keeping in mind that perpendicular lines have negative reciprocal slopes, let's find the slopes of these two, if they're indeed perpendicular, they'll be negative reciprocal of each other, meaning one slope will be the same as the other, but negative and upside-down, and thus their product will just be -1.
[tex]\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-4}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-2)}}}\implies \cfrac{-4+1}{1+2}\implies \cfrac{-3}{3}\implies \boxed{-1} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{5}}}\implies \cfrac{-8+3}{-7}\implies \cfrac{-5}{-7}\implies \boxed{\cfrac{5}{7}}[/tex]
well, 5/7 is not the negative reciprocal of -1.
What are the solutions of the following equation?
4|x -9| +9 = -3|x -9| +9 4∣x−9∣+9=−3∣x−9∣+9
Answer:
x = 9
Step-by-step explanation:
4∣x−9∣+9 = −3∣x−9∣+9
cancel equal terms on both sides of the equation
4∣x−9∣+9 = −3∣x−9∣+9the statement is true but only if both sides equal 0
4∣x − 9∣= −3∣x − 9∣4 x | x - 9| = 0−3∣x − 9∣= 0solve the equation for x
4x |x -9| = 0divide both sides of the equation by 4
|x-9| = 0when the absolute value of x - 9 equals 0, then x - 9 = 0
x - 9 = 0move the constant to the right side and change it´s sign
x - 9 = 0x = 9so the answer would be x = 9
Answer: it's x=9
Step-by-step explanation:
What is 40% of $20 show the work too please :)
Answer:
$8
Step-by-step explanation:
Convert 40% into decimal form: 0.4
Multiply it by 20.
=0.4 * 20
Simplify 0.4 * 20
= 8
What’s the answer
To the problem it’s kinda hard
What is standard form of 7x1+3x(1/10)+4x(1/100)
Answeuse a caculator then write it our
Step-by-step explanation:
The standard form of 7 x 1 + 3 x ( 1/10 ) + 4 x ( 1 / 1000 ) is 0.7304 x [tex]10^{1}[/tex].
Given,
7 x 1 + 3 x ( 1/10 ) + 4 x ( 1 / 1000 )
We need to write this large number in standard form.
What is a standard form?A standard form is a way of expressing a large number as a decimal number between 0 and 1 (including 1) and multiplied by a power of 10.
We have,
7 x 1 + 3 x ( 1 / 10 ) + 4 x ( 1 / 1000 )
7 + 0.3 + 0.004
7.304
Since we need a decimal point between 0 and 1.
We will multiply 7.304 by 10 / 10.
so we have,
7.304 x 10 / 10
(7.304 / 10 ) x 10
0.7304 x 10
Remember that a number to the power 1 is the number itself.
[tex]10^{1} = 10[/tex]
We see that in 0.7304 x [tex]10^{1}[/tex],
0.7304 is a decimal point between o and 1 and we have a power of 10.
It satisfies the standard form of a number.
Thus the standard form of 7 x 1 + 3 x ( 1/10 ) + 4 x ( 1 / 1000 ) is
0.7304 x [tex]10^{1}[/tex].
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Evaluate 2x^2 – 1 when x=3
Answer:
17
Step-by-step explanation:
Given: 2x² – 1
when x=3
2(3)² – 1
= 2(9) -1
= 18 - 1
= 17
Answer:
17 .
Step by step explanation:
Substitute the value of x into the equation and square it.
the equation then becomes 2(3)^2- 1
but 3^2 =3×3 =9
So the equation is changed to 2(9)-1 after the simplification
given you 18-1
=17
The center is open for 11 hours each day. Each party takes three hours what is the maximum number of parties the Center can host in a day
The maximum number of parties the Center can host in a day is 12.
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.Mathematicians refer to equations with a degree of 1 as linear equations. The largest exponent of terms in these equations is 1, which equals. These can also be broken down into linear equations with one variable, two variables, three variables, etc. A linear equation with the variables X and Y has the conventional form aX + bY - c = 0, where a and b are the corresponding coefficients of X and Y and c is the constant.Given, the center is open for 11 hours each day and each party takes three hours. There are 4 rooms.
Therefore, 11 ÷ 3 = 3 (approx)
Each room can host 3 parties each day.
=3 × 4 = 12
The center can host up to 12 parties in a day.
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A pond is being drained through an outlet pipe, then will be filled through an inlet pipe. If the inlet pipe can fill the pond in 9 hours and the outlet pipe can empty the pond in 15 hours, how long would it take to fill the pond if the outlet pipe was left open?
Answer:
22.5 hours
Step-by-step explanation:
I am using "1 pond" to mean the volume of water that fits in the pond.
The inlet pipe fills the pond in 9 hours.
The filling rate is (1 pond)/(9 hours) = 1/9 pond/hour
The outlet pipe empties the pond in 15 hours.
The emptying rate is (1 pond)/(15 hours) = 1/15 pond per hour
The difference in rates is the net rate at which the pond is filling up.
1/9 pond/hour - 1/15 pond/hour =
= 5/45 pond/hour - 3/45 pond /hour
= 2/45 pond/hour
The pond is filling at a rate of 2/45 pond/hour.
To find the time it takes to fill the pond, we divide 1 pond by the rate.
(1 pond)/(2/45 pond/hour) = 45/2 hour = 22.5 hours
Mr. and Mrs. Khan paid interest on their mortgage this year. They also had deductible home related expenses. The interest and expenses total an amount greater than the standard deduction. Which action can they take to reduce their income tax liability?
A) They can use the interest expense as a credit to reduce the tax they owe.
B) They can itemize deductions and deduct the interest expense.
C) They can request a reimbursement of the interest expense from the IRS.
D) They can add the interest expense to the taxable income.
E) They can reduce their mortgage payment next year by the amount of Interest they paid.
Answer:
B) They can itemize deductions and deduct the interest expense.
Step-by-step explanation:
I just got this right on Plato!
HENCE OPTION B IS CORRECT
What is income tax ?
Income tax is a sort of tax levied by governments on income made by businesses and persons within their jurisdiction. To assess their tax responsibilities, taxpayers are required by law to file an income tax return each year.
How to solve?
Check which statement will help Mr and Mrs khan to reduce income tax liability-
A) They can use the interest expense as a credit to reduce the tax they owe.
- interest expenses are not tax deductible
B) They can itemize deductions and deduct the interest expense.
-itemize will deduction will reduce income tax liability.
C) They can request a reimbursement of the interest expense from the IRS.
-Reimbursement is not part of reduction it is part of cashback as it is type of discount.
D) They can add the interest expense to the taxable income.
- It wi not hep to reduce income tax liability
E) They can reduce their mortgage payment next year by the amount of Interest they paid
-reducing mortgage will infact increase tax liability. if mortgage is removed.
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need a answer
1*5-6+7(9x-7a)
Answer:
-1 + 63x - 49a
Step-by-step explanation:
Following order of operations rules:
1*5 = 5
Next, 5 - 6 = -1, and so we now have -1 + 7(9x - 7a).
Apply the distribution rule for multiplication next, obtaining -1 + 63x - 49a
Help please I would appreciate it
Answer:
SORRY DONT KNOW
Step-by-step explanation:
the measure of angle ∠21 must be 55 degrees for line b to be parallel to line a.
In order for line b to be parallel to line a, the measure of angle ∠21 must be 125 degrees. Corresponding angles are angles that are in the same position relative to two intersecting lines. Since lines a and b are parallel, we know that corresponding angles ∠1 and ∠21 are congruent. Therefore, we can set up the following equation to find the measure of ∠21:
∠1 + ∠21 = 180° (because they are supplementary angles)
Substituting 125° for the measure of ∠1, we get:
125° + ∠21 = 180°
Solving for ∠21, we get:
∠21 = 180° - 125°
∠21 = 55°
Match each polynomial expression to its additive inverse
Answer:
(1, 2, 3, 4) matches (A, C, B, D)
Step-by-step explanation:
The additive inverse of a term is formed by changing the sign. The additive inverse of the polynomial is formed by changing the sign of every term.
If we call the expressions on the left (top-to-bottom) 1, 2, 3, 4, and those on the right A, B, C, D, then the match-up in this presentation of the question is ...
1 - A
2 - C
3 - B
4 - D
_____
YMMV if the expressions are mixed differently
Answer:
Heres an ss of the answers
Step-by-step explanation:
524+920 Enter your answer either as an integer or as a fraction in simplest form
Answer:
1444
Step-by-step explanation:
524 + 920 = 1444
Answer:
1,444/1
Step-by-step explanation:
The answer to the problem is 1,444. To put the answer in fraction form, you can say 1,444/1. If they are asking for the numbers to be put in fraction form, you can say 524/1 + 920/1. If they are asking both, 524/1 + 920/1 = 1,444/1.
Use complete sentences to describe what it means to prove a statement in Geometry.
Answer:
Step-by-step explanation:
To use the information and to show, using work, how to step by step solve a problem.
Answer:
He's correct.
Step-by-step explanation:
Solve for x: 2/3(x − 2) = 4x.
A. x = -2/5
B. x = -5/2
C. x = 2/5
D. x = −2
Answer:
a
Step-by-step explanation:
Answer:
[tex]\large\boxed{A.\ x=-\dfrac{2}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{2}{3}(x-2)=4x\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{2}{3\!\!\!\!\diagup_1}(x-2)=(3)(4x)\\\\2(x-2)=12x\qquad\text{divide both sides by 2}\\\\\dfrac{2\!\!\!\!\diagup^1(x-2)}{2\!\!\!\!\diagup_1}=\dfrac{12\!\!\!\!\!\diagup^6x}{2\!\!\!\!\diagup_1}\\\\x-2=6x\qquad\text{subtract}\ x\ \text{from both sides}\\\\x-x-2=6x-x\\\\-2=5x\qquad\text{divide both sides by 5}\\\\\dfrac{-2}{5}=\dfrac{5\!\!\!\!\diagup^1x}{5\!\!\!\!\diagup_1}\\\\-\dfrac{2}{5}=x\to x=-\dfrac{2}{5}[/tex]
How do you find the product of -2(3.1)
Answer:
- 6.2
Step-by-step explanation:
The product of - 2 (3.1) is - 6.2.
Brackets mean to multiply so we have to multiply the - 2 by 3.1 which gives a result of - 6.2.
Donnie and Tania are math tutors. The amount Donnie charges for a session h hours long is represented by the function D(h) = 40h + 10. Tania charges a flat fee of $30 plus $15 an hour. Write a function, T(h), that represents the amount in dollars that Tania charges for h hours of tutoring. Graph both functions on the same coordinate grid, and label each line. Compare the slopes and y-intercepts of the graphs.
Answer:
Step-by-step explanation:
Answer:
[tex]T(h)=15h+30[/tex]
The graph is shown below.
Step-by-step explanation:
The amount Donnie charges for a session h hours long is represented by the function
[tex]D(h)=40h+10[/tex]
Tania charges a flat fee of $30 plus $15 an hour. The amount in dollars that Tania charges for h hours of tutoring is represented by the function
[tex]T(h)=15h+30[/tex]
Slope intercept form of a line is y=mx+b, where m is slope and b is y-intercept.
For Donnie:
Slope = 40 and y-intercept = 10
For Tania:
Slope = 15 and y-intercept = 30
It means slope of Donnie is greater than Tania and y-intercept of Tania is greater than Donnie.
Table of values for Donnie:
x y
0 10
1 50
2 90
Table of values for Tania:
x y
0 30
1 45
2 60
Plot these ordered pair on same coordinate plane and connect them to draw both functions.
The graph is shown below.
9/10 ÷ 2/10 ansewer
Answer:
4.5 or 4 and a half
Step-by-step explanation:
9/10 divided by 2/10
put 2/10 into it's reciprocal and multiply it by 9/10
10/2 * 9/10
10 9
_ * _
2 10
^ (visualization)
multiple into 90/20, divide numerator and denominator by 10 to get 9/2
9/2 is 4.5
Answer: 4.5 or 9/2
Step-by-step explanation:
9/10 ÷ 2/10
9/10 x 10/2
9 x 10 = 90
10 x 2 = 20
Simplified: 9/2 or 4.5
i’m stuck on number 8 plz help anyone !!
Answer:
Sally's km/h during the first half hour is 7 .
The lowest average speed is between the 3rd and 4th stops.
Step-by-step explanation:
On the table during the first half hour, Sally traveled 7 km.
From the first stop to the second stop, she traveled 8 km; from the second stop to the third stop, she traveled 6 km; from the third stop to the fourth stop, she traveled 3 km; from the fourth stop to the fifth stop, she traveled 4 km; and from the fifth stop to the sixth stop she traveled 8 km. Therefore The lowest average speed is between the 3rd and 4th stops.
Plz rate Brainliest because this took a long time.
What is the pattern for -5, 10, -15, 20, -25
Answer:
The number 5 multiplied by -1 then by 2 then by -3 then by 4....... (alternating positive and negative
Step-by-step explanation:
5*-1 = -5
5*2 = 10
5*-3= -15
5*4= 20
5*-5 = -25 ......
which expression is equivalent to -51-(-60)
-51 + 60
51 - 60
-60 + (-52)
60 + 51
Answer:-51+60
Step-by-step explanation: go into debt lose more money go farther into debt
Rewrite with common denominator then solve 7/9 subtract 2/3
to write them both with a common denominator, we simply multiply one by the other's denominator, so let's proceed,
[tex]\bf \cfrac{7}{9}\cdot \cfrac{3}{3}\implies \boxed{\cfrac{21}{27}}\qquad \qquad \qquad \cfrac{2}{3}\cdot \cfrac{9}{9}\implies \boxed{\cfrac{18}{27}}[/tex]
50 grams/Centimeters = kilograms/meters
Answer:
50g/cm is equal to 5 kg/m
Step-by-step explanation:
as we know that:
10g/cm = 1 kg/m
so,
50g/cm = 5kg/m
What is the reason for each step in the solution of the equation?
-5(x – 6) = 10x
Drag and drop the reasons into the boxes to correctly complete the table.
Answer:
Step-by-step explanation:
-5(x – 6) = 10x
-5x+30=10x
-5x-10x = -30
-15x = -30
x= -30/-15 = 2
what is 80 + 80 equals 80 + 80 * 80 equals
Answer:
80+80=160
80+80+80=240
240 >160
so no it is not equal
thank you for your time!
Step-by-step explanation:
In Mathematics, the order of operations (BOMDAS or BIDMAS) dictates that multiplication operations should be performed before addition. Hence, in the mathematical expression '80 + 80 equals 80 + 80 * 80 equals', the multiplication operation (80*80) is performed first, resulting in '80 + 6400 = 6480'. Therefore, 80 + 80 equals 6480.
Explanation:In Mathematics, the operation order matters, this order is known by the acronym BOMDAS or BIDMAS, which stands for Brackets, Orders, Multiplication and Division, and Addition and Subtraction. it is used to clarify which procedures should be performed first in a given mathematical expression.
In your question, '80 + 80 equals 80 + 80 * 80 equals', we have both addition and multiplication operations. According to BIDMAS rules, we perform multiplication first before addition. Hence, the given expression is equivalent to 80 + 80 equals 80 + (80 * 80), where (80*80) should be calculated first.
Putting this into practice, we get: 80 + (80 * 80) = 80 + 6400 = 6480. Therefore, 80 + 80 equals 6480, based on the principles of BIDMAS or BOMDAS.
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help please and thank you!!!
Hello!
So, let's go over some information we know. We know that all the interior angles of a triangle add up to 180 degrees. We know that a line measures 180 degrees. We, therefore, know that angles which make up a line are supplementary, and must add up to 180 degrees.
So, first, we can find angle ABC. We can find this because angle ABC and ABT add up to 180 degrees, and we know the measure of ABT to be 125 degrees. Therefore:
ABC + 125 = 180
ABC = 55 degrees
Now, we can find angle ACB. We can find this as we have angle ABC and CAB, and angle ACB + ABC + CAB = 180 degrees (as they are the three interior angles of triangle ABC). ABC measures 55 degrees, and CAB 60 degrees. Therefore:
55 + 60 + ACB = 180
115 + ACB = 180
ACB = 65 degrees
Finally, we can find angle ACR based off of ACB, as ACB and ACR make up one line, and, therefore, add up to 180 degrees. ACB measures 65 degrees.
ACR + 65 = 180
ACR = 115 degrees
Therefore, your answer is choice 2, or 115 degrees.
Hope this helps!
Answer:
115°
Step-by-step explanation:
m∠ABC = 180° - 125° = 55° (angles in a straight line add up to 180°)
Given that m∠CAB = 60°,
Then m∠ACR = m∠CAB + m∠ABC (exterior angle is equal to the sum of opposite interior angles).
m∠ACR = 60° + 55° = 115°
June bought
3
1
2
gallons of white paint at $17.50 per gallon and
1
3
4
gallons of blue paint at $19.00 per gallon.
What was her total cost?
PLEASE IF ITS RIGHT ILL GIVE ANNY ONE 5 STARS AND A THANKS HELP ME
Answer:
$8006
Step-by-step explanation:
312*17.5=5460
134*19=2546
5460+2546= 8006
If 3(x - 4) = x + 4, then x =8
Answer:
Valid
Step-by-step explanation:
3(x-4)=x+4 Given
3x-12=x+4 Distribute
2x=16 Subtract x from both sides and add 12 to both sides
x=8 Divide each side by 2.
Hey there!
3(x - 4) = x + 4
3(x) + 3(-4) = x + 4
3x - 12 = x + 4
3(8) - 12 = 8 + 4
24 - 12 = 8 + 4
12 = 12
Therefore, this makes this statement TRUE
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
How would you solve this?
Answer:
2 2/3 cups of flour
Step-by-step explanation:
2/3 • 4 = 2 2/3
That's because 2/3 already makes 2 dozen cookies and you need to make 8 dozen so you need to multiply by 4 to get your answer.
(01.04 LC)Solve (−5) ⋅ (−3). −15 −8 8 15
Answer:
Positive 15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Write an expression to describe the relationship in each table 10,12,15. 7,9,12
The relationship in each table is that each number is obtained by adding 2 to the previous number.
Explanation:The relationship between the numbers in the first table is that each number is obtained by adding 2 to the previous number. The expression to describe this relationship is n + 2, where n is any given number in the table.
The relationship between the numbers in the second table is that each number is obtained by adding 2 to the previous number. The expression to describe this relationship is n + 2, where n is any given number in the table.
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