Answer:
10 units and (- 5, - 1 )
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C(- 8, - 5) and (x₂, y₂ ) = D(- 2, 3)
d = [tex]\sqrt{(-2+8)^2+(3+5)^2}[/tex]
= [tex]\sqrt{6^2+8^2}[/tex]
= [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex]
= 10
Calculate the midpoint using the midpoint formula
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
= [tex]\frac{-8-2}{2}[/tex], [tex]\frac{-5+3}{2}[/tex] )
= [tex]\frac{-10}{2}[/tex], [tex]\frac{-2}{2}[/tex] )
= (- 5, - 1 )
Find the area of the shape. 8
so the answer is in the picture
but once i show it i would like a crown for it :)
The area of the shape is 16pi units[tex]\\^{2} \\[/tex]
Find the solution to the equation 30x +7= 9. Give
your answer as a fraction.
Determine the sum of the solution to the equation
[tex](y - 3)(y + 2) = 0[/tex]
Answer:
jhvcvghvrxthrcftgv
Step-by-step explanation:
hkhvyyiytvhjh
Katherine went to dinner with her mother that same day of shopping. their total bill was $34.80. the sales tax is 6%. if they left a 25% tip, how much was their total bill?
Tax- ?
Tip- ?
How much was their total bill with tax and tip added(hundredths place)
Answer:
45.58
Step-by-step explanation:
Tax is 2.08
Tip is 8.7
Hope this helped
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22,...
Step-by-step explanation:
-10, -14, -18, -22,...
[tex]a1 = - 10 \\ a2 = - 14 \\ d = a2 - a1 \\ d = - 14 - - 10 \\ d = - 14 + 10 = - 4 \\ an = a1 + (n - 1)d \\ a35 = - 10 + (35 - 1) \times ( - 4) \\ a35 = - 10 + 136 \\ a35 = 126[/tex]
Answer:
[tex]here \: a1 = - 10 \\ d = - 14 - - 10 = - 14 + 10 = 4 \\ a35 = a1 + 34d \\ a35 = - 10 + 34 \times 4 \\ = - 10 + 136 \\ = 126 \\ thank \: you[/tex]
Determine the best method to solve the system of equations. x = 2y – 1 3x + y = 11
Please answer the best you can. Thanks
Answer:
Subsitution
Step-by-step explanation:
We have the equations:
x=2y-1
3x+y=11
The 3 methods of solving systems of equations are:
graphing
substitution
addition/elimination
Graphing involves graphing the two equations and finding their point of intersection, which is the answer
Substitution involves isolating one of the variables in one of the equations, then substituting the resulting expression into the other equation to find both numbers
Addition/Elimination involves adding the two equations together to clear a variable, solving for the other variable, and substituting the answer to the first variable in one of the equations to find the value of the cleared variable from before
Since we have x already isolated onto one side in the first expression, we can easily substitute it as 2y-1 in the second equation.
Therefore, substitution is the best method to solve this graph.
hope this helps!
Answer:
hi
Step-by-step explanation:
-11 + x = 7x - 5. PLEASE HELPP WHAT DISE X EQUAL
Answer:
x= -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Brainly plss?
Answer:
x=-1
use math papa calculator it helps :)
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer:
21/8
Step-by-step explanation:
KCF or keep change flip. keep 7/8. turn divide into multiply, then flip 1/3 to 3/1. 21/8 is what you get. Hope this helped!
Answer:
21/8
Step-by-step explanation:
Dividing by a fraction is like multiplying with the inverse:
So (7/8) / (1/3)
is the same as
(7/8) * (3/1) = (7/8) * 3 = 21/8
21/8 cannot be simplified, unless you find 2 5/8 simpler
“George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during 51 blinks?”
Please help
Answer:
9 minutes
Step-by-step explanation:
Rate of George's blinking:
85 / 15 = 17 blinks in 3 minutes
so after 51 blinks, 51 / 17 = 3, 3 x 3 = 9 minutes
A store is having a 25% off sale on all shirts. Select all of the possible ways to calculate the sale price for a shirt that normally costs $24.
A. 24 - (0.25 x 24)
B. (0.75) x 24
C. (0.25 x 24) x 3
D. (0.25 x 24)
E. (24 + 0.25)
Answer:
A,B, and C
Step-by-step explanation:
25%of 24 is 6, 24-6=18(new price)
A.24-(0.25×24)=24-6=18
B.(0.75)×24=18
C.(0.25×24)×3= 6×3=18
Write the equation of the parabola with a focus at (-3, -5) and a directrix at y = -7.
Answer:
The directrix is negative so the equation will be
x^2=4ay
x=-3
y=-5
a=x^2/4y
a=(-3)^2 /4*(-5)
a=9/20
x^2=4*(9/20)*y
x^2=9/5y
Step-by-step explanation:
The directrix always determine the equation to use. It is also important to notice the sign(-+).
WILL MARK BRAINLIEST!!! Solve the inequality - 3/4x + 6 > -3. x -2 x 12
Answer:
All real numbers
Step-by-step explanation:
Answer:
-3÷4x+6>-3×-2×12
-3÷4x+6>6×12
-3÷4x+6>72
-3÷4x+6-6>72-6
-3÷4x>66
-3÷4x×4x<66×4x
-3<264x
-3÷264<264x÷4
-0.01 (rounded)<x
Plzzzzz give me Brainliest!!!!!
Analyze the diagram below and complete the instructions that follow.
X
459
3
45°
Find the value of x.
A V3
B. 3V2
2
2
Answer:
B.y-Step-bstep explanation:
ok so
the triangle has 3 angle
45-45-90
one 45 points to x
that means the other side is also x
the 90 degrees points to 3
3=x√2
x=2.12132
The value of x in the given diagram is 3√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle has 45-45-90 degrees.
We have to find the value of x in the given triangle.
The cosine function is ratio of the adjacent side by hypotenuse.
cos 45= 3/x
The value of cos 45 degrees is one divided by root 2.
1/√2 =3/x
Now apply the cross multiplication
x=3√2
Hence, the value of x in the given diagram is 3√2, Option C is correct.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ7
I will give brainliest to the correct answer!
I need help hurry!!
Show ur work pls 5-10
Answer:
5. [tex]y=\frac{1}{3}x-3[/tex]
6. [tex]y=\frac{1}{4}x+4[/tex]
7. [tex]y=-5[/tex]
8. [tex]y=x+5[/tex]
9. [tex]y=\frac{-1}{2}x+6[/tex]
10.[tex]y=-4x+2[/tex]
Step-by-step explanation:
5. Slope = [tex]\frac{-1-0}{6-9}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]
[tex]y=\frac{1}{3} x+b\\0=\frac{1}{3}(9)+b\\0=3+b\\b=-3[/tex]
6. Slope => [tex]\frac{2-6}{-8-8} = \frac{-4}{-16} = \frac{1}{4}[/tex]
[tex]y = \frac{1}{4} x+b[/tex]
[tex]6=\frac{1}{4}(8)+b\\6=2+b\\b=4[/tex]
7. Slope => [tex]\frac{-5-(-5)}{-4-7}=\frac{0}{-11} =0[/tex]
[tex]y=-5[/tex]
8. Slope => [tex]\frac{4-7}{-1-2} = \frac{-3}{-3} = 1[/tex]
[tex]y=x+b\\7=2+b\\b=5[/tex]
9. Slope => [tex]\frac{10-4}{-8-4} = \frac{6}{-12}= \frac{-1}{2}[/tex]
[tex]y=\frac{-1}{2}x+b\\4= \frac{-1}{2}(4)+b\\4=-2+b\\b=6[/tex]
10. Slope => [tex]\frac{14-2}{-3-0} =\frac{12}{-3} =-4[/tex]
[tex]y=-4x+b\\2=-4(0)+b\\b=2[/tex]
rearrange y=4-3x/x-5 to make x the subject
Answer:
x = [tex]\frac{4+5y}{y+3}[/tex]
Step-by-step explanation:
Given
y = [tex]\frac{4-3x}{x-5}[/tex] ( multiply both sides by x - 5
y(x - 5) = 4 - 3x ( distribute left side )
xy - 5y = 4 - 3x ( add 3x to both sides )
xy + 3x - 5y = 4 ( add 5y to both sides )
xy + 3x = 4 + 5y ← factor out x from each term on the left side
x(y + 3) = 4 + 5y ← divide both sides by y + 3
x = [tex]\frac{4+5y}{y+3}[/tex]
Use elimination to solve the system of equations.
2x + 5y = 7
3x + 6y = 3
Answer:
(-9,5) or x = -9 and y = 5
Step-by-step explanation:
Hope this helps!
Natalia paid $38.95 for three medium-sized pizzas and a salad. Solve an equation to find the cost of one pizza, p, if Natalia paid $11.98 for the salad. Enter your answer in the box.
Answer:
38.95= 3 p+11.98
38.95-11.98=3p
26.97/3.=p
$8.99= p
Step-by-step explanation:
hope this helps
Answer:
$8.99 per pizza so p = $8.99
Step-by-step explanation:
$38.95 - $11.98 = $26.97
$26.97/3 = $8.99 = p
[36 + (3 x 2)] ÷ 6
can any one tell me the ans
Answer:
6+x
Step-by-step explanation:
hope this helps
HURRY PLZ!!!!!!BY 10:30
One inch is around 2 11/20 centimeters.What fraction of an inch is 1 centimeter?
A) 13/20
B) 17/20
C) 20/51
D) 20/11
Plz get this right!! for some reason it is worth 25 points on this test!! And it is a MIDTERM
Answer: C
Step-by-step explanation: Trust me on this ok?
can y’all help me on this?
Answer:
Step-by-step explanation:
V=l*w*h
V=4* 2 1/2 * 3 1/2=4*5/2*7/2=35
Answer:
V=35
Step-by-step explanation:
V=Bh
v=volume
b=base(length & width)
h=height
V=(4)(2 1/2)(3 1/2)
V=(10)(3 1/2)
V=35
write a subtraction
which crosses 100 and
has an answer of 18.
Explain your thinking.
At what rate did you invest your $1000, if it made you $120 in interest over the course of 3 years? (Write your answer as a percent without the percent sign)
Answer:
The rate at which the $1000 is invested is 4%.
Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.
Step-by-step explanation:
Amount invested = $1000
Total interest income over the course of 3 years = $120
Number of years = 3
Annual interest income = Total interest income over the course of 3 years / Number of years = $120 / 3 = $40
The interest ate on the $1000 invested can now be calculated as follows:
Interest rate = (Annual interest income / Amount invested) * 100 = ($40 / $1000) * 100 = 0.04 * 100 = 4%
Therefore, the rate at which the $1000 is invested is 4%.
Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.
Can somebody help me with this please
Answer:
Domain: [ 0,∞), {x|x ≥ 0}
Range: (-∞,-4], {yly ≤ -4}
Step-by-step explanation:
WILL MARK YOU BRAINLIEST
107 in the verse of 180 the whole turn will evaluate to 73.
Step-by-step explanation:
The Gamez family goes out for dinner and the price of the meal is $63. The sales tax on the
meal is 6.5% and they leave a 20% tip on the pre-tax amount. What is the total cost of the meal?
When sebatian weight his balikbayan box, its weight was 34 kg. When he got to the airport, he found out that the airline charge $5 for each lb in excess of the free baggage allowance of 50 lb. How much will sebatian pay for the excess weight?
Answer:
1 kg = 2.205 lb
34 X 2.205 = 74.97lbs
74.97 - 50 = 24.97
25 x 5 = $125
20 POINTS!!!
Write the algebraic expression or equation that represents the following word problem. **DO NOT EVALUATE OR SOLVE
Rene has a $50 gift card from a local coffee shop. Each day, he buys the same latte which costs $4.25. When will he have $11.75 left on his card?
Answer:
50-4.25x=11.75
Step-by-step explanation:
So first rene has 50 dollars and has 11.75 left eventually, so that indicates this is a subtraction problem. Also Rene buys a latte cost 4.25 dollars for a certain amount of days so let x represent amount of days and your equation should be 50-4.25x=11.75
PLEASE HELP ITS DUE IN % MINUTES PLEASE
Find the percent of change. Round to the nearest tenth, if necessary.
The Smith's home was worth $102,500 in 2013 and $111,000 in 2014.
Answer:
I think the percent of change would be 850000%,
Step-by-step explanation:
You would do 111,000 - 102,500 to find the amount of leftover money. This equals 8,500, which would be 850000% in percentages.
the lcm of 22 132 and 253 using prime factorization?
Answer:
3036
multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,
multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,
multiples of 253 are 253, 506, 759, 1012, and so on,
Its quite a time consuming process.
when all the numbers eventually meet together that is the answer.