Calculate the perimeter of
the triangle with vertices
A(-2, -1), B (10, -1), and
R(4,4). State your answer in
simplest radical form.
please help !
Answers
Answer:
Perimeter of ∆ABR = [tex] 12 + 2\sqrt{61} [/tex]
Step-by-step explanation:
Given, A(-2, -1), B(10, -1), and R(4, 4).
Perimeter of ∆ABR = [tex] \overline{AB} + \overline{BR} + \overline{AR} [/tex]
Distance between A(-2, -1) and B(10, -1) using distance formula:
[tex] \overline{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(10 -(-2))^2 + (-1 -(-1))^2} [/tex]
[tex] \overline{AB} = \sqrt{(12)^2 + (0)^2} [/tex]
[tex] \overline{AB} = \sqrt{(144 + 0)} [/tex]
[tex] \overline{AB} = \sqrt{144} = 12 [/tex]
Distance between B(10, -1) and R(4, 4):
[tex] \overline{BR} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(4 - 10)^2 + (4 -(-1))^2} [/tex]
[tex] \overline{BR} = \sqrt{(-6)^2 + (5)^2} [/tex]
[tex] \overline{BR} = \sqrt{(36 + 25)} [/tex]
[tex] \overline{BR} = \sqrt{61} [/tex]
Distance between A(-2, -1) and R(4, 4):
[tex] \overline{AR} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(4 -(-2))^2 + (4 -(-1))^2} [/tex]
[tex] \overline{AR} = \sqrt{(6)^2 + (5)^2} [/tex]
[tex] \overline{AR} = \sqrt{(36 + 25)} [/tex]
[tex] \overline{AR} = \sqrt{61} [/tex]
Perimeter of ∆ABR = [tex] \overline{AB} + \overline{BR} + \overline{AR} [/tex]
Perimeter of ∆ABR = [tex] 12 + \sqrt{61} + \sqrt{61} [/tex]
Perimeter of ∆ABR = [tex] 12 + 2\sqrt{61} [/tex]
Related Questions
A roller coaster car starts at the loading platform, rises 30.4 meters, and then takes a steep dive of 50.4 meters into a valley. Plott
value of the altitude of the car after taking the steep dive directly on the vertical number line. Assume the platform is at an altitude
O meters.
Answers
Answer: 2.5 meters long
Step-by-step explanation:
someone help what is the answer to all i will give brainliest to best answer
6th gradw math
Answers
Answer:
The first one
Step-by-step explanation:
1. 36/-3 = -12
2.-4-(-16) =12
3.(-3)(-4) = 12
4.21+ (-9) = 12
The first one is the only one which doesn't equal 12. It equals -12 and that's why it doesn't belong.
Let me know if you need further detail for them :)
32a + 28 = 0
(Factor completely.)
Answers
Answer: 0.875
Step-by-step explanation:
What is the equation of the line that passes through the point (- 4, 4) and has a slope of 3/4
Answers
Answer:
y = 3/4x + 7Step-by-step explanation:
Slope-intercept form:
y = mx + bGiven
m = 3/4 and point (-4, 4)Substitute values to find b:
4 = 3/4(-4) + b4 = -3 + b7 = bThen the line is:
y = 3/4x + 7PLEASE HELP FAST WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answers
Answer:
y=22.1
Notice how 24.7 and 11.7 are 1.3 times larger than the corresponding sides in the smaller triangle. Therefore, 17 times 1.3 should give us our y value.
17 x 1.3=22.1
22.1=y
Step-by-step explanation:
If sin X = .342, then x=?
Answers
Answer:
Step-by-step explanation:
sinx=.342
then x is just so simple
[tex]x=sin^{-1} (.342)\\\\[/tex]
put that in a calculator or something
Jamie ran a total distance of 6 and 1 over 2 miles during the months of March and April. If Jamie only ran 1 over 6 mile every day, how many days did she go running?
Answers
Given:
Total distance covered by Jamie = [tex]6\dfrac{1}{2}[/tex] miles
She ran every day = [tex]\dfrac{1}{6}[/tex] miles
To find:
The number of days in which she go for running.
Solution:
Total distance covered by Jamie [tex]=6\dfrac{1}{2}[/tex] miles
[tex]=\dfrac{6\times 2+1}{2}[/tex] miles
[tex]=\dfrac{12+1}{2}[/tex] miles
[tex]=\dfrac{13}{2}[/tex] miles
She ran every day = [tex]\dfrac{1}{6}[/tex] miles
Now,
[tex]\text{Required number of days}=\dfrac{\text{Total distance covered}}{\text{Distance covered each day}}[/tex]
[tex]\text{Required number of days}=\dfrac{\dfrac{13}{2}}{\dfrac{1}{6}}[/tex]
[tex]\text{Required number of days}=\dfrac{13}{2}\times \dfrac{6}{1}[/tex]
[tex]\text{Required number of days}=39[/tex]
Therefore, the required number of days is 39.
Factor the linear expression 15x – 10 using the greatest common factor of the terms.
A. 5(3x + 2)
B. 5(3x – 10)
C. 15(x – 2)
D. 5(3x – 2)
Answers
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
Solutions:
A. 5(3x + 2)
= 15x+10
B. 5(3x – 10)
= 15x-50
C. 15(x – 2)
= 15x-30
D. 5(3x – 2)
=15x-10
Answer:
D
Step-by-step explanation:
Plz help me with the First one and the 3rd one it’s due in a few minutes!!!!! Plz help me and will make you a edit !!!
Answers
Answer: I think
#3- A
#4- C
Rewrite in simplest terms :
9(-8d - 7 ) +6(d+7)
Answers
Answer: -66d-21 I think.
Step-by-step explanation:
9(-8d-7)+6(d+7)
-72d-63+6d+42 Distributive Property
-72d+6d+-63+42 Combine Like Terms
-66d-21 Answer
Use the information to answer the following question.
The angle measures of a triangle are shown.
Angle A: (5x – 5) degrees
Angle B: (3x + 3) degrees
Angle C: (5x) degrees
The sum of the measures of the three angles is equal to
180
°. What is the measure of Angle B? Explain
Answers
Answer:
Angle A
Step-by-step explanation:
subtract 3x and 5x
you get 2x
-5-3=
you get -8
divide -8/2x
x=-4
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Sum of the measures is equal to 180° .
So :
[tex]Angle \: \: A + Angle \: \: B + Angle \: \: C = 180 \\ [/tex]
Thus :
[tex](5x - 5) + (3 x + 3) + (5x) = 180 \\ [/tex]
Collect like terms
[tex]13x - 2 = 180[/tex]
Add sides 2
[tex]13x - 2 + 2 = 180 + 2[/tex]
[tex]13x = 182[/tex]
Divide sides by 13
[tex] \frac{13x}{13} = \frac{182}{13} \\ [/tex]
[tex]x = 14[/tex]
_________________________________
[tex]Angle \: \: B = 3x + 3[/tex]
[tex]Angle \: \: B = 3(14) + 3[/tex]
[tex]Angle \: \: B = 42 + 3[/tex]
[tex] Angle \: \: B = 45°[/tex]
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can someone please help with with this question
Answers
Answer:
Try asking your teacher for some help, so he/she can explain it more to you if you don't understand
Step-by-step explanation:
If ABCD was a kite, and P was the intersection of its diagonals, what must be true? (3 points)
There are two pairs of opposite congruent angles.
The diagonals each bisect the other diagonal.
The adjacent sides are equal.
The opposite sides are equal.
Answers
Answer:
The opposite sides are equal
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to create a two-way table to analyze her results. Which describes the variables she can use in the first row and first column to create her table?
Answers
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
it is c i just got 100 percent
how do you determine the quadratic equation having roots that are real numbers and equal
Answers
Answer:
To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
ANSWER:
when the value of (b^2-4ac) is positive, then the roots are real and distinct.
when it is 0 the roots are equal and if it is negative than its root is not real.
Identifying Perfect Squares
Which are perfect squares? Check all that apply.
072
0 36
8
16
81
O 64
48
Answers
Answer:
72- no
36-yes
8- no
16- yes
81-yes
64-yes
48-no
Step-by-step explanation:
Felicity writes −2 2/5 as a fraction using the same method she knows for positive mixed numbers. Her work is shown: Multiply the whole number by the denominator: −2⋅5=−10. Add the numerator: −10+2=−8. Write this number over the original denominator: −2 2/5=−8/5. Does this method work to correctly write −2 2/5 as a fraction? Complete the statements below to answer the question.
Answers
Answer:
Step-by-step explanation:
2 2/5 = 12/5
-2 2/5= -12/5
To change a mixed number to an improper fraction, take the bottom number or denominator and times by the whole number and then add the top or numerator. So 5*2=10+2=12 put that on top of the denominator you already have or 5
D is a point on AB, AC=7, AD=6, BC=18
What is the length of DB?
