16}{3} sin^{3}x + c[/tex]
if a dog food costs 0.75 per pound, and dog bones cost 1.75 each, what is the cost of 2 bones and 25 pounds of dog food?
Answer:
2 bones and 25 pounds of dog food would cost $22.25
Step-by-step explanation:
Solve the equation for a 62=a(25-0)(25-50)
what exponent will make this true? Enter your naswer in the box 10?=1,000
Answer:
10 to the 2nd power
Step-by-step explanation: