Answer:
slope=15÷10=1.5 or 3/2
Step-by-step explanation:
slope=rise÷run
10 right 15 up
slope=15÷10=1.5 or 3/2
The slope is calculated as the ratio of the rise and run. The slope of the given line will be [tex]\dfrac{3}{2}[/tex].
In mathematics, slope refers to the measure of the steepness or inclination of a line. It describes how much a line slants or rises/falls as it moves horizontally.
A positive slope means the line is upward-sloping, rising from left to right, while a negative slope indicates a downward-sloping line.
The slope can be calculated by the ratio of the rise and the run. The points on the given graph are A(10,30) and B(20,45). The slope is calculated by the formula written below,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line is calculated below
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}\\m = \dfrac{45-30}{20-10}\\m = \dfrac{3}{2}[/tex]
The slope of the line will be [tex]\dfrac{3}{2}[/tex].
To know more about slope follow
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-6p-3=9 what does p equal
Answer:
-2
Explanation:
-6 x -2 = 12
12 - 3 = 9
Answer:
p=-2
Step-by-step explanation:
Move the -3 to the other side by adding 3 on both sides:
-6p-3+3=9+3
The equation now looks like this:
-6p=12
Divide -6 on both sides:
-6p/-6=12/-6
The equation now looks like this:
p=-2 which is the answer
Hope this helps!
Two customers went to an auto body shop. The first customer paid $561 for and oil change and four new tires. The second customer paid $303 for an oil change and two new tires. What is the cost of an oil change?
78
Step-by-step explanation:
Convert this decimal into its fractional form, simplified completely.
0.125
Answer:1/8
Step-by-step explanation:
If we divide both the top and the bottom by 5 since we know that 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40 we then simplify to get 1/8.
I NEeD HeLp
3 and 1/2 - 1 and 1/3 HeLp ill mark you i swear
A popular Web site reached 7.5 million users during the week of March 7, 2011. This number represents a 33 percent increase from the week before. How many users did the Web site have the week before?
Answer:
5.7 million
Step-by-step explanation:
Let the number of users be x
x + 33% of x = 7.5 million
x + 0.33x = 7.5 million
1.33x = 7.5
x = 7.5/1.33
x = 5.7 million
Subtract f(x) and g(x) when:
f(x) = 3.2 + 2x - 8 and g(x) = 72 – 8x + 4
f(x) - g(x) =
Step-by-step explanation:
The answer is
[tex]10x - 80.8[/tex]
Round 150,893 to the nearest thousand.
Answer:
151,000
Step-by-step explanation:
A quart of milk costs $1.89. What is the total cost for 20 quarts of milk?
A local florist buys a dozen roses for x dollars. He plans to sell the roses at a 40 % mark-up. What expression shows the selling price of the one dozen roses?
Answer:
1.40x I think :)
ez pts
Write in radical form, then simplify the resulting radical and rationalize the denominator if need be:
312
Answer:
well first 312 in radical form is √312 and that simplified is 2√78 or 17.66352173
Step-by-step explanation:
I need help plz answer
Answer:
10x+5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since this is a test/homework, I'll give a hint:
For this problem, you need to know what a coefficient, and what a constant is.
Coefficient: A number that is mutiplied by a variable
Ex: 7x
Constant: A number that is alone, decimal, fraction, etc, is not mutiplied with any number
Ex: 7x+5
HELP PLEASE, I CANT FAIL THIS.
Answer:
1. complementary angles
2. vertical angles
i am not sure about question 3. 4. 5
3.
4.
5- (not sure)
6. c
Step-by-step explanation:
pls help im new so pls can u help me
Factorise
x^2+18x+80
Answer:
(x + 10)(x + 8)
Step-by-step explanation:
Given
x² + 18x + 80
Consider the factors of the constant term (+ 80) which sum to give the coefficient of the x- term (+ 18)
The factors are + 10 and + 8 , since
10 × 8 = + 80 and 10 + 8 = + 18 , then
x² + 18x + 80 = (x + 10)(x + 8) ← in factored form
Four friends were born in consecutive years. The sum of their
ages is 94. What is the age of the oldest friend?
Answer:
25
Step-by-step explanation:
Since they were born on consecutive years, their ages are 4 consecutive whole numbers. Let the lowest age be x. Then the other ages are x + 1, x + 2, and x + 3.
Now we add the 4 expressions and set the sum equal to 94.
x + x + 1 + x + 2 + x + 3 = 94
4x + 6 = 94
4x = 88
x = 22
The youngest one is 22.
The oldest one is
x + 3 = 22 + 3 = 25
Answer: 25
What question do you ask a basketball player from Indiana?
9514 1404 393
Answer:
WHOOSIER COACH
Step-by-step explanation:
Linear pairs are supplementary. Vertical angles are congruent. An angle is the sum of its parts.
(a) C: supplementary to 138°, 180° -138° = 42°
(b) O: congruent to 138°
(c) R: supplementary to 32°, 180°-32° = 148°
(d) H: congruent to 32°
(e) S: complementary to 28°, 90° -28° = 62°
(f) O: supplementary to 122°, 180° -122° = 58°
(g) W: congruent to 122°
(h) C: supplementary to 28°, 180° -28° = 152°
(i) I: supplementary to 60°, 180° -60° = 120°
(∠TSW) E: supplementary to a right angle: 180° -90° = 90°
(∠TSU) O: half the complement of 20°, (90° -20°)/2 = 35°
(∠USW) H: complement of ∠TSU, 90° -35° = 55°
(∠RSV) A: supplement of ∠VSW = 180° -35° = 145°
__
The desired order of the letters corresponds to the sequence of angles ...
122°, 55°, 58°, 35°, 62°, 120°, 90°, 148°, 71°, 152°, 138°, 145°, 42°, 32°
WHOOSIER_COACH
what is 85% of 250$
Step by step plsss
Answer:
213
Step-by-step explanation:
Answer:
212.5
Step-by-step explanation:
250*.85 = 212.5
5x+20=55 what does x equal?
Answer:
5x+20=55
5x=55-20
x=30/5=7
Answer:
x = 7
Step-by-step explanation:
5x + 20 = 55
- 20 - 20
5x (÷5) = 35 (÷5)
x = 7
-4x-12<12 this is equations and inequalities and I really need help LOL
Answer:
[tex]x>-6[/tex]
Step-by-step explanation:
[tex]-4x-12<12[/tex]
[tex]-4x-12+12<12+12[/tex] (Add [tex]12[/tex] to both sides of the inequality to isolate [tex]x[/tex])
[tex]-4x<24[/tex] (Simplify)
[tex]\frac{-4x}{-4}<\frac{24}{-4}[/tex] (Divide both sides of the inequality by [tex]-4[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x>-6[/tex] (Simplify, don't forget to flip the sign of the inequality when multiplying or dividing by a negative number)
Hope this helps!
Select all ordered pairs that correspond to input-output pairs of the function y = -9x + 3.
(8, 2)
(-33, 4)
O (5, -1)
(6, -51)
solve the matrix and prove that it is equal 0
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}[/tex][tex] \underline{ \underline { \text{To \: Find}}} : [/tex]
[tex] \sf{ {A}^{2} - 5A+ 22I= 0}[/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.
[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]
Now , LEFT HAND SIDE ( L.H.S )
[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]
⟼ [tex] \sf{0}[/tex]
RIGHT HAND SIDE ( R.H.S ) : 0
L.H.S = R.H.S [ Hence , proved ! ]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
Step-by-step explanation:
\underline{ \underline{ \text{Given}}} :
\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}
\underline{ \underline { \text{To \: Find}}} :
\underline{ \underline{ \text{Solution}}} :
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}
. Again , Interchange it's rows and columns in order to find ' A '.
\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}
Now , LEFT HAND SIDE ( L.H.S )
\tt{ {A}^{2} - 5A+ 22I}
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}
⟼ \sf{0}0
RIGHT HAND SIDE ( R.H.S ) : 0
What is the solution to the equation 3(x+2)=12
Answer:
I think its, x = 2?
Step-by-step explanation:
Im not quite sure.... Sorry if i get it wrong
Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
y
6
2
12
4
30 10
2
y
3 1.8
7 4.2
9 5.4
y
1.2
4
8
2.4
13 3.9
Answer:
The question is unclear. Please provide the table.
Mary and Alice are playing a card game. Mary has 21 points. She has 9 points less than Alice.
How many points does Alice have?
Enter your answer in the box.
_______ points
Answer:
30
Step-by-step explanation:
I love math its my fav subject. Facts: P:21+9=30. The check, 30-9=21.
The slope below the line is -1/7. Write a point-slope equation of the line using the coordinates on the labeled point.
Answer: y – 3 = –1/7(x – 3)
An airplane flies with a constant speed of 620 miles per hour. How long will it take to
travel a distance of 310 miles? Give your answer in minutes or hours.
Answer:
30 minutes
Step-by-step explanation:
Alright lets start by laying out what the problem gives us :
A plane flies 620 mph.
It is asking how long it will take to travel 310 miles.
We need to give our answer in minutes or hours.
So lets take mph and look at the full meaning "Miles per hour"
An hour has 60 minutes in it.
So really it is saying miles per 60 minutes as well as miles per hour
So you could say the plane is traveling 620 miles every 60 minutes.
So now lets look at the number 310.
Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!
So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.
Alright now lets divide both the number of miles and number of minutes :
620 miles per 60 minutes
divided by 2 both miles and minutes
310 miles per 30 minutes
So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!
I hope this helps and I could help you understand it. :)
If you have any questions feel free to comment or dm me.
Which of these is a trinomial?
O A. x + 2y2 - 7
B. 5xy
C. 2x3 - 7y3
D. 2x - 7
Answer is Opition A
That is x + 2y2 - 7
Hope it is useful
Answer:
x + 2y2 - 7
Step-by-step explanation:
Ape-x
What are one-step equations examples? (I need at least 2 examples)
Answer:
add equation k + 22 = 29 k + 22 = 29 k+22=29
Subtraction equation p − 18 = 3 p - 18 = 3 p−18=3
Step-by-step explanation:
please help, and i will mark you BRAINLIEST
Twenty less than the product of 6 and a number *
A. 20 - 6n
B. 6/n - 20
C. 6n - 20
D. 20 - 6/n
Answer:
It will option C this is correct answer 6n-20
Answer:
c
Step-by-step explanation:
7. Describe and correct the error made in identifying the property.
(2•x) • 4 = 2 • (x •4)
Commutative Property of Multiplication
Answer:
45
Step-by-step explanation:
pls help has to be in a fraction ill give brainliest.
Answer:
-5/4
Step-by-step explanation:
slope = -4 - (-29) / -10 - 10
slope = 25 / -20
slope = -5/4