100 POINTS+BRAINLIEST 8TH GRADE MATH PT 5: WRITE THE EQUATION OF A LINE- this one was strange because the slope is supposed to be a negative fraction but that never appeared in the answer choices so please explain why I got it wrong thanks!!
Answers
Answer:
[tex]\textsf{b.} \quad 3x+5y=2[/tex]
Step-by-step explanation:
Define the given points:
[tex]\textsf{let}\:(x_1,y_1)=(4,-2)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-1,1)[/tex]
Use the slope formula to determine the slope of the line:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-4}=\dfrac{1+2}{-1-4}=-\dfrac{3}{5}[/tex]
Use the point-slope formula to determine the equation of the line.
[tex]\implies y-y_1=m(x-x_1)[/tex]
Substitute the found slope and point (4, -2):
[tex]\implies y-(-2)=-\dfrac{3}{5}(x-4)[/tex]
[tex]\implies y+2=-\dfrac{3}{5}(x-4)[/tex]
Multiply both sides by 5:
[tex]\implies 5(y+2)=-3(x-4)[/tex]
Expand the brackets:
[tex]\implies 5y+10=-3x+12[/tex]
Add 3x to both sides:
[tex]\implies 5y+10+3x=-3x+12+3x[/tex]
[tex]\implies 3x+5y+10=12[/tex]
Subtract 10 from both sides:
[tex]\implies 3x+5y+10-10=12-10[/tex]
[tex]\implies 3x+5y=2[/tex]
Related Questions
Solve the equation
3x-5< 8x-1/2
x+7≤ 4x+1
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Plotting Equivalent Ratios
Mr. Hendricks is plotting equivalent ratios on a coordinate plane. One of the ordered pairs is (3, 5). Which other ordered pair could he plot?
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on a coordinate plane. One of the ordered
pairs is (3,5) Which other ordered pair
could he plot? O (4, 6) O (6,4) 0 (6, 10) 0
(10, 6)
A local gym sells monthly memberships. The function f(x) = −x2 + 18x − 72 models the daily profit in dollars, where x is the number of memberships sold.
Determine the zeros, and explain what these values mean in the context of the problem.
x = 9, x = 18; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 9, x = 18; The zeros represent the number of monthly memberships when no profit is made.
x = 6, x = 12; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 6, x = 12; The zeros represent the number of monthly memberships when no profit is made.
Answers
Answer: the zeros are at (6,0) and (12,0) where no profit is made.
option D
Step-by-step explanation: you can find the zeros ( the x-intercepts), by either graphing out the function or factoring it.
in this scenario, there is no y increase, which means 0 profit.
Solve for N: 8th grade KA math problem. Correct answers only, have a great day
(This problem contains variables and exponents)
Answers
Answer:
n = 5
Step-by-step explanation:
1) Use power rule: [tex](x^a)^b=x^{ab}[/tex].
[tex]z^{2n}=z^{10}[/tex]
2) Cancel the base of z on both sides.
2n = 10
3) Divide both sides by 2.
[tex]n=\frac{10}{2}[/tex]
4) Simplify [tex]\frac{10}{2}[/tex] to 5.
n = 5
HELP ASAP LIKE RIGHT NOW
Answers
100 POINTS+BRAINLIEST 8TH GRADE MATH PT 6: SIMPLIFY THE GIVEN EXPRESSION -I know how to do the distributive property but i don't know the rules to remember when dealing with rearranging subtraction sings like the one in the first set of parenthesis. please tell me how to accurately simplify an expression with those subtraction signs
thanks so much!!
Answers
Answer:
[tex]-x + 9[/tex]
Step-by-step explanation:
Hello!
We want to combine any like terms and distribute the signs properly to the terms in the parentheses.
First, remove the parentheses by distributing the signs:
[tex]-(2x - 1) + 3(x + 4) - 2(x + 2)[/tex][tex]-(2x) - (-1) + 3(x) + 3(4) - 2(x) - 2(2)[/tex]Remember that negative times negative is positive
[tex]-2x + 1 + 3x + 12 - 2x - 4[/tex][tex]-2x + 3x - 2x + 1 + 12 - 4[/tex][tex]-x + 9[/tex]
The simplified form is [tex]-x + 9[/tex].
Another way to think about the negative sign is by replacing it with -1, so essentially you are multiplying the whole parentheses by -1.
Option D
if x equals y what does y equal
Answers
Answer:
x
Step-by-step explanation:
If x is y than y is equal to x only
x=y & y=x :)
8th grade math; correct answers only ty (wrong ones will be reported). have a gud day folks;)
Answers
Answer: Both C and D are correct
Step-by-step explanation:
To remove the exponent from the v you need to square root both sides,
the exponent on the v is then canceled out giving you:
[tex]v=\sqrt{25/81}[/tex] or [tex]v=-\sqrt{25/81}[/tex]
Answer:
Both C & D are correct
Step-by-step explanation:
[tex]v^{2} =\frac{25}{81}[/tex]
Root both sides of the equation to remove the square.
[tex]v=\±\sqrt{\frac{25}{81} }[/tex]
[tex]v = \±\sqrt{\frac{5*5}{9*9} } \\v=\±\frac{5}{9}[/tex]
Therefore,
[tex]v=\sqrt{\frac{25}{81} } =-\sqrt{\frac{25}{81} }[/tex]
Find the interest PLEASE: $194 at 7% each year for 13 years
Answers
Answer:
Step-by-step explanation:
the answer is
$194 (start) / 100 (100%) = $1.94 (1%)
$1.94 * 7 = $13.58 (7%)
$13.58 * 13 (13 years) = $176.54
$194 (start) + $176.54 (interest) = $370.54
the interest on $194 at 7% interest rate for 13 years is approximately $176.54.
To find the interest on $194 at an annual interest rate of 7% for 13 years, we can use the formula for simple interest:
Interest = Principal * Rate * Time
Where:
Principal = $194 (initial amount)
Rate = 7% (convert to decimal: 7% = 0.07)
Time = 13 years
Now, plug in the values:
Interest = $194 * 0.07 * 13
Calculate the interest:
Interest = $194 * 0.91
Interest ≈ $176.54
So, the interest on $194 at 7% interest rate for 13 years is approximately $176.54.
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Raj started with angle B and constructed angle D.
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B and F connect to each other the same way D and H do, and the same is true for HI and Fg.
The congruent triangles are solved and the measure of HI ≅ FG and the measure of DH ≅ BF
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle being constructed be ΔCBA
Let the second triangle being constructed be ΔDEL
Now , the measures of the corresponding sides of the congruent triangles will be in the same ratio
So , measure of HI ≅ measure of FG
And , the measure of DH ≅ the measure of BF
Hence , the ∠D is congruent to ∠B
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help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 60 local calls- SEE THE SCREENSHOTS FOR A DETAILED STEP BY STEP RESPONSE :)
also daM, that's a lot of calls
Step-by-step explanation:
Answer: 60 local calls bcz you remove the other 2 charges then divide by .25
Step-by-step explanation:
John drew a trapezoid ABCD on a coordinate plane. The coordinates are as follows
A(8,4)
B(10,4)
C(13,-1)
D(8,-1)
What is the length of the side AD?
Answers
Answer: 5
Step-by-step explanation:
If the sides of A is (8,4) and the coordinates of D is (8-1), the same value in both coordinates are 8 and the different values are 4 (A) and -1 (D). We will take the absolute values (AV) of both when added: |4 + -1|.
The answer will be 5 grids (or whatever measurements the question uses).
This is 8th grade math on khan academy, correct answers only ty- 7 points
have a gud day folks
Answers
9² or 9^2
Step-by-step explanation:Because the base is the same on the top and the bottom which is "9", you would either add or subtract the top and bottom exponent based on the arithmetic symbol used.
Because the arithmetic symbol division sign is used, you subtract the top exponent by the bottom giving you the answer nine to the power of two.
Answer:
The correct answer is [tex]9^2[/tex]
Step-by-step explanation:
9 is the base and 7-5=2. so n=2.
Solve For X. 5 - 2x^2 = -15
Answers
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
5 - 2x^2 = -15
2x^2 = 20
x^2=10
x= [tex]\sqrt{10}[/tex]
Thus, -2x^2 = -20
Then -20/-2= 10
So, x^2 = 10
When you square root both of them, the answer is root 10
HELP ASAP!!!!!!!!!!!!!!!!
Answers
Answer:
52
Step-by-step explanation:
angle RQS=180-90-34=90-34=56
and then
180-56=x+72
124=x+72
x=52
HELP ASAP!!!!!!!!!!!!!!!
Answers
Answer:
38 degrees
Step-by-step explanation:
Since angles KLO and OLM are supplementary, they add up to 180 degrees
So, angle OLM is 180-134=46 degrees
Similarly, angles OMN and OML are supplementary, so they also add up to 180 degrees
So, angle OML is 180-84=96 degrees
You also know that the angles of a triangle sum up to 180 degrees
So, 46+96+x=180
180-142=38
x=38 degrees
So 180-134= 46 and 180-84=96
So interior angles of a triangle sum up to 180
Hence x + 46 + 96 =180
X+142=180
X= 180-142
X=38
List three solutions for the inequality x ≤ 3 and give three
numbers that are not solutions.
Answers
Answer:
2
1
0
Not:
4
9
1921131
Step-by-step explanation:
x needs to be equal or less than 3. It doesn't say that x cannot be negative so any number 3 and below is fine.
Not solutions would be any number above 3 in value
The three solutions for the inequality are 1, 2, and 3.
And, the three numbers that are not solutions are 4, 5, and 6.
Used the concept of inequality that states,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
The inequality is,
x ≤ 3
Now from the given inequality x ≤ 3,
The solution of the inequality is a number that is less or equal to 3.
Hence the possible three solutions for the inequality are,
x = 1, 2, 3
And, the three numbers that are not solutions are,
4, 5, and 6.
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Please take a screenshot of this, edit the screenshot to the answer and send it to me in brainly, thanks
Answers
Quadrant are counted anti clockwise
how much will you have to pay back in total if you borrowed $400 from the bank for a year at 12%
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400x.12= 48
2) add interest and loan amount
400+48= 448
You would have to pay back $448 in total after one year.
What is the amount on the loan?The simple interest formula can be expressed as;
I = P × r × t
Where I is interest, P is principal, r is interest rate and t is time.
Given the parameters:
Principal P = $400 (the initial loan amount)
Rate r = 12% = 12/100 = 0.12
Time t = 1 year
Interest = ?
To determine the interest, we can use the above formula for simple interest:
I = P × r × t
Interest = $400 × 0.12 × 1
Interest = $48
Money to be paid back will be:
Amount = Principal + Interest
Amount = $400 + $48
Amount = $448
Therefore, the accrued amount to be paid is $448.
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please help me with this math question Graph this line using the slope and y-intercept:
Answers
Answer:
(8,1) (15,2) (22,3) (29,4) (36,5) (43,6)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation y=7x+1 is written in slope intercept form. That would be:
y=mx+b
m is the slope
b is the y intercept, or where the line first is seen on the y axis.
Because b=1, the y intercept is 1.
Because m=7, the slope is 7.
STEP 1: GRAPH THE Y INTERCEPT.
Since b=1, the line crosses the y intercept when y=1. So graph y=1 on the coordinate plane.
STEP 2: GRAPH THE SLOPE
Do this by going up 7, then right 1. Because 7 is a positive number, you go up.
hope this helps !!! brainliest would be appreciated :D
Numbers and Operations KA 8th grade- correct answers only ty, and have a great day folks (7 pts)
Answers
Answer:c
Step-by-step explanation:
Answer:
it's c
Step-by-step explanation:
khan academy
The table shows the height in inches of 10 players on a college basketball team.
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Answer:
A) The median is one of the values listed in the table
Step-by-step explanation:
The median is the middle number in an ordered data set. Since the number of date in the table is a even number, both 75 and 76 is the middle number. To find the median of an set of data that has an even number of sets, you just add the 2 middle numbers together and divide by 2. So like:
75+76=151
151/2=75.5
75.5 is the median but its not listed in the table, so A.
A batch of cookies is 24 cookies. It cost Courtney 134 dollars and 40 cents to make 10 batches of cookies.
How much does it cost Courtney to make 1 batch of cookies? Round to tenths places if necessary.
How much does it cost her to make 1 cookie? Round to the tenth place if necessary.
Answers
Answer:
13 dollars and 44 cents, 56 cents.
Step-by-step explanation:
134 dollars are 40 cents = 134.4 dollars.
10b = 134.4
b = 13.44
13 dollars and 44 cents
There are 24 cookies to a batch
24c = 13.44
c = 0.56.
so each cookie costs 56 cents
Answer:
13.44 to make 1 batch. 0.56 to make 1 cookie.
Step-by-step explanation:
If it cost 134.40 to make 10 batches, then you would divide that by 10 for how much it cost for 1 batch.
Then, 1 batch of 24 costs 13.44, you would divide it by 24 for the cost of 1 cookie.
Please solve these integers problems
1. What is the distance between -5 and 8 on the number line?
2. Write an integer for each situation,
a.13 feet below sea level
b. A gain of 5 yards
3. In the morning, the temperature was -10 degree Celsius. By the afternoon, it had risen to -2 degree Celsius. What was the change in temperature from the morning to the afternoon
Answers
Answer:
1. 13
2a. -13
2b. 5
3. 8
Step-by-step explanation:
-5 to 8 is 13
-13 feet below cuz Below of number line
2a. -13
2b. 5
3. 8 degrees celsius
PLEASE HELP ME ASAP!!!!!
Answers
Answer:
Step-by-step explanation
Lines LP and QM are parallel, meaning KLP and QMN are supplementary
So KLP +QMN=180
3x+72=180
3x=108
x=36
Claire tried to evaluate an expression step by step.
Find Claires mistake
THIS IS An 8TH GRADE MATH PROBLEM PLS SOLVE ASAP FOR 10 POINTS
I WILL REPORT INCORRECT ASNWERS :))
Answers
Answer:
step 1
Step-by-step explanation:
khan academy
Answer:
Claire incorrectly completed step 1 in which the second power of 10 was stated but it should have been the third.
Step-by-step explanation:
PLEASE HELP: What is the sales tax for each item?
Textbook: $20.00
Sales tax: 4%
Answers
Answer:
0.8
Step-by-step explanation:
The tax is calculated as the total price of the object multiplied by the amount of sales tax.
Write an equation to represent the situation:
"Blake owed his sister $35. He gave her a $20 bill, so
now he only owes her $15.
Answers
Answer: not 100% but 35-20=x or 35-20=15
Step-by-step explanation:
Copy the problems onto your paper, mark the givens and prove the statements asked.
CN=WN, ∠C≅∠W
Prove RN=ON
Answers
The statements and reasons for the proof are:
CN ≅ WN [given]∠C ≅ ∠W [given]m∠CNR ≅ ∠WNO [vertical angles theorem]ΔCNR ≅ ΔWNO [ASA theorem]RN = ON [CPCTC]What is the CPCTC and ASA Congruence Theorem?When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.
The statement for the proof along with the reasons in bracket are:
CN ≅ WN [given]∠C ≅ ∠W [given]m∠CNR ≅ ∠WNO [vertical angles theorem]ΔCNR ≅ ΔWNO [ASA theorem]RN = ON [CPCTC]Learn more about the CPCTC theorem on:
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I’m back!! I feel so embarrassed that I can’t answer it. Look- my brain died in a fire. plez help lol
Answers
Answer:
30
Step-by-step explanation:
Since 5 and 6 are coprime, the least common multiple is their product, which is 30.
Answer: 30
Step-by-step explanation:
The least common multiple of two numbers, or LCM, is the smallest multiple that can divide evenly into both numbers. We can easily find the LCM by finding the primes that multiply into both numbers.
[tex]5=5\\ 6=2*3[/tex]
If there were any in common between the factorization of both numbers, we would only need to count it once. Since there weren't any, the smallest multiple of both numbers would be their product, 30.
Hence, the LCM of 5 and 6 is 30.