Answer:
C
Step-by-step explanation:
Both points y is -2 so the answer is
the line y = -2.
Answer: the correct option is
(c) y = -2.
Step-by-step explanation: We are given to find the equation of a line that contains the points (2, -2) and (0, -2).
We know that
the slope of a line containing the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
So, the slope of the given line is
[tex]m=\dfrac{-2-(-2)}{0-2}=\dfrac{0}{-2}=0.[/tex]
Since the line has a point (2, -2) on it, so its equation will be
[tex]y-(-2)=m(x-2)\\\\\Rightarrow y+2=0(x-2)\\\\\Rightarrow y+2=0\\\\\Rightarrow y=-2.[/tex]
Thus, the required equation of the line is [tex]y=-2.[/tex]
Option (c) is CORRECT.
How do you solve 11-.5y=3+6x for y
Answer:
y= 1.6
Step-by-step explanation:
First you make x=0 and then since x=0 you plug it in the equation
11-5y=3+6(0)
11-5y=3
now you swing the 11 to the other side
-5y=3-11
-5y=-8
now you divide -8 by -5 to isolate the variable
y= 1.6
What is the equation of the line shown on the graph?
A. y=x
B. y=4x
C. y=-x
D. y=1/4x
Answer:
B. y = 4x
Step-by-step explanation:
** 4 blocks = 1 unit [vertically]
Starting from the origin, you do rise\run by moving four blocks north over one block east. This graph is an example of what is known as direct variation.
I am joyous to assist you anytime.
Answer:
It would be A y=x
Step-by-step explanation:
Mike watches a caterpillar climbing on a tree trunk. He writes the expression -5/8 - (-1/8 - 1/2) to show the change, in feet, of the caterpillar’s height on the tree trunk. Which of the following expressions are equivalent to
-5/8 - (-1/8 - 1/2) ?
Choose all that apply.
A. -5/8 + (1/8 + 1/2)
B. -5/8 + 5/8
C. -5/8 - (1/8 + 1/2)
D. -5/8 - (-1/8 + (-1/2))
E. -5/8 + (1/8 - 1/2)
F. -5/8 - 1/8 - 1/2
Answer:
A. [tex]\frac{-5}{8}+(\frac{1}{8}+\frac{1}{2})[/tex]
B. [tex]\frac{-5}{8}+(\frac{5}{8})[/tex]
D. [tex]\frac{-5}{8}-(\frac{-1}{8}+(\frac{-1}{2}))[/tex]
Step-by-step explanation:
- Mike watches a caterpillar climbing on a tree trunk
- He writes the expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex]
- We need to find the equivalent expressions to this expression
A.
∵ The expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex] has a
common sign negative in the bracket
∴ [tex]\frac{-5}{8}-(-)(\frac{1}{8}+\frac{1}{2})[/tex]
∵ (-)(-) = (+)
∴ [tex]\frac{-5}{8}+(\frac{1}{8}+\frac{1}{2})[/tex]
∵ The expression [tex]\frac{-5}{8}+(\frac{1}{8}+\frac{1}{2})[/tex] is
equivalent to the expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex]
B.
∵ In the expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex], lets
add the two terms in the bracket
[tex](\frac{-1}{8}-\frac{1}{2})=(\frac{-1}{8}-\frac{1(4)}{2(4)})=(\frac{-1}{8}-\frac{4}{8})=(\frac{-5}{8})[/tex]
∴ The expression = [tex]\frac{-5}{8}-(\frac{-5}{8})[/tex]
∵ (-)(-) = (+)
∴ The expression = [tex]\frac{-5}{8}+(\frac{5}{8})[/tex]
∴ The expression [tex]\frac{-5}{8}+(\frac{5}{8})[/tex] is equivalent to
the expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex]
D.
∵ In the expression [tex]\frac{-5}{8}-(\frac{-1}{8}-\frac{1}{2})[/tex], we can
write the bracket as [tex](\frac{-1}{8}-\frac{1}{2})=(\frac{-1}{8}+(\frac{-1}{2}))[/tex]
because (+)(-) = (-)
∴ The expression [tex]\frac{-5}{8}+(\frac{5}{8})[/tex] is equivalent to
the expression [tex]\frac{-5}{8}-(\frac{-1}{8}+(\frac{-1}{2}))[/tex]
* The equivalent expressions are A , B and D
The equivalent expressions to [tex]-5/8 - (-1/8 - 1/2)[/tex] are [tex]-5/8 + (1/8 + 1/2)[/tex], [tex]-5/8 - (-1/8 + (-1/2))[/tex], and [tex]-5/8 + (1/8 - 1/2),[/tex] which correspond to options A, D, and E, respectively.
Explanation:The expression -5/8 - (-1/8 - 1/2) involves the subtraction of a negative number, which is equivalent to addition. We deal with the inner parentheses first, redistributing the minus sign to both terms inside. To find equivalent expressions, we change the subtraction of a negative to addition and check which options comply:
A. [tex]-5/8 + (1/8 + 1/2)[/tex]: This option correctly redistributes the minus sign, changing the subtraction of a negative to addition.D. [tex]-5/8 - (-1/8 + (-1/2))[/tex]: This option is equivalent by distributing the negative sign inside the parentheses properly.E. [tex]-5/8 + (1/8 - 1/2)[/tex]: This option reflects the correct sign change by changing the subtraction of a negative to an addition and adjusting the second term within the parentheses accordingly.Options B, C, and F are not equivalent to the original expression as they either do not adjust the signs correctly or do not respect the original arrangement of terms.
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What is 10 m = _____ mm
Answer:
1000 mm
Step-by-step explanation:
Because the conversion from meters to centimeters is 1 m = 100 cm
And the conversion from centimeters to millimeters is 1 cm = 10 mm
Add zeros and you get 1000 mm
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A rectangular field has an area of 162 m2.
The width of the field is 6 m.
What is the length of the field?
Answer:Length: 27m
Step-by-step explanation:
the formula of area of rectangle is : width*lengthso we just replace the values in the formula162=6*LengthLength=162/6Length=27mThe length of the rectangular field is 27 m.
Area of rectangleThe area of a rectangle is the product of length and width.
[tex]\rm{ Area\ of\ rectangle = Length \times width[/tex]
Given to usA rectangular field has an area of 162 m²The width of the field is 6 m.Length of the rectangular fieldAs given to us the shape of the field is rectangular, also, the width of the field is 6 m. therefore,
[tex]\rm{Area\ of\ rectangular\ field= Length \times width[/tex]
[tex]162\ m^2 = Length \times 6\ m\\\\\dfrac{162\ m^2}{6\ m} =Length\\\\ Length=\dfrac{162\ m^2}{6\ m}\\\\Length = 27\ m[/tex]
Hence, the length of the rectangular field is 27 m.
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classify each of the power functions based on their end behavior (increasing or decreasing) as x = ∞
[tex] f(x) = - 2 {x}^{2} [/tex]
[tex]g(x) = (x + 2 {)}^{3} [/tex]
[tex]h(x) = - 1 +x\frac{1}{2} [/tex]
[tex]j(x) = \frac{1}{2} ( - {x})^{5}[/tex]
Answer: right side behavior:
f(x) is Decreasing
g(x) is Increasing
h(x) is Increasing
j(x) is Decreasing
Step-by-step explanation:
The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial
Sign of leading coefficient (term with greatest exponent):
If sign is positive, then right side is increasingIf sign is negative, then right side is decreasingDegree of polynomial (greatest exponent of polynomial:
If even, then end behavior is the same from the left and rightIf odd, then end behavior is opposite from the left and rightf(x) = -2x²
Sign is negative so right side is decreasing Degree is even so left side is the same as the right side (decreasing)as x → +∞, f(x) → +∞ Decreasing
as x → -∞, f(x) → -∞ Decreasing
g(x) = (x + 2)³
Sign is positive so right side is increasing Degree is odd so left side is opposite of the right side (decreasing)as x → +∞, f(x) → +∞ Increasing
as x → -∞, f(x) → -∞ Decreasing
[tex]h(x)=-1+x^{\frac{1}{2}}\implies h(x)=x^{\frac{1}{2}}-1[/tex]
Sign is positive so right side is increasing Degree is an even fraction so left side is opposite of the right side as it approaches the y-intercept (-1)as x → +∞, f(x) → +∞ Increasing
as x → -∞, f(x) → -1 Decreasing to -1
[tex]j(x)=\dfrac{1}{2}(-x)^5\implies j(x)=\dfrac{1}{2}(-1)^5(x)^5\implies j(x)=-\dfrac{1}{2}x^5[/tex]
Sign is negative so right side is decreasing Degree is odd so left side is opposite of the right side (increasing)as x → +∞, f(x) → +∞ Decreasing
as x → -∞, f(x) → -∞ Increasing
I PROMISE BRAINLIST 20 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Suppose you are building a brick border for a garden by stacking rows of bricks on top of each other. If the height of each brick is 2.5 inches and r represents the number of rows, which algebraic expression would represent the height of the brick wall?
(1 point)
A.)2.5 + r
B.)2.5r + r
C.)2.5
D.)2.5r
D.) 2.5r
You are having r rows with 2.5 inches of bricks.
Darren bought some paint. He used 2 1/4 gallons painting his living room. After that, he had 3 5/6 gallons left. How much paint did he buy?
Answer:
Step-by-step explanation:
Let's pretend this was just whole numbers. So used 2 gallons and had 3 left. Hopefully it's clear you'd have started with 5. It's basically an algebra equation. If we say x is the starting amount then
x-2 = 3
x = 5. Let me know if that doesn't make sense. Now though we can plug in the actual values.
x - 2 1/4 = 3 5/6
x = 2 1/4 + 3 5/6
x = 5 1/4 + 5/6
Now, to add fractions you need to change the denominator. You need to know you can change fractions by multiplying the numerator and denominator by a number. so 1/2 can be 2/4 because 1*2 = 2 and 2*2 = 4. So on you can make it 3/6, 4/8 and on and on and on. This is what we want to use.
We have 1/4 and 5/6. Well, you could try increasing both one by one until you get the same denominator, but a way to do it in one step is to multiply one by the other's denominator. so 1/4 = (1*6)/(4*6) = 6/24 and similarly 5/6 = (5*4)/(6*4) = 20/24. So now we are adding 6/24 + 20/24 = 26/24 or 1 2/24 = 1 1/12. ANyway, now you are adding
5 1/4 + 5/6 = 5 + 1 1/12 = 6 1/12. There is a different way to add fractions, but it's a little more involved and this way always works so that's what I use.
Answer: [tex]6\frac{1}{12}\ gallons[/tex]
Step-by-step explanation:
We can make the conversion from mixed numbers to improper fractions:
Multiply the whole number part by the denominator of the fraction.Add the numerator of the fraction and the product obtained (This sum will be the new numerator).The denominator is the same.Then:
[tex]2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}[/tex]
We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):
[tex]4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12[/tex]
Then:
[tex]\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons[/tex]
To convert this improper fraction to a mixed number:
When you divide 73 by 12 you get a quotient of 6. This will be the whole number.The remainder obtained is 1. This will be the numerator of the fraction. The denominator does not change.Then:
[tex]\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons[/tex]
Can someone help out?
Answer: x is less than or equal to 35.
Step-by-step explanation:
Last year, the school library had a total of x books. Over the summer, the library acquired another 46 books and now has a total of 1,191 books. Which equation could be used to find x, the number of books the library had last year?
Answer:
x+46=1,191 is the equation to solve it you need to do: x+46=1,191
-46 -46 and you would get
x=1145
To find the number of books the library had last year, we can set up an equation: x + 46 = 1,191. By isolating x, we find that the library had 1,145 books last year.
Explanation:To find the number of books the library had last year, we can set up an equation based on the given information. Let x represent the number of books the library had last year. Since the library acquired another 46 books over the summer, the total number of books is now 1,191. We can set up the equation:
x + 46 = 1,191
To find the value of x, we need to isolate it on one side of the equation. By subtracting 46 from both sides, we get:
x = 1,191 - 46 = 1,145
Therefore, the library had 1,145 books last year.
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Given: All snarfs are yelbs. All yelbs are blue.
Migs can be either green or pink. Some slokes
are snarfs. What conclusion can be drawn?
A. Some migs are snarfs.
B. Some snarfs are green.
C. Some slokes are yelbs.
D. All slokes are migs.
Answer:
C. Some slokes are yelbs.
Step-by-step explanation:
Given that ;
All snarfs are Yelbs
All Yelbs are Blue
Migs are Green or Pink
Some Slokes are Snarfs
We can see that some Slokes are related to snarfs hence connected to Yelbs
It will be correct to say that some slokes are yelbs
Answer:
The answer is: C. Some slokes are yelbs.
