Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d = [tex]\sqrt{(10-2)^2+(y+3)^2}[/tex]
= [tex]\sqrt{8^2+(y+3)^2}[/tex]
Given distance between points is 10, then
[tex]\sqrt{64 +(y+3)^2}[/tex] = 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3
What is the result of multiplying the second equation by 2 and adding to the first equation?
x+3y=10
2x−y=−1
-------------
A. 5x+3y=6
B. 5x+y=8
C. 3x+2y=9
D. 3x−5y=−12
Answer:
5x + y = 8
Step-by-step explanation:
Given the equations:
x+3y=10 ____ (1)
2x−y=−1 ____ (2)
Multiply (2) by 2
2(2x - y = - 1) = 4x - 2y = - 2
4x - 2y = - 2 - - - (3)
Add (1) and (3)
4x - 2y = - 2
x + 3y = 10
___________
5x + y = 8
_________
Answer:
5x + 3y = 6
Step-by-step explanation:
The point (4, 12) is an ordered pair in a proportional relationship. What equation represents this relationship?
1. y = 3x
2.y = 12x
3.y = 4x
4.y = 48x
Answer:
1
[tex]from \: the \: question \\ y =k x - - - (i)\\ where \: k \: is \: the \: constant \: of \: proportionality \\ for \: the \: point \: given \\ y = 12 \: and \: x = 4 \\ from \: (i) \\ 12 = (k \times 4) \\ k = \frac{12}{4} \\ k = 3 \\ substitute \: for \: k \: in \: (i) \\ y = 3x[/tex]
After 8 weeks on a fitness program, mrs.Honaker can job 30 miles. Her average mileage gain has been 2 miles per week. Write an equation in slope intercept form to model this scenario.
Answer:
y = 2x + 14
Step-by-step explanation:
Equation in slope intercept form:
y = mx + c
From the scenario above ;
y = total miles = 30
Average mile gain per week = slope (m) = 2
Number of weeks (x) = 8
We can obtain intercept, c :
30 = 2(8) + c
30 = 16 + c
30 - 16 = c
14 = c
Hence,
Equation goes thus ;
y = 2x + 14
i will breann list yuo
Answer:
D. 4/9 and 0.4 repeated
Step-by-step explanation:
4000/9 is .4 repeated and the 4 in the remainder which would end up as 4/9
How many moles are in 2.75 x 10^23 atoms of Sulfur ? please show steps
Answer:
2.75x(1023)
=2.75*x*1e+23
=2.7499999999999997e+23*x
=2.7499999999999997e+23x
Step-by-step explanation: Hope this help
find the length of each bolded arc. Round to the nearest hundredth.
Answer:
Length of the bold arc = 72.63 ft
Step-by-step explanation:
Length of the arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here, θ = angle subtended by the arc at the center
r = Radius of the circle
Since, angle subtended by the bold arc at the center = 360 - 73
= 287°
And radius of the circle 'r' = 14.5 ft
By substituting these values in the formula,
Length of the bold arc = [tex]\frac{287}{360}\times (2\pi)(14.5)[/tex]
= 72.632
≈ 72.63 ft
Therefore, length of the bold arc = 72.63 ft
Help me if you are good at math!
On Tuesday at lunch time, it was 29°C. By sunset , the temperature had dropped to 16°C
Answer:
whats the question?
Step-by-step explanation:
I need help please im struggling on this
Answer:
3^2+4^2=7^2
√7^2
7
Answer: c= 5
Given a=4 and b=3,
c = 5
Step-by-step explanation: Given a=4 and b=3,
c = 5
∠α = 53.13° = 53°7'48" = 0.9273 rad
∠β = 36.87° = 36°52'12" = 0.6435 rad
area = 6
perimeter = 12
h =
12
5
= 2.4
Solve the equation x^2-6x-1=0 to the nearest tenth.
9514 1404 393
Answer:
x = {-0.2, 6.2}
Step-by-step explanation:
The values that go into the quadratic formula are a = 1, b = -6, c = -1.
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-6)\pm\sqrt{(-6)^2-4(1)(-1)}}{2(1)}\\\\=\dfrac{6\pm\sqrt{40}}{2}=3\pm\sqrt{10}\\\\\boxed{x\in\{-0.2,\ 6.2\}}[/tex]
Ben is shopping for tires for his car. After looking at several stores, he decides to purchase his tires from All About Tires. The cost of their tires is shown in the table below.
Study the table below...
All About Tires...