A. 5
B. 12
C. 19
D. 25
Answers
Answer:
Length of DB = 19 (Approx)
Step-by-step explanation:
Given:
AC=7
AD=6
BC=18
Find:
Length of DB
Computation:
AB = AD + DB
AB = 6 + DB
AC + BC ≥ AB
7 + 18 ≥ 6 + DB
19 ≥ DB
Length of DB = 19 (Approx)
Is 30.030 greater than, less than, or equal to 30.03
Answers
Answer:
equal
Step-by-step explanation:
Answer:
equal
Step-by-step explanation:
30.030 can be simplified to 30.03. the zero after the .03 is unnecessary. since 30.030 can be written as 30.03, 30.030 is equal to 30.03
Write an equation in slope-intercept form of the line that passes through the given points.
Answers
Answer: y= -3x + 2
Step-by-step explanation:
y=mx+b
m= y2-y1 / x2-x1 = -1 - 5 / 1 - (-1)= -6/2 = -3
y=-3x+b
pick a point and solve for b by plugging in the x and y values of that point.
y=-3x+2
explanation: slope intercept form is y = mx + b. the letter m stands for the slope and the letter b stands for the y intercept. the slope is 6/2 and that simplifies to 3. the y intercept is 2 because that’s where the line connects with the y axis
Pls I need help !!!!!!
Answers
Answer:
c=2 k=11 n=14
Step-by-step explanation:
In January, Mr. Cooper started a new exercise plan weighing 200 pounds. In March, he found his weight had increased by 5% because the exercise had increased his muscle mass. He added some work on the treadmill to his exercise routine found in May that he had dropped 6% from his March weight.
Answers
Answer:
In March he weighed 210 pounds
Step-by-step explanation:
In May he weighs 197.4 pounds
A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
inches longer than the width. Find the width.
Answers
Answer:
Width of rectangular piece = x = 8 inches
Step-by-step explanation:
Perimeter of rectangular piece = 62 inches
Let width of rectangular piece= x
and length of rectangular piece = x+15
We need to find width i.e value of x
The formula used for perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]
Putting values in formula and finding Width:
[tex]Perimeter=2(Length+Width)\\\\62=2(x+x+15)\\62=2(2x+15)\\62=4x+30\\62-30=4x\\4x=32\\x=\frac{32}{4}\\x=8[/tex]
After solving we get value of x = 8
So, Width of rectangular piece = x = 8 inches
Caroline bakes cookies in batches of 24. If she bakes 3 batches of cookies per week, how many weeks would it take her to bake 2,088 cookies?
Answers
Answer: 29 weeks
Step-by-step explanation:
From the question, we are informed that Caroline bakes cookies in batches of 24 and that she bakes 3 batches of cookies per week. The amount of cookies baked per week will then be:
= 24 × 3
= 72 cookies
The number of weeks that would take her to bake 2,088 cookies will be:
= 2088 / 72
= 29 weeks
ratio pls help very easy
Answers
3a) the ratio is 5:7
3b) sister 1 gets 1,750
4) 154 dollars is shared between the boys
The graphs of functions f(x) and g(x) = f(x) + k are shown below:
What is the value of k?
Answers
Answer:
k = 4
Step-by-step explanation:
k is the difference of y-intercepts (where the lines intersect with the y-axis). So, subtract the y-intercept of f(x) from the y-intercept of g(x).
2 - (-2) = 4
Hope that helps! :D
what is 1+1
jwjeb dhjajwej
Answers
Answer:
2
Step-by-step explanation:
Really doesnt need more explanation
On a scale drawing , a tree is 6 3/4 inches tall.The scale factor is 1/20 . Find the height of the actual tree.
Answers
Answer:
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⠀⠀⠀⠀⢀⡴⠃⢀⡴⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀
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⠀⠀⠀⣸⠁⢰⠃⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀
⠀⠀⠀⡇⠀⡾⡀⠀⠀⠀⠀⣀⣹⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀
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⠀⠀⡇⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀
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What type of number is "0.27820.27820," point, 2782?
Answers
Answer:
Decimal
Step-by-step explanation:
Im going to assume you double pasted, happens sometimes. so the answer would be decimal.
What is the simplified version of -4(8r + 3)
Answers
Answer:
-8-3
Step-by-step explanation:
-4(8r+3)
-32r-12
divide both sides by 4
-8-3
Answer:
-8-3
Step-by-step explanation: