What is the perimeter of this triangle?
(-4,5)
(8,5)
(8,-4)
A. 36 units
В.
39 units
33 units
D
42 units
Answers
Answer:
Perimeter of triangle = 12 + 9 + 15
= 36 units
Therefore, option A is correct.
Step-by-step explanation:
The given points
(-4, 5)(8, 5)(8, -4)From the table, it is clear the side containing the line segment joining the points (-4, 5) and (8, 5) is a straight horizontal line.
Thus, the length of the horizontal distance from the points (-4, 5) and (8, 5) will be:
8-(-4) = 12 units
From the table, it is clear the side containing the line segment joining the points (8, 5) and (8, -4) is a straight vertical line.
Thus, the length of the vertical distance from the points (8, -4) and (8, 5) will be:
5-(-4) = 9
Now, finding the length of the side containing the segment (8, -4) and (-4, 5) using the formula:
[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(-4-8\right)^2+\left(5-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{\left(-4-8\right)^2+\left(5+4\right)^2}[/tex]
[tex]=\sqrt{12^2+9^2}[/tex]
[tex]=\sqrt{144+81}[/tex]
[tex]=\sqrt{225}[/tex]
[tex]=\sqrt{15^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
[tex]=15[/tex]
We know that the Perimeter of a rectangle is the length of all the sides of the triangle. Therefore, combining all the lengths of the line segments
Thus,
Perimeter of triangle = 12 + 9 + 15
= 36 units
Therefore, option A is correct.
Related Questions
(-3, 0) to polar form.
Answers
9514 1404 393
Answer:
(3; 180°)
Step-by-step explanation:
The point (-3, 0) is located on the -x axis at a distance of 3 units from the origin. The -x axis is at an angle of 180° CCW from the +x axis. So, the polar coordinates are ...
r = 3
θ = 180°
This might be written as ...
(r; θ) = (3; 180°) = (3; π radians)
If
1+3= 12
2+7=27
5+6 = 90
then 3+5= ?
Answers
Answer:
8
Step-by-step explanation:
3+5=8
What is 11/4 as a mixed number
Answers
Answer:
34
Step-by-step explanation:
Answer:
2.75 round it up 3
Step-by-step explanation:
divide 11 to 4
What type of graph is this?
Answers
Answer:
The graph of a quadratic equation, or a parabola, looks like a U, an upside down U, a C, or a backwards C. We can use the following rules to determine what the graph of a given quadratic equation looks like. If y = ax2 + bx + c, and a is positive, then the graph of the equation is the shape of a U.
Step-by-step explanation:
bc
y=1/2-2
find the y-intercept
find the x-intercept
Answers
Y-intercept: -3/2
In a class of 23 students, 12 have a cat and 6 have a dog. There are 2 students who
have a cat and a dog. What is the probability that a student who has a cat also has a
dog?
Answers
Answer:
2/23
Step-by-step explanation:
I think it's because there's 2 students out of 23 students who have a cat and a dog. So, I'm assuming the answer is 2/23
Answer:
2/12
Step-by-step explanation:
Answer two questions about Equations A and B:
A. 5x = 20
B. x=4
1) How can we get Equation B from Equation A
Choose 1 answer:
A: Multiply/divide both sides by the same non-zero constant
B: Multiply/divide both sides by the same variable expression
C: Add/subtract the same quantity to/from both sides
D: Add/subtract a quantity to/from only one side
2: Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A: Yes
B: No
PLS HELP
Answers
2) Choice A, yes.
Let’s divide both sides of the equation by 5.
5x=20
5x/5 = 20/5
x = 4
The equations have the same solution, so they are equivalent
Suppose y varies directly as x. If x = 27 when y = 6, find x when y = 2.
Answers
0.22
Step-by-step explanation:
y=kx
6=27k6/27=kk=0.22y=0.22*2y=0.44If 1 yard=3 feet and 1 mile = 5,280 feet, how many yards are there in 5 miles
Answers
Answer:
There are 3520 yards in 2 miles
Answer:
There are 3520 yards in 2 miles
Step-by-step explanation:
Cheryl's famous pumpkin pie Seasoning consists of a blend of cinnamon, nutmeg and cloves. WHen cheryl mixes up a batch, she uses 200 ounces of cinnamon, 100 ounces of nutmeg, and 100 ounces of cloves. If cinnamon sells for $1.80 per ounce, nutmeg sells for $1.60 per ounce, and cloves sell for $1.40 per ounce, what should be the price per ounce of the mixture. math problem answer
Answers
Answer:
$1.65
Step-by-step explanation:
Given that:
Batch mixture :
Cinnamon - 200 ounces
Nutmeg - 100 ounces
Cloves - 100 ounces
Cost of Seasoning mix :
Cinnamon - 1.80 per ounce
Nutmeg - 1.60 per ounce
Cloves - 1.40 per ounce
Price per ounce of mixture :
Let the price per ounce of mixture = x
Total ounce of mixture = (100 + 100 + 200) = 400 ounces
Σ(ounce * cost) = total ounce * cost of mixture
(200*1.80)+(100*1.60)+(100*1.40) = 400 * x
$360 * $160 * $140 = 400x
$660 = 400x
x = $660 / 400
x = $1.65
Price per ounce of mixture = $1.65
10k+7k2+4k2–6k
simplify the expression
Answers
[tex]10k + 7k2 + 4k2 - 6k \\ 10k + 14 + 4k \\ = 14k + 14[/tex]
your welcome and give me brainlest
Plss help
2 kg=_______g
2 kg=_______mm
1 km=_______m
2 km=_______m
1 L=________ml
2 L=_______ml
1 m=_______cm
2 m=_______cm
Answers
Answer:
2000g
Step-by-step explanation:
the first one is 2000g!
FROM 1KG_1000G
SO
2KG=2000G
Felicity the unicorn is in the forest. She is enjoying a delicious melon. A weasel grabs the melon out of her mouth and starts to devour it. Felicity notices that there are 19 pairs of eyes looking at the weasel. Based on the info you've been given, how many animals are in the forest right now? Type your answer in below!
Answers
Answer:
21 animals in the forest
Step-by-step explanation:
The weasel
Felicity
The 19 other animals
Hope this helped
Write two polynomials whose difference is 6x+3. Then prove it.
Answers
Answer:
One possible pair:
7 x + 4 and x + 1
Step-by-step explanation:
There are infinitely many pairs that meet this requirement.
Please mark me brainliest :D
Find x & y so that quadrilateral is a parallelogram. (Look at image)
Answers
Answer:
x = 5° y = 75
Step-by-step explanation:
Here given it is a quadrilateral
105° + y = 180° ( being co-interior angles)
y = 180° - 105°
y = 75°
Now
15x + 105° = 180° (being co-interior angles)
15x = 180° - 105°
15x = 75°
x = 75° / 15
x = 5°
Hope it will help :)❤
Write an equation for the following table.
Answers
Answer:
y= 38x
Step-by-step explanation:
It is going up by 38 each time. There is no b value (y=mx + b), because if you times 6 by 38, you get 228. You don't need to add any remainders.
Given a1 = 1 and an = an-1 + 2. Find a7.
A 9
B 11
C 7
D 13
Answers
Answer:
7
Step-by-step explanation:
Sorry if my answer is wrong
6(4 - 2р) + 9p
Can any one help
Answers
Answer: p = 8
Step-by-step explanation:
6(4-2p)+9p
24 - 12p + 9p
24 - 3p
-3p = -24
3p = 24
p = 8
plssssssssssssssssss help asap so am what part % of 18 is 24 it iis not 75
Answers
24
Percentage Calculator: 18 is what percent of 75? = 24.
List the factors of 95
Answers
Logan wants to save 35% of his weekly paycheck he earns $125 a week how much does he plan to save each week enter the correct answer in the box
Answers
Answer:
35%
Step-by-step explanation:
Logan wants to save 35% of his weekly paycheck he earns $125 a week how much does he plan to save each week enter the correct answer in the box, he wants to save 35%, how much does he plan to save, 35% easy. JK its 125 - 81.25 which is $43.75.
can you answer me please
Answers
Answer: 1. 10 2. 18
Step-by-step explanation:
1.) 25% of 40 is 10 so she made 10 free throws.
2.) 150% of 12 is 18 so she made 18 free throws.
It is very blurry.. please try asking the question again for me to see.
PLS HELP PLS PLS PLS WILL MARK BRAINLIEST
select the table representing a Linear function. (graph them if necessary)
Answers
It’s going down by the same rate of change, 2.
Felipe is making goody bags for the students in his class. He has 32 cookies and 24 candies to put in the bags. He wants to put an equal number of cookies and candies in each bag. What is the greatest number of bags that he can make for his students.
Answers
Answer:
I think HCF of 32 and 24=8
Let y=f(x) be a twice differentiable function such that f(1)=3 and dy/dx= (4y^2+7x^2)^1/2. What is the value of d2y/dx2 at x=1?
Answers
Answer:
[tex]\displaystyle f''(1) = \frac{7}{\sqrt{43}}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeCalculus
Derivatives
Derivative Notation
Taking Derivatives with respect to x
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Function: y = f(x), twice differentiable.
[tex]\displaystyle f(1) = 3\\\frac{dy}{dx} = (4y^2 + 7x^2)^{\frac{1}{2}}[/tex]
Step 2: Differentiate
Remember we are taking the derivative with respect to x.
