Answer:
20
Step-by-step explanation:
The distance between two points on the number line is the absolute value of the difference of their coordinates.
coordinate of point D: 9
coordinate of point P: -11
Take the absolute value of their difference. It does not make a difference in which order you subtract the coordinates.
distance = |-11 - 9| = |-20| = 20
Answer: The distance is 20.
When dividing two numbers with the same base
Answer:
you subtract the exponents
x-7/4 =-2 I need helpp
Answer:
x = -1
Step-by-step explanation:
x-7/4=-2
x-7=-8
x=-1
find the zero of the function h(x) = 4x+2
Answer:
[tex]x=-1/2=-0.5[/tex]
Step-by-step explanation:
So we have the function:
[tex]h(x)=4x+2[/tex]
To find the zero(s) of a function, set the function equal to 0 and solve for x. So:
[tex]0=4x+2[/tex]
Subtract 2 from both sides:
[tex]-2=4x[/tex]
Divide both sides by 4:
[tex]x=-1/2=-0.5[/tex]
So, the zero of the function is -0.5.
This means that the graph (a line) crosses the x-axis at (-0.5, 0).
What is the angle of x?
Answer:
Step-by-step explanation:
There are 540 degrees in a pentagon so take 540-(everything there)= 67
Marlene brought a pitcher filled with 10 cups of water to her volleyball game. The paper cups she brought hold Two-thirds of a cup of water each. How many paper cups can Marlene fill with water?
Which math sentence represents the problem?
Two-thirds divided by 10 = 20/30=1/15
10 divided by two-thirds = 30/2=15
10 divided by three-halves = 20/3] 6 and two-thirds
1/10 divided by two-thirds = 3/20
Marlene needs 15 paper cups to fill with water
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Since each paper cups can hold Two-thirds of a cup of water, hence to hold 10 cups of water:
Number of water cups = 10 cups / (two- thirds) = 10 * 3 / 2 = 15
Marlene needs 15 paper cups to fill with water.
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Answer: The answer is B
Step-by-step explanation: got it right on e2020
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Given: A + B = C → A = C - B
→ B = C - A
Use the Double Angle Identity: cos 2A = 2 cos² A - 1
→ (cos 2A + 1)/2 = cos² A
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · 2 cos [(A - B)/2]
Use Even/Odd Identity: cos (-A) = cos (A)
Proof LHS → RHS:
LHS: cos² A + cos² B + cos² C
[tex]\text{Double Angle:}\qquad \dfrac{\cos 2A+1}{2}+\dfrac{\cos 2B+1}{2}+\cos^2 C\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg(2+\cos 2A+\cos 2B\bigg)+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\dfrac{1}{2}\bigg(\cos 2A+\cos 2B\bigg)+\cos^2 C[/tex]
[tex]\text{Sum to Product:}\quad 1+\dfrac{1}{2}\bigg[2\cos \bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A-2B}{2}\bigg)\bigg]+\cos^2 C\\\\\\.\qquad \qquad \qquad =1+\cos (A+B)\cdot \cos (A-B)+\cos^2 C[/tex]
[tex]\text{Given:}\qquad \qquad 1+\cos C\cdot \cos (A-B)+\cos^2C[/tex]
[tex]\text{Factor:}\qquad \qquad 1+\cos C[\cos (A-B)+\cos C][/tex]
[tex]\text{Sum to Product:}\quad 1+\cos C\bigg[2\cos \bigg(\dfrac{A-B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+(C-B)}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-(C-A)}{2}\bigg)[/tex]
[tex]\text{Given:}\qquad \qquad =1+2\cos C\cdot \cos \bigg(\dfrac{A+A}{2}\bigg)\cdot \cos \bigg(\dfrac{-B-B}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1+2\cos C \cdot \cos A\cdot \cos (-B)[/tex]
[tex]\text{Even/Odd:}\qquad \qquad 1+2\cos C \cdot \cos A\cdot \cos B\\\\\\.\qquad \qquad \qquad \quad =1+2\cos A \cdot \cos B\cdot \cos C[/tex]
LHS = RHS: 1 + 2 cos A · cos B · cos C = 1 + 2 cos A · cos B · cos C [tex]\checkmark[/tex]
57 toys are split into groups of 4 toys. What question do we need to answer here? please don't give wrong answers this test is already missing so plssss help!
Answer:
There will be 14 and 1/4 GROUPS of 4 toys created by 57 toys
Step-by-step explanation:
57 toys divided into groups of 4 toys.
57/4= 14.25 or 14 1/4 GROUPs
What property is m+7=7+m
Answer:
Commutative propertyStep-by-step explanation:
The "Commutative Laws" say that when we add then we can swap numbers over and still get the same answer.
Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.
The parabola opens downwards since a=____ and this value is _____ 0.
The choices for the second blank question are:
-less than
-greater than
-equal to
g(x) = -(x + 1)^2 - 3
Let's simplify this equation
g(x) = -(x^2 + 2x + 1) - 3
Distribute the negative sign
g(x) = -x^2 - 2x + 1 - 3
Combine like terms
g(x) = -x^2 - 2x - 2
The value of a = -2 and this value is LESS THAN 0
If 3.x - 7 = 5, then 2x – 1=?
Answer: -2
Step-by-step explanation:
Point A is located at (−5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A'. Which measurement is closest to the distance between point A and point A' in units?
Answer:C) 4.5 units
Step-by-step explanation:
Find the midpoint of the segment with the given endpoints
(- 4.7) and (-1,-1)
The midpoint is?
[tex](8 + 4 + 3) + (6 + 5 + 11) = [/tex]
Answer:
= 37
Step-by-step explanation:
(8+4+3) + (6+5+11)
= 15 + 22
= 37
Write a linear function given in the table below. Use function notation.
First, let's choose two points from the table to solve for our slope.
(0, -1) and (1, 4)
Slope = (4 -(-1)) / (1 - 0) = 5/1 = 5
The slope of our line is equal to 5
So far we have y = 5x + b
To solve for be, we need to plug one of our points into the equation.
-1 = 5(0) + b
Simplify
-1 = b
So, our equation: y = 5x -1
In the figure below, O is between M and P, and N is the midpoint of MO. IF NO=3 and MP = 10, find OP.
Answer:
OP = 4
Step-by-step explanation:
N is the midpoint of MO.
Since NO = 3, then MN = 3, and MO = 3 + 3 = 6
MO + OP = MP
6 + OP = 10
OP = 4
A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment OP is 4 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given the following details as:
O is between M and P.N is the midpoint of MO. NO=3 and MP = 10.Now, from the figure, We have,
Since O is between M and P and N is the midpoint between MO
MP = MN + NO + OP _____(1)
Now,
N is the midpoint of MO so,
MN = N0
N0 = 3 and MP = 10 ____(2)
MN = NO = 3 _______(3)
From (1)
MP = MN + NO + OP
Substituting (2) and (3) in (1)
10 = 3 + 3 + OP
10 = 6 + OP
Subtracting 6 on both sides
10 - 6 = 6 + OP - 6
4 = OP
OP = 4
Thus, OP = 4.
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Translate into a verbal expression:
3x - 2
Answer:
three times a number minus two
Step-by-step explanation:
x= times a number
Please help me!! What is the value of???
-4×3
12÷(-6)???
Answer:
-4x3=12
12÷-6=-2
hope this helps
Use the ALEKS calculator to find 48% of 70. Do not round your answer.
Answer:
its 28
Step-by-step explanation:
hope this helps also u have to divide 70 divided by 48% in order to get 28
Simplify this expression.
6m4 n4
12m
Answer:
18m+n4
Step-by-step explanation:
i think.
Answer: girly im not gonna lie im no mathematician but i came up with 18m 8n i sowy if it's wrong but, you can't blame a girl from trying .
Step-by-step explanation: i combined like terms but im probably still wrong just saying .
Factorize completely
- 3a² + 4a + 4
What is the domain of the function shown on the graph?
A. -10 < x < 2
B. x ≤ 1
C. -∞ < x < ∞
D. x ≤ 2
Answer:
C. -∞ < x < ∞
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values can be any number. Therefore, we have all real numbers as our domain:
(-∞, ∞) or -∞ < x < ∞
Answer:
C. -∞ < x < ∞
Step-by-step explanation:
Plato
Mandy has a piece of ribbon measuring 3.2 m and Cheryl has a piece of ribbon measuring 4.7 m select the point on this number line that represents the ribbon lengths
Answer:
3.2
Step-by-step explanation:
3.2/1
-12=x-1 Please help need help
Answer:
x = -11
Step-by-step explanation:
-12 = x - 1
-12 + 1 = x
x = -11
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 11}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: - 12 = x - 1}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation
[tex] \hookrightarrow{ \sf{x - 1 = - 12}}[/tex]
[tex] \tt{Step \: 2 \: }[/tex] : Move 1 to right hand side and change it's sign
[tex] \hookrightarrow{ \sf{x = - 12 + 1}}[/tex]
[tex] \tt{Step \: 3}[/tex] : Calculate
Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \hookrightarrow{ \sf{x = - 11}}[/tex]
The value of x = 11
Hope I helped!
Best regards! :D
~TheAnimeGirl
PLEASE HELP ALGEBRA 2!!!
Step-by-step explanation:
-4.5x -2y = -12.5 -------(1)
3.25x -y = -0.75 --------(2)
From (2) we can make y the subject of the relation
y = 0.75+3.25x -------(3)
Input 0.75+3.25x into y in (1)
-4.5x -2(0.75+3.25x) = -12.5
-4.5x -1.5- 6.5x = -12.5
-4.5x -6.5x -1.5 = -12.5
-11x = -12.5 +1.5
-11x = -11
x = 11/11
x = 1
If x = 1,substitute 1 into x in (3)
y = 0.75+3.25x
y = 0.75 +3.25(1)
y = 0.75 +3.25
y = 4
x = 1,y = 4
a group of 4 students needs to share 20 paper clips equally. how many paper clip does each students get
Answer:
5 paper clips each
Step-by-step explanation:
20/4 = 5
Answer:
They each get 5
Step-by-step explanation:
Which is the value of 3b² — b when b = 5?
Answer:
The answer is
70Step-by-step explanation:
3b² - b
when b = 5
Substitute the value of b that's 5 into the expression
That's
3(5)² - 5
= 3(25) - 5
= 75 - 5
We have the final answer as
70Hope this helps you
what is 91,007,500 in scientific notation?
Answer:
Step-by-step explanation:
the scientific notation of 91,007,500
9.10075 x 10^7
Please help me ASAP
Answer:
Step-by-step explanation:
Base 5 uses 0, 1 , 2, 3, 4
When we add 2+ 1 = 3
When we add 4 +3 = 7 = 5 +2 . 5 will be carried as 1
4 + 3= 12
In subtraction, 32 - 4
From 2 we cannot subtract 4. So, borrow 5 from 3. So, 2+5 = 7.
7-4=3
32 -4 = 23
I have attached the sums
if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
g(f(x))=___x^2+___x+___
Answer:
Step-by-step explanation:
g(x^2 + 2x - 4)
3(x^2 + 2x - 4) + 1
3x^2 + 6x - 12 + 1
3x^2 + 6x - 11
A person is trying to quit chewing gum. They decide they will have 64 pieces in week 1, but each week have half as many as the week before. The function f represents the number of pieces of gum they will have in week n. What is a reasonable domain for this function? Explain your reasoning.
Function is missing.
It is;
f(n) = ½⋅f(n − 1) for n ≥ 2
Answer:
Domain for this function is;
n ≥ 1
Step-by-step explanation:
We are told They decide they will have 64 pieces in week 1,
Thus;
f(1) = 64
From the function given;
f(n) = ½⋅f(n − 1)
So;
f(2) = ½•f(2 - 1)
f(2) = ½•f(1)
f(2) = ½ • 64
f(2) = 32
Also;
f(3) = ½•f(3 - 1)
f(3) = ½•f(2)
f(3) = ½ × 32 = 16
Looking at the steps, they follow a general pattern of;
f(n) = 64•½^(n - 1) for n ≥ 1
Thus, the domain for the function for n weeks after the first one is n ≥ 1