Step-by-step explanation:
Since all snarfs are yelbs. And some slokes are snarfs. Some slokes are yelbs, because all the yelbs are snarfs.
The answer is: C. Some slokes are yelbs.
HELP PLEASE!!!!!!!!!!!
Earl sold 5 times as many movies tickets this week as he did last week he sold 80 tickets this week. how many tickets did earl sell the week before?
Answer:
16
Step-by-step explanation:
80 divided by 5 equals to 16.
You divide by 5 because Since he sold 80 this week and last week was 5 times less.
Final answer:
Earl sold 5 times as many movie tickets this week as he did the week before, with a total of 80 tickets sold this week. By dividing 80 by 5, it's determined that Earl sold 16 tickets the previous week.
Explanation:
The question relates to Earl who sold movie tickets over two consecutive weeks. He sold 5 times as many tickets this week as he did the previous week, with a total of 80 tickets sold this week. To determine how many tickets Earl sold the week before, we divide the total number of tickets sold this week by 5.
Calculation: 80 tickets ÷ 5 = 16 tickets.
Therefore, Earl sold 16 tickets the week before.
64y-4+2y=-2
solve the equation
Answer:33=y
Step 64u to 2y you get 66y the. -2+4 and you get 2 which is 66y=2. Now divide 66 by two to get 33=y
evaluate the expression when p=-5 and q=10. 20+2q÷p
Answer:
-6
Step-by-step explanation:
p=-5 q=10
20+2q/p
10+2(10)/-5
10+20/-5
30/-5
-6
Hope this helps!
Pete rides his motorcycle with a constant speed of 96 km/h. How far can he travel in 15 minutes?
Answer:
Step-by-step explanation:
Solve the inequality: 4b-8 < 24
Answer:
4b < 32
b < 8 is the solution
HELP ME PLEASEEEEEEE
Step-by-step explanation:
You must first add 20 to all inqualies, leaving u with 0 is greater than or equal to 2x which is also greater than or equal to 40.
Divde everything by 2 to get rid of the 2 from the x
0 divided by 2 is 0, 2x divded by 2 is x, 40 divided by 2 is 20.
Thats the answers
what is the quontet for 1060 divided by 48
When you divide 1060 by 48, your answer will be 22.08333... (repeated decimal) but when rounded, it will either be 22, 22.1, or 22.08 (just for rounding, you do not have to put this in.)
Hope this helped!
Nate
Answer:
22.0833333333 or 22.083 with the line above 3
Step-by-step explanation:
22.0833333333 or 22.083 with a line above the 3 because 1060 divided by 48 is 22.0833333333 repeating 3s
Can someone help me with this word problem?
I know that you have to split up the money between the 3 based on how much work they have done, but I don't understand how to.
(If you answer, please include your work. Thx!)
FYI: I will mark anyone that offers me a useful answer the most brainiest
Answer:
10.56
Step-by-step explanation:add 1.25 and 6 then, add 6 and 1.5 together and last divide by 61
What is the value of x? Identify the missing justifications
Answer:
B. Angle Addition Postulate; Subtraction Property of Equality
Step-by-step explanation:
Given:
[tex]m\angle PQR=x+7\\ \\m\angle SQR=x+3\\ \\m\angle PQR+m\angle SQR=m\angle PQS=100^{\circ}[/tex]
Find: x
Solution:
1. [tex]m\angle PQR+m\angle SQR=m\angle PQS[/tex] - Angle Addition Postulate
2. [tex]x+7+x+3=100[/tex] - Substitution Property
3. [tex]2x+10=100[/tex] - Simplify
4. [tex]2x=90[/tex] - Subtraction Property of Equality
5. [tex]x=45[/tex] - Division Property of Equality
what is the the reciprocal of 4/11
Answer: 11/4
Step-by-step explanation: When we are trying to find the reciprocal of a fraction, we just flip the fraction so that our numerator is on the bottom and our denominator is on the top.
In this case, we can change 4/11 to 11/4 by flipping the fraction.
Therefore, the reciprocal of 4/11 is 11/4.
factor 10c-25, please :)
10c - 25
Take 5 out
5.(2c - 5)
If the arc on a particular circle has an arc length of 3 feet, and the angle
measure of the
Is 60°, what is the circumference of the circle?
