Answer:
The length of the AR is [tex]3\sqrt{17}[/tex] or [tex]12.4[/tex] units.
Step-by-step explanation:
Given the endpoints of a line segment AR
A(8, -2)R(-4, 1)We can calculate the length of AR using the formula
[tex]L_{AB}=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
In our case,
(x₁, y₁) = (8, -2) (x₂, y₂) = (-4, 1)Substituting (x₁, y₁) = (8, -2) and (x₂, y₂) = (-4, 1) in the formula
[tex]L_{AB}=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(-4-8\right)^2+\left(1-\left(-2\right)\right)^2}[/tex]
[tex]=\sqrt{\left(-4-8\right)^2+\left(1+2\right)^2}[/tex] ∵ Apply rule: [tex]-\left(-a\right)=a[/tex]
[tex]=\sqrt{12^2+3^2}[/tex]
[tex]=\sqrt{144+9}[/tex]
[tex]=\sqrt{153}[/tex]
[tex]=\sqrt{9\times 17}[/tex]
[tex]=\sqrt{17}\sqrt{3^2}[/tex] Apply radical rule: [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]
[tex]=3\sqrt{17}[/tex] Apply radical rule: [tex]\sqrt[n]{a^n}=a[/tex]
[tex]=12.4[/tex]
Therefore, the length of the AR is [tex]3\sqrt{17}[/tex] or [tex]12.4[/tex] units.
Find the value of y when x = -5.
y=6r
When x= -5, y=
Answer:
6
Step-by-step explanation:
Because y isn't it's number
Convert the equation 9x + y = 4 Into slope-intercept form. Make sure to simplify if possible.
Answer:
x = -1/9y + 4/9
Step-by-step explanation:
9x+y=4
Step 1: Add -y to both sides.
9x+y+−y=4+−y
9x=−y+4
The required equation in slope intercept form is given by y = -9x + 4.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees
What is the intercept in the equation?In the equation intercept is the value of the linear function where either of the variables is zero.
here,
The slope intercept of the line is given as,
y = mx + c,
Where m = slope of the line and c = y-intercept of the line,
Given equation of line 9x + y = 4
Rearrange the equation,
9x + y = 4
y = -9x + 4
Thus, the required equation in slope intercept form is given by y = -9x + 4.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
75% of b is 11 what is b
Answer:
14.67
Step-by-step explanation:
can someone please help me, i put it at 40 points :) please help.
Answer:
5x + 2
Step-by-step explanation:
X is going to be the "number"
5 times the number
and then add two
Answer:
2 + 5 x n
Hope this helps
Try solving this: (5 3/4) (2)
Answer:
11 1/2
Step-by-step explanation:
2)
What is the value of x when x-3 = 10?
A)
-13
B)
-7
0
D)
13
Answer:
13
Step-by-step explanation:
How many solutions does the system have?
| 3y = -6x + 9
y = -6x +9
Answer:
one solution, y=0, x = 1.5
Step-by-step explanation:
3y = -6x + 9
y = -6x +9
Answer:
Exactly one solution :)
Step-by-step explanation:
I need some help on this question! I will mark if you help!
Answer:
not completely sure, but if 81 is the total degree, then the answer should be 37, all u have to do is subtract....i think
Step-by-step explanation:
sorry if wrong. good luck
Answer: 37°
Step-by-step explanation:
whole angle=81
81-44=37
Can someone help me pleaseeeeee 60 points
A company uses the expression 1.03^(2+x) to calculate the total percent increase in the company's operating cost, where x represents the number of years since the company began operating.
Which expression could be used to calculate the same total percent increase in the company's operating cost?
a.) 1.03^2 + 1.03^x
b.) 1.03^2 * 1.03^x
c.) 1^(2 + x) + 0.03^(2 + x)
d.) a^(2 + x) * 0.03^(2 + x)
Answer: is D
Step-by-step explanation:
Answer:
(B)
Step-by-step explanation:
According to exponent rules, a^(x+y) = a^x * a^y:
1.03^(2 + x) = 1.03^2 * 1.03^x
Solution: (B)
A paper drinking cup in the shape of a cone has a height of 12 centimeters and a diameter of 10 centimeters. Which of the following is closest to the volume of the cup in cubic centimeters?
Answer:
12
Step-by-step explanation:
A can contains 24 fluid ounces of fruit juice. how many pints of juice does the can contain?
Answer:
I believe it contains 1.5 pints of juice.
Step-by-step explanation:
Can I get help with this
Answer:
X = 60
Y = 50
Step-by-step explanation:
The total degrees of a triangle is 180 degrees. For the middle triangle, 50+70=120 so 180-120=60.
On the far right, Y=50 because you take 50 degrees from the middle triangle, and insert it there.
What is the equation of the line that is parallel to y=-x+4 and that passes through (-2,-2)?
Answer:
y=-x-4
Step-by-step explanation:
Sandy went to her local zoo that featured 37 monkey exhibits. If the zoo features 49 exhibits in total, then what percent of the zoo's exhibits feature monkeys? Round your answer to the nearest whole number show your work 66 points
Answer:
75.5102040816%
Step-by-step explanation:
37 out of 49 is 75.5102040816
a shirt cost $75 it is on sale for 20% off. What is the total cost of the jeans
Answer:
Assuming you meant a shirt is $75............total cost of the shirt
$60
Step-by-step explanation:
$75 × 20% = $15
$75 - $15 = $60
7x — 7 = 3х – 3.
what is x
Answer:
1
Step-by-step explanation:
7x-7=3x-3
7x-3x=-3+7
4x=4
divide both sides by 4
hence,x=1
solve for brainliest
Answer:
A ≈ 78.5
Your answer was wrong because it said to round to the nearest tenth.
Step-by-step explanation:
First, to find the area of a circle, you need the radius or diameter of a circle. You can see that the radius is 5 (counting the units from E directly horizontal to the edge of the circle).
Area of a circle is:
A = πr²
A = π (5)²
Following PEMDAS (order of operations), you would do the exponent first:
A = π (25)
A ≈ 78.5
Which quadrant does the terminal side of a -145° angle lie in?
Please help!! Giving brainliest and extra points!! (Click on the photo)
Answer:
50.24
Step-by-step explanation:
The formula for the area using diameter is A=1/4πd^2. So just plug the 8 into the formula, A=1/4π8^2, and solve. The answer will come out to be 50.27 which is the closest to 50.24.
27 = 54
value that would make it true
Answer:
2
Step-by-step explanation:
27 = 54,
let's say the value that will make it true is x
So then,
27 * x = 54. If we divide both sides by 27, we have
x = 54 / 27
x = 2
The value that will make it true is multiplying 27 by 2
pls help i am on a timer will give a brainlist for the first person to answer it
Answer: c
Step-by-step explanation:
Solve a/-16 + 8 = 12.
...............................
Answer:
355
Step-by-step explanation: me
(2x2 + 3x - 1) + (x2 - x + 2)
Answer:
x = 2
Step-by-step explanation:
7x -1 + x+2
6x = 3
x = 2
!;!;!;?;/;/;/;/;/;;
Help asap plsss thank youuuuu!
PLZ HELP ME WITH THIS QUESTION!
Answer:
56
Step-by-step explanation:
I am about to go on trip help
Answer:
1 inch = 8 miles
112÷14=8, so one inch is 8 miles.
Zaire is making granola bars. For one batch of bars, the recipe requires 1 2/3 cups of rolled oats and 1/2 cups raisins. What is the combined amount, in cups, of rolled oats and raisins that is used in one batch of granola bars?
Answer:
2 1/6
Step-by-step explanation:
The combined amount in cups needed can be determined by adding the cups of rolled oats with the cups of raisins
[tex]1\frac{2}{3} + \frac{1}{2}[/tex]
[tex]1 \frac{4 +3}{6}[/tex]
= [tex]1\frac{7}{6}[/tex]
Converting the improper fraction to mixed fraction gives
[tex]1 + 1\frac{1}{6}[/tex]
[tex]2\frac{1}{6}[/tex]
ok so im really confused i will give brainliest to who answers first!
Answer:
1) fraction
2)denominator
3)quotient
4)remainder
i hope this helps
If y = kx, where k is a constant,
and y = 30 when x = 6, what is
the value of y when x = 3?
Answer:
Step-by-step explanation:
Actually it's 11 because 11 is technically the same when added to constant of x =6 = 11
explain how to multiply 15 3/4 x 8
Please help! I don't have that long until it needs to be turned in.
Answer:
Step-by-step explanation:
The easiest way is to use the distributive rule. 15¾ = 15+ ¾
15¾*8 = (15+¾)8 = 15*8 + ¾*8 = 120+6 = 126