Find the perimeter of △ABC with vertices A(−5, −5), B(3, −5), and C(−5, 1).
Answers
so notice, the sides AB and AC you can pretty much count them off the grid.
now, to get the CB side.
[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) C&({{ -5}}\quad ,&{{ 1}})\quad % (c,d) B&({{ 3}}\quad ,&{{ -5}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ CB=\sqrt{[3-(-5)]^2+[-5-1]^2}\implies CB=\sqrt{(3+5)^2+(-5-1)^2} \\\\\\ CB=\sqrt{8^2+(-6)^2}\implies CB=\sqrt{100}\implies CB=10[/tex]
sum all three sides up, and that's the perimeter of the triangle.
Related Questions
A recipe calls for 2 1/4 cups of sugar. You want to make only 1/3 of the recipe. how much sugar will you need?
Answers
Convert 2 1/4 to single fraction first
9/4 * 1/3 = 9/12 = 3/4 cup sugar
Which fraction has a value that's equal to 7/8
Answers
multiply both numbers by the same number
so multiply by 2 you get 14/16
multiply by 3 you get 21/24
and so on
What is 1/4 (5y-3)+1/16 (12y+17
Answers
What is the question? If you are only trying to expand the expression then the answer would be:
1/4 (5y-3)+ 1/16 (12y+17)
(5y/4) – (3/4) + (12y/16) + (17/16)
1.25y – 0.75 + 0.75y + 1.0625
2y + 0.3125
If you are trying to find for y, then you forgot to equate it to 0, that is:
2y + 0.3125 = 0
2y = -0.3125
y = 0.15625
Sue scored a total of 35 points in two games. she scored 6 times as many points in the second game is the first. how many more points did she score in the second game?
Answers
Total points is 35 so she scored 1/7 of 35 = 5 points in first game and 30 points in the second.
Answer 30 points
simplify (8x3-5x-1)-(7x2+6x-10)
Answers
(19x-1)-(8x-10)
19x1-8x+10
11x+9
Rewrite 56 + 32 as the product of the GCF and a sum.
Answers
hope it helps
Final answer:
To rewrite 56 + 32 as the product of the GCF and a sum, calculate the GCF, which is 8. Then, express the sum as 8 times the sum of the numbers obtained by dividing 56 and 32 with the GCF. The rewritten expression is 8 × 11.
Explanation:
To rewrite the expression 56 + 32 as the product of their greatest common factor (GCF) and a sum, we first need to find the GCF of 56 and 32. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The factors of 32 are 1, 2, 4, 8, 16, and 32. The common factors are 1, 2, 4, and 8. The largest common factor is 8, which is the GCF.
Next, we divide both 56 and 32 by the GCF to find the other factor:
56 ÷ 8 = 7
32 ÷ 8 = 4
Now, we represent the original sum as the product of the GCF and the sum of the results from the division:
56 + 32 = 8 × (7 + 4)
When we simplify the sum inside the parentheses, we get:
8 × 11
Therefore, the expression rewritten as the product of the GCF and a sum is 8 × 11.
WHAT THE VALUE OF 12.5X10 7
Answers
R is the midpoint of QS, if QR=2x and RS=x+3, what is RS?
Answers
suppose this is your line,
R is the mid point
and it's given that
QR = 2x
and
RS = x+3
as R is the mid point of QS
so,
QR = RS
then,
2x = x + 3
2x - x =3
x = 3
as,
it's given that RS = x + 3
then,
RS = 3 + 3
= 6 units.
R is the midpoint of QS, if QR=2x and RS=x+3, then, the value of RS is:
RS is 6 units.
Here, we have that, R is the midpoint of QS, if QR=2x and RS=x+3.
Since R is the midpoint of QS, we know that QR is equal to RS.
Given that,
QR = 2x, and RS = x + 3,
we can set them equal to each other:
2x = x + 3
Now, let's solve for x:
2x - x = 3
x = 3
Now that we have the value of x, we can find RS:
RS = x + 3
RS = 3 + 3
RS = 6
So, RS is 6 units.
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Number 1. Write an explicit formula for the nth term. Correct answer will get brainliest
Answers
Train passes through appleton station every 20 minutes how many trains pass through
Answers
(1 day)(24 hours/1 day)(60 minutes/1 hour) = 1440 minutes
Then, divide the calculated number of minutes by 20.
number of trains = 1440 minutes x (1 train / 20 minutes)
number of trains = 72 trains
Answer: 72 trains
A package of 10 cans of soup costs $14. An individual can costs $2. You need at least 25 cans.You decide to buy 3 packages of 10 cans. How much do you pay for each can?
Answers
convert the 5th root of x^3 into a rational expression and explain the steps
Answers
fifth root of n is;
n^(1/5)
And when there is x^3, the fifth root is multiply 1/5 with 3
x^3(1/5)
= x^(3/5)
So, this is the rational expression to write x^3.
Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.
What is the youngest age Juanita's cousin can be?
Answers
x + y >= 103
substituting for x:-
y + 13 + y >=103
2y >= 90
y >= 45
Answer is 45.
Answer:
45
Step-by-step explanation:
I can confirm, the first guy is right (I did the test)
Bill, bob, and barry are hired to paint signs. in 8 hours bill can paint 1 sign, bob can paint 2 signs, and barry can paint 1 and 1 / 3 signs. they all come to work the first day, but barry doesn't like the job and quits after 3 hours. bob works half an hour longer than barry and quits. how long will it take bill to finish 2 signs they were supposed to paint?
Answers
Bill: x = 1/8 signs/h
Bob: y = (2 signs)/(8 h) = 1/4 signs/h
Barry: z = (4/3 signs)/(8 h) = 1/6 signs/h
The job is to paint 2 signs, working together.
In the first 3 hours, the amount painted is
(x+y+z signs/h)*(3 h) = (1/8 + 1/4 + 1/6)*3 = 13/8 signs
Remaining: 2 - 13/8 = 3/8 signs
Barry quits.
In the next 1/2 hour (30 minutes), the amount painted is
(x + y signs/h)*(0.5 h) = (1/8 + 1/4)*0.5 = 3/16 signs
Remaining: 3/8 - 3/16 = 3/16 signs
Now Bob quits.
The time for Bill to finish the job is
(3/16 signs)/(1/8 signs/h) = 3/2 h
Answer: Bill finishes the job in 1.5 hours (or 1 hour, 30 minutes)
It will indeed take Bill 1.5 hours to finish the remaining [tex]\( \frac{3}{16} \)[/tex] signs.
Work done by Bill, Bob, and Barry collectively take the working efficiency in a defined time interval.
Barry's work in 3 hours:
[tex]\(3 \times \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \text{ sign}\)[/tex]
Bob's work in 3.5 hours:
[tex]\(3.5 \times \frac{1}{4} = \frac{7}{8} \text{ sign}\)[/tex]
Bill's work for the same time until Bob leaves (3.5 hours):
[tex]\(3.5 \times \frac{1}{8} = \frac{3.5}{8} = \frac{7}{16} \text{ sign}\)[/tex]
Total work done by all three in the first 3.5 hours:
[tex]\[ = \frac{1}{2} + \frac{7}{8} + \frac{7}{16}\\= \frac{8}{16} + \frac{14}{16} + \frac{7}{16} \\= \frac{29}{16} \text{ signs} \][/tex]
Remaining work to be done:
[tex]\[ = 2 - \frac{29}{16} \\= \frac{32}{16} - \frac{29}{16} = \frac{3}{16} \text{ signs} \][/tex]
Time for Bill to complete remaining work:
Bill’s rate: [tex]\( \frac{1}{8} \text{ signs per hour}\)[/tex]
Time to paint [tex]\( \frac{3}{16} \text{ signs}\):[/tex]
[tex]\[ =\frac{\frac{3}{16}}{\frac{1}{8}} \\= \frac{3}{16} \times 8 = \frac{24}{16} = 1.5 \text{ hours} \][/tex]
Thus, It will indeed take Bill 1.5 hours to finish the remaining [tex]\( \frac{3}{16} \)[/tex] signs. This confirms that the correct answer is 1.5 hours.
Which of the following statements is not true?
The sum of two positive numbers is always positive.
The product of two negative numbers is always positive.
The sum of two negative numbers is always negative.
The quotient of two negative numbers is always negative.
Answers
Answer:
The false statement is d; the quotient of two negative numbers is always negative.
The false statement is The quotient of two negative numbers is always negative.
What are integers?The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.
Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)First, The sum of two positive numbers is always positive.
The statement is true.
For example, +3 + (+6)= +9
Second, The product of two negative numbers is always positive.
The statement is true.
For example, (-3) x (-6) = +18 { (-) x (-) = (+)}
First, The sum of two negative numbers is always negative.
The statement is true.
For example, -3 + (-12)= -3 - 12 = -15
First, The quotient of two negative numbers is always negative.
The statement is false.
For example, -9/(-3)= +3
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How to solve quadratic inequalities algebraically?
Answers
Solve ( x – 3)( x + 2) > 0.
Solve ( x – 3)( x + 2) = 0. By the zero product property,
Make the boundary points. Here, the boundary points are open circles because the original inequality does not include equality (see Figure 1).
Select points from the different regions created (see Figure 2).
See whether the test points satisfy the original inequality.
Since x = –3 satisfies the original inequality, the region x < –2 is part of the solution. Since x = 0 does not satisfy the original inequality, the region –2 < x < 3 is not part of the solution. Since x = 4 satisfies the original inequality, the region x > 3 is part of the solution.
Represent the solution in graphic form and in solution set form. The graphic form is shown in Figure 3.
The solution set form is { x| x < –2 or x > 3}.
Figure 1. Boundary points.Figure 2. Three regions are created.Figure 3. Solution to ExampleSolve x2 = 144
Select one:
a. 72
b. 12
c. ±12
d. −12
So I chose B which I thought was correct but it was wrong
Answers
Power is the result of multiplying two numbers together. The solution of the x²=144 is ±12. The correct option is C.
What is power?Power is the result of multiplying two numbers together such that both numbers are equal to each other. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The solution of the given expression can be written as,
x² = 144
x² = 12×12 or -12×-12
x = √(12×12) or √(-12×-12)
x = 12 or -12
x = ±12
Thus, the solution of the x²=144 is ±12. This is because the multiplication of two positive numbers is positive, also, the sum of the two negative numbers is positive.
Hence, the solution of the x²=144 is ±12
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Consider the trinomial below x^2-20x+91 The factors of the given trinomial are
Answers
x -13
x -7
your answer is (x - 13) (x - 7)
hope this helps
hope it helps
It takes nim 2 2/3 hours to weave a basket. He worked Monday through Friday , 8 hours a day. How many baskets can he make?
Answers
40 / (2 2/3) =
40 / (8/3) =
40 * 3/8 =
120/8 =
15 <=== he made 15 baskets
Answer:
15 baskets
Step-by-step explanation:
In order to solve this question, first we need to know the amount of hours that Nim was able to work.
If Nim worked Monday through Friday, 8 hours a day, then:
Monday to Friday = 5 days
1 day = 8 hours
5 days * 8 hours = 40 hours
Out of these forty hours, Nim needs 2 2/3 hours to weave a basket. Therefore:
40 / (2 2/3) =
40 / (8 /3) =
40 * 3/8 =
120/8 = 15
Identify the slope of the line shown in the graph below: Graph of a vertical line with an x intercept of negative 1 slope = -1 slope = 0 slope = undefined slope = 1
Answers
Slope is Undefined because it's just a vertical line and it's not angled...
The figure is a parallelogram. One diagonal measures 28 units. Is the figure a rectangle? Explain.
A. No, it is not a rectangle because the diagonals are congruent.
B. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
C. Yes, it is a rectangle because the diagonals are congruent.
D. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.
Answers
Answer:
(B)
Step-by-step explanation:
From the given figure, we can see that the opposite sides of the given quadrilateral are congruent but they do not meet at right angles because there is no right angle marked on the given figure, thus the given quadrilateral cannot be rectangle (by the definition).
Therefore, No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
Also, only one diagonal of measure 28 is given, no other diagonal is given, thus rest of the options do not hold.
Which names are correct for PM−→− ?
Select each correct answer.
PY−→−
MP−→−
TM−→−
PT−→−
Answers
Therefore, another name for PM is angle MP.
The answers are PT−→− and PY−→−
Franklin waters' annual gross pay is $55,400. He takes a married exemption of $4,000. His state income tax rate is 3.5 percent. How much will he pay annually in state tax?
Answers
41,000/ 3.5%= 1799
so he will pay 1,799$
what are the new coordinates for (1,4) when rotated 180 degrees and 90 degrees counterclockwise, and 90 degrees clockwise?
Answers
Hope I helped :)
PLEASE HEP ME ANSWER THIS REALLY HARD QUESTION
Answers
When the a value is positive, the parabola has a minimum and opens up. However, when the a value is negative, the parabola is upside down in comparison. It open downward and has a maximum point instead.
Final answer: A
What is the area of this shape ?
Answers
12 *16 = 192
1/2 *20*10 = 100
192 +100 = 292 square units
What is the answer and steps?
Answers
What multiplication do you use to multiply 10 to the power of 4?
Answers
[tex]10^4=10*10*10*10[/tex]
F(x) =8+2x and g(x) =1/2x the value of f/g(5)
Answers
(f/g)(5) = (f(5))/(g(5)) = (-8+2(5))/((1/2))(5) = 2/(5/2)
(f/g)(5) = 4/5
List the sides of each triangle from shortest to greatest
Answers
Also, the smallest side, is opposite the smallest angle.
a.[tex]70^o\ \textgreater \ 60^o\ \textgreater \ 50^o[/tex] so [tex]|RQ|\ \textgreater \ |PR|\ \textgreater \ |PQ|[/tex],
because RQ is opposite angle P, the largest,
PR is opposite angle Q , the middle
and PQ is opposite angle R, the smallest.
Greatest side: RQ
b. The sum of the measures of the interior angles of any triangle is 180°,
so
[tex]m(A)+m(B)+m(C)=180^o\\\\50^o+45^o+x=180^o\\\\x=180^o-50^o-45^o=85^o[/tex]
thus, m(C) is the largest angle. This means the largest side is the side AB.
Answers:
a) RQ
b)AB