Answer:
Length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21
Step-by-step explanation:
We need to find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) C(1, -3).
We have three sides of triangle AB, BC and AC
The length of side can be calculated using distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Now finding lengths of sides AB, BC and AC
i) Length of side AB
We have A (7,4), B (-8, 6)
and [tex]x_1=7, y_1=4, x_2=-8, y_2=6[/tex]
Putting values in formula and finding length
[tex]Length \ of \ side \ AB \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AB \ =\sqrt{(-8-7)^2+(6-4)^2}\\Length \ of \ side \ AB \ =\sqrt{(-15)^2+(2)^2}\\Length \ of \ side \ AB \ =\sqrt{225+4}\\Length \ of \ side \ AB \ =\sqrt{229}\\Length \ of \ side \ AB \ =15.13[/tex]
So, Length of side AB is 15.13
ii) Length of side BC
We have B (-8, 6) and C(1, -3)
and [tex]x_1=-8, y_1=6, x_2=1, y_2=-3[/tex]
Putting values in formula and finding length
[tex]Length \ of \ side \ BC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ BC \ =\sqrt{(1-(-8))^2+(-3-6)^2}\\Length \ of \ side \ BC \ =\sqrt{(1+8)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{(9)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{81+81}\\Length \ of \ side \ BC \ =\sqrt{162}\\Length \ of \ side \ BC \ =12.72[/tex]
So, Length of side BC is 12.72
iii) Length of side AC
We have A (7,4)and C(1, -3)
and [tex]x_1=7, y_1=4, x_2=1, y_2=-3[/tex]
Putting values in formula and finding length
[tex]Length \ of \ side \ AC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AC \ =\sqrt{(1-7)^2+(-3-4)^2}\\Length \ of \ side \ AC \ =\sqrt{(-6)^2+(-7)^2}\\Length \ of \ side \ AC \ =\sqrt{36+49}\\Length \ of \ side \ AC \ =\sqrt{85}\\Length \ of \ side \ AC \ =9.21[/tex]
So, Length of side AC is 9.21
So, length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21
I need help asap please
Answer:
-3 or decreasing by 3
Step-by-step explanation:
To find the average change, you only care about the first and last point which would be (3,17) and (8,2)
the overall change during that time is 2-17=-15 (for the f(x) side )
the overall change during that time is 8-3=5(for the x side)
all we have to do is -15/5=-3
therefore the average rate of change is -3
Plz help!!!!!!!!!!!!!!!!!!!!!
Answer:
c = 5n
Step-by-step explanation:
The cost is equal to the price times the number of notebooks
Y=4x+2
A) Identify the slope (4,-2)
B)Identify the y-intercept:-2
Answer:
4 - slope
2 - y - intercept
Step-by-step explanation:
The equation is in slope-intercept form.
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The '4' is the slope of the equation.
[tex]y=\boxed{m}x+b\\\\y=\boxed{4}x+2[/tex]
The '2' is the y-intercept.
[tex]y=mx+\boxed{b}\\\\y=4x+\boxed{2}[/tex]
Hope this helps.
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
a. 6
b. 39
c. 74
d. 202
2. What is the value of 9x – 4y if x = 3 and y = 2?
F. 12.
G. 19
H. 93
1. 27
H
Answer:
G. 19 is your answer dear
Step-by-step explanation:
9(3)-4(2)
27-8 = 19
I need help please help me
Answer:
A, B and D
Step-by-step explanation:
The zeros of f(x) are the points located on the x- axis, that is where y = 0
We can check which ones are the solutions by finding the zeros of f(x)
To find the zeros let f(x) = 0 , that is
(x² + 2x - 8)(x - 6) = 0 ← factorise the quadratic
(x + 4)(x - 2)(x - 6) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x - 6 = 0 ⇒ x = 6
There are 3 zeros at x = - 4, x = 2, x = 6
These are located at A, B and D
Answer:
A, D, B
Step-by-step explanation:
The roots (zeroes) are the x values where the graph intersects the x-axis. To find the roots(zeroes), replace y with 0 and solve for x.
What is the average rate of change in profit from Hour 5 to Hour 10?
Answer:
d
Step-by-step explanation:
so at 5 hours he was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600
$600 is the average rate of change in profit from Hour 5 to Hour 10
What is Rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity
The given table is
Hour Profit
0 $0
2.5 $500
5 $900
7.5 $1200
10 $1500
5 hours the profit is 900 and 5 hours later he is at a profit 1500
We need to subtract 900 from 1500 to find the average rate of change.
1500-900=600
Hence $600 is the average rate of change in profit from Hour 5 to Hour 10
To learn more on Rate of change click:
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Which of the following pairs of triangles can be proven congruent by SSS?
Answer:
D
Step-by-step explanation:
There are 32 radios , 8 of them are out of order. what percent of radios are out of order ?
chapter in maths is comparing quantities need answer fast pls.
Answer:
[tex]\large\boxed{\fcolorbox{blue}[/tex]
Answer:
25%
Step-by-step explanation:
8÷32
= 0.25 x 100
= 25%
I WILL MARK BRAINIEST
please answer question 2 it shows the answer I got wrong so don’t choose that one
Answer:
C
Step-by-step explanation:
They are similar triangles as all 3 angles are same
Answer:
C. The triangles are similar
Step-by-step explanation:
Similar means same figure/shape but not the same size, congruent is exactly the same. We can see that the two triangles are similar in shape, and if u want to go that fat, they have the same angles too. But they're not the same size so they are similar.
slope = 1 y-intercept = 3
Answer:
y = x + 3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
1x is the same as x
HELP ASAP DUE IN 5!!!!
Determine whether the relationship between the two quantities described in each table is linear.
If so, find the constant rate of change. If not, explain your reasoning.
O Yes; 4 apples/tree
O Yes; 20 apples/tree
O No; No constant rate of change
O None of the above
Answer:
No; No constant rate of change
Step-by-step explanation:
5 trees > 100 apples --> 20 apples/tree
10 trees > 120 apples --> 12 apples/tree
15 trees > 150 apples --> 10 apples/tree
20 trees > 180 apples --> 6 apples/tree
What function graph has the greatest slope?
A. G(x)
B. F(x)
C. J(x)
D. H(x)
Answer:
Its either C or A
I qould defenetly go with A though..
Which value of b results in infinitely many solutions for the system?
9x+6y=b
3x+2y=1
6
1
5
3
Answer: 3
Step-by-step explanation:
I just finished the test and this was the answer I put and it was right.
9x+6y=b
6y=b-9x
y=b/6 -9/6x
y=b/6-3x/2
y= -3x/2 +b/6
3x + 2y = 1
2y = 1 - 3x
y = 1/2 -3/2x
y = -3/2x + 1/2
b/6=1/2
b=3
Answer:
Step-by-step explanation:
The sum of two numbers is 116 and their difference is 18. Find the larger number.
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Answer:
67
Step-by-step explanation:
let larger number be x and the other be y.
x - y = 18
x = 18+y
now, x + y = 116
therefore, 18+y+y= 116
18 + 2y =116
2y = 116-18
2y = 98
y = 98/2 = 49
larger number = 49 + 18 = 67
i need some help with this
Answer:
d
Step-by-step explanation:
hope this is right
Earl runs 60 meters in 40 seconds. How many meters does Earl run per second?
Earl runs ___ meters per second.
Answer:
Earl runs 1.5 meters per second
Step-by-step explanation: 60 divided by 40= 1.5
Answer:
1.5 meters/s
Step-by-step explanation:
Since he runs 60 meters in 40 seconds, we can divide 60 by 40 to get how quickly he runs in meters/s. 60/40 = 6/4 = 3/2 = 1.5, so Earl runs 1.5 meters per second.
Find the product of and 4/5 and 5/10
Answer:
1/3
Step-by-step explanation:
4 • 1/12
1/3
Answer:
2/5
Step-by-step explanation:
How do I solve this equation and find the solutions?
Answer:
x = 10
Step-by-step explanation:
x-sqrt(2x+5) = 5
2x+5 = 25-10x+x^2
x = 10
Hope this helped!
Answer:
x = 5
Step-by-step explanation:
x - 5 = [tex]\sqrt{2x+5}[/tex] ( x > 5)
(x - 5)² = ( [tex]\sqrt{2x+5}[/tex] )²
x² - 10x + 25 = 2x + 5
x² - 12x + 20 = 0
(x - 10)(x - 2) = 0
[tex]x_{1}[/tex] = 10
[tex]x_{2}[/tex] = 2 strange root, does not satisfy the condition x > 5 ( 2 - [tex]\sqrt{2*2+5}[/tex] ≠ 5 )
10 - [tex]\sqrt{2*10+5}[/tex] = 5
10 - 5 = 5
5 = 5
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPP!!!!
Select the missing property.
(9+3)v
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Distributive property
Answer:
Associative property of addition
Step-by-step explanation:
yes
Find the measure of <JKL =63°
Choose the value to make the equation true.
70
.
9
÷
Choose...
=
7
.
09
Step-by-step explanation:
= 7 . 09
I need help with this question pls
Answer:
it C
Step-by-step explanation:
just think about it
a balloon dress 140 miles towards the lessons 45 seconds then it suddenly changes and the win flies 90 miles towards the east and that's 25 seconds What's the total distance it traveled
The figure is made from squares of different sizes.Find the area of A if the side of each of the two indentical smallest square is 2cm.
Suppose that in a school with 150 total students, there are 10 students who have the flu. Administrators take an
SRS of 20 students to test for the flu. Let X = the number of students in the sample who test positive for the
flu.
Is X a binomial variable? Why or why not?
Answer:
The trials are not independent, so
X is not a binomial variable.
Step-by-step explanation:
The variable X is not a binomial variable. The reason for this is X is not independent.
What is a binomial variable?A binomial variable is a variable that determines the frequency that an event would happen in a fixed number of trials.
The conditions for a binomial variable include:
The observation fall into either a success or failure category with an equal chance of happening.There are a fixed number of observationsThe observations are independent.To learn more about binomial random variable, please check: https://brainly.com/question/25469830
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Convert 75% into a fraction and shade the circle according to the result.
Answer:
The answer is literally 3/4 as a fraction and you have to shade 15 parts.
2+2= ???????
What is it
Answer: The answer would be four.
Why is the solution of 3x + 5 = 2x - 7
Answer:
Use pemdas
Step-by-step explanation:
Paranthese, e, multiplacation, division, addition, subtraction
Answer:
Its option A
where the lines intersect x satisfies both y = 3x+5 and y = 2x - 7
Step-by-step explanation:
Which choice is equivalent to the expression below?