OA 3 feet
B. 18 feet
C. 60 feet
D.72 feet
Answer:
B. 18 feet
Step-by-step explanation:
a circle has 360 degrees
so circumference = (360 / 60) * 3 = 6*3 = 18 feet
Answer:
B
Step-by-step explanation:
multiply 60 by three you should get 180 an arch is half of a circle a circle is 360 so cut that in half
A total that is divided into equal groups is called the
Greetings!
In division, the number being divided is considered the dividend, and the number dividing is called the divisor. The answer is the quotient.
A total that is divided into equal groups is called the dividend.
Hope this helps!
14.51 less than the product of 26 and x
Answer:
26 x -15.51
Step-by-step explanation:
{ (7+3) • 5-4} ÷2+2
Answer:
{ (7+3) • 5-4} ÷2+2
7 + 3 = 10
5 - 4 = 1
10 x 1 = 10
10 divided by 2 = 5
5 + 2 = 7
7 is your ansswer
Answer:
25
Step-by-step explanation:
For this, you would use PEMDAS.
PEMDAS stands for parenthesis, exponents, multiplication, division, addition and subtraction. That is the order that you would do those steps.
So first, you would do what is inside the parenthesis, 7+3 which is equal to 10.
So then, you would have { 10• 5-4} ÷2+2.
You next step would be to multiply 10 and 5. This would give you 50.
So your equation would be {50-4}÷2+2
The next step would be to subtract 4 from 50 which would give you 46. And the next step is to divide 46 by 2 which is 23. And the last step would be to add 2 to 23, which is 25.
So, your answer is 25.
Write 24% as a fraction and as a decimal.
Answer:
Fraction: 24/100
Decimal: 0.24
Hope this helps!
A student of one of the authors earned grades of 63, 91, 88, 84, and 79 on her five regular statistics tests. She earned a grade of 86 on the final exam and 90 on her
class projects. Her combined homework grade was 70. The five regular tests count for 60%
of the final grade, the final exam counts for 10%, the project counts for 15%, and homework
counts for 15%. What is her weighted mean grade? What letter grade did she earn (A, B, C, D,
or F)? Assume that a mean of 90 or above is an A, a mean of 80 to 89 is a B, and so on.
Answer:
Weighted mean grade: 81.2
Letter grade: B
Step-by-step explanation:
5 regular tests:
(63+91+88+84+79) / 5 * 60%
= 405 / 5 * 0.6
= 48.6
Final exam:
86 * 10% = 8.6
Project:
90 * 15% = 13.5
Homework:
70 * 15% = 10.5
So her weighted mean grade is
48.6 + 8.6 + 13.5 + 10.5 = 81.2
The student's weighted mean grade is 81.2, which corresponds to a letter grade of B.
Explanation:To calculate the student's weighted mean grade, we must apply the provided weights to each component. The five tests count for 60%, the final exam counts for 10%, the project counts for 15% and the homework counts for 15%.
First, find the mean of the five regular test scores: (63 + 91 + 88 + 84 + 79) / 5 = 81.
Then, calculate individual contributions by multiplying the scores by the corresponding weights:
Tests: 81 * 0.60 = 48.6Final exam: 86 * 0.10 = 8.6Project: 90 * 0.15 = 13.5Homework: 70 * 0.15 = 10.5Add these to find the student's weighted mean grade: 48.6 + 8.6 + 13.5 + 10.5 = 81.2. As her grade is above 80, her letter grade would be B.
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what are examples ofcomplentary angles
Answer:
Examples are:
Angle ABC is 65 degrees and Angle DEF is 25 degrees.
Angle MNO is 50 degrees and Angle XYZ is 40 degrees.
Step-by-step explanation:
Complementary angles are any two angles that when added together equal 90 degrees. Complementary angles do not have to be next to each other, but they must total 90 degrees.
Simplify by combining like
terms:
3(4x + 5) + 2
Answer:
12x + 17Step-by-step explanation:
3(4x + 5) + 2 use the distributive property: a(b + c) = ab + ac
= (3)(4x) + (3)(5) + 2
= 12x + 15 + 2 combine like terms
= 12x + (15 + 2)
= 12x + 17
Answer: 12x + 17
Step-by-step explanation:
First, distribute the 3 to the values within the parentheses.
3 * 4x = 12x
3 * 5 = 15
The expression now becomes 12x + 15 + 2. Now you can combine like terms by adding 15 and 2, since they both have no variable.
12x + 15 + 2
12x + 17
Therefore, the final answer is 12x + 17.