Chain Rule [Basic Power Rule]: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{1}{2}(4y^2 + 7x^2)^{\frac{1}{2} - 1} \cdot \frac{dy}{dx} (4y^2 + 7x^2)[/tex][2nd Derivative] Simplify: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{1}{2}(4y^2 + 7x^2)^{-\frac{1}{2}} \cdot \frac{dy}{dx} (4y^2 + 7x^2)[/tex][2nd Derivative - Chain Rule] Basic Power Rule: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{1}{2}(4y^2 + 7x^2)^{-\frac{1}{2}} \cdot (0 + 2 \cdot 7x^{2 - 1})[/tex][2nd Derivative] Simplify: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{1}{2}(4y^2 + 7x^2)^{-\frac{1}{2}} \cdot 2 \cdot 7x[/tex][2nd Derivative] Simplify: [tex]\displaystyle \frac{d^2y}{dx^2} = \frac{7x}{\sqrt{7x^2 + 4y^2}}[/tex]Step 3: Evaluate
We are given x = 1 and f(1) = 3. This will tell us the instantaneous slope.
Substitute [2nd Deriv]: [tex]\displaystyle f''(1) = \frac{7(1)}{\sqrt{7(1)^2 + 4(3)^2}}[/tex][√Radical] Exponents: [tex]\displaystyle f''(1) = \frac{7(1)}{\sqrt{7(1) + 4(9)}}[/tex][Fraction] Multiply: [tex]\displaystyle f''(1) = \frac{7}{\sqrt{7 + 36}}[/tex][√Radical] Add: [tex]\displaystyle f''(1) = \frac{7}{\sqrt{43}}[/tex]This tells us that the rate of change of the slope of the tangent line is [tex]\displaystyle \frac{7}{\sqrt{43}}[/tex].
We can also write an equation for the instantaneous slope:
[Equation] [tex]\displaystyle y - 3 = \frac{7}{\sqrt{43}}(x - 1)[/tex]
3/4 + 2/3 using fractions
Answers
Step-by-step explanation:
Lowest common multiple (LCM) of 4 and 3 = 12.
Therefore 3/4 + 2/3
= 9/12 + 8/12
= 17/12 or 1 5/12.
Answer:
1 5/12
Step-by-step explanation:
To do this, we need to find the LCM of 4 and 3. The LCM of 4 and 3 is 12. Now, since 4x3 is 12, we multiply 3/4 by 3/3 to get 9/12. Now, we multiply 2/3 by 4/4 (since 3x4 is 12) to get 8/12. Now, we add only the top numbers to get 17/12. To simplify this, we divide 17 by 12 (check attached screenshot). The quotient (the answer) becomes the whole number, the divisor (12) becomes the denominator, and the remainder (5) becomes the numerator. This gets us 1 5/12.
The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 50 public accounting firms with 10 or fewer employees in the Dallas-Fort Worth area. The following frequency table reports the results of the study.
Number of Clients Frequency
25 up to 40 3
40 up to 55 11
55 up to 70 24
70 up to 85 8
85 up to 100 4
Estimate the mean and the standard deviation. Round squared deviations to the nearest whole number and the final answer to 2 decimal places.
Answers
Answer:
Estimates of the number of individual tax forms prepared by small accounting firms:
1. Mean = 10
2. Standard deviation = 7.56
Step-by-step explanation:
a) Data and Calculations:
Number of Clients Frequency Mean Diff Squared Deviation
25 up to 40 3 -7 49
40 up to 55 11 1 1
55 up to 70 24 14 196
70 up to 85 8 -2 4
85 up to 100 4 -6 36
Sum 50 286
Mean of frequencies = 10 (50/5) 57.2 (286/5)
Standard deviation = square root of 57.2 = 7.56
b) The IRS can obtain the mean value of the number of individual tax forms prepared by small accounting firms by dividing the sum of the frequencies by the numbers (50/5). Similarly, the IRS can calculate the standard deviation of the number of individual tax forms prepared by small accounting firms, which measures how spread out the data is about the mean value, by working out the mean of the frequency numbers. Then subtract the mean for each number and square each result. Add up the squared differences and divide by the number to get the mean. Finally, take the square root of the mean differences.
50 points and a BRAINLIEST if you answer correctly! Pls Pls help!
Answers
Answer:
3/10
Step-by-step explanation:
Numbers Given are:
1 1/2, 2 1/2, 1 2/3, and 2 5/6
The result at the end of all the math is 2 5/6.
1 2/3 + 2 5/6 = 4 1/2
Divide 4 1/2 by 1 2/3 to get 2 7/10.
Subtract 2 2/3 from 2 7/10 to get 1/5.
Multiply 1/5 by 1 1/2 to get 3/10.
So the number they thought of was 3/10.
is y=4x+2 proportional?
Answers
Answer: yes
Step-by-step explanation:
Why is 2x 3/4 less than 2?
Answers
Answer & Step-by-step explanation:
It is less because 2 times 3/4 is the same as 2/1 times 3/4 which is 6/4 then simplify it and you get 3/2 which then is 1 1/2.
That is why 2 times 3/4 is less than 2.
Hope that helps ;)