Number of Tires... X...
Total Cost... Y...
... 2, $62...
... 3, $93...
... 7, $217...
... 9, $279....
Based on the information in the table, how much will Ben pay for 4 tires?
Answer:
124
Step-by-step explanation:
63 +31 is 93 +31 is 124
Answer:
Answer:
124
Step-by-step explanation:
63 +31 is 93 +31 is 124
How am I suppose to do this?
Answer:
You would do l*w which would be 144. Then, since there are 7 identical tiles, you would multply that by 7. The answer is 1008. :D
Step-by-step explanation:
I need help immediately :(((
Answer: $118.00
Step-by-step explanation:
Answer:
18.8 I'm not sure though
Which set of numbers could not represent the lengths of the
sides of a right triangle?
A(1,3,square root of 10)
B {2,3,4}
C {3,4,5)
D {8, 15, 17)
ANSWER ASAP!!!!!! PLEASE
What is the value of x in the equation StartFraction 4 Over 7 EndFraction (StartFraction 21 Over 8 EndFraction x + one-half) = negative 2 (StartFraction 1 Over 7 EndFraction minus StartFraction 5 Over 28 EndFraction x)? Write your solution in decimal form.
Answer:
D
Step-by-step explanation:
Answer:
the answer to your question is D
Step-by-step explanation:
hope this helps
Find the area of the shape below:
Answer:
Area of shape = 120 m²
Step-by-step explanation:
Given:
Height of triangle joint = 4 m
Base = 12 m
Width = 8 m
Find:
Area of shape
Computation:
Area of shape = Area of triangle + Area of rectangle
Area of shape = (1/2)(Base x height) + [Base x Width]
Area of shape = (1/2)(12 x 4) + [12 x 8]
Area of shape = 24 + 96
Area of shape = 120 m²
Please help. 20 points! and brainliest!
Answer:
7=285
8=4.8
9=8
Step-by-step explanation:
mark brainlyest
Seventy-nine less than five times a number is at most 241. What is the maximum value of the number?
Answer: 64
Step-by-step explanation: Hopes this help
if g(X) = 2x-1 , then what is g(3)?
Can someone please help me?
Answer:
The correct answer is d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
m divided by 5 is the same as m/5
Plz I need help it’s due in 20 mins
Answer: ??
Step-by-step explanation:
Show the graph pls
Line M is represented by the equation -2/3+8. Line W is perpendicular and passes through the point (4,3)
Answer:
y= -3/2x+9
Step-by-step explanation:
Well we have to know that to find a line perpendicular to a given line, you have to have opposite slopes. So that makes the equation begin as y=-3/2x because it's opposite of y=2/3x. Then we have to make sure it goes through the point (4,3). To do that, I tweaked the numbers in my graphing calculator and it worked with 9! So the equation is y= -3/2x+9
Find the slope, or rate of change, from the table. *
Answer:Answer:Answer:the change from the table is -q
Step-by-step explanation: 3x-5 = -15
and the other change Is the -21
5. Tony wants to buy a ticket for $15.75. He
has $9.25. How much must he earn to
buy the ticket?
Answer:
$6.50
Step-by-step explanation:
You just have to subtract the 2 so you get $6.50 which is how much he needs to earn
Answer:
$6.5
Step-by-step explanation:
all you have to do is find the difference between the two values
15.75-9.25=6.5
Sam is making a project out of wood. He needs a board that is 2 3/4 feet long. He has a board that is 3 1/8 feet long. How much does Sam need to cut from the board for the project?
Answer:
He needs to cut 3/8
Convert: needs 22/8 and has 25/8
Determine the length of x in the triangle. Give your answer to two decimal places. You may use the Desmos scientific calculator:
Answer:
35.09
Step-by-step explanation:
From the question given above, the following data were:
Opposite = 12
Hypothenus = X
Angle θ = 20 °
The value of x can be obtained by using sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 20 = 12 / X
0.342 = 12 / X
Cross multiply
0.342 × X = 12
Divide both side by 0.342
X = 12 / 0.342
X = 35.09
Thus, the value of X is 35.09
please help 50 points and brainliest
Answer:
6 meters per seccond
Step-by-step explanation:
The perimeter of a rectangular plot of land
is 46.4m. If the width of the plot is 7.4m.
what is its length?
A. 15.8m
B. 8.8m
C. 13.6m
D. 9.2m
Answer is A.
edited, this is the fixed ones.
Winston goes to the store and buys a garden statue for $30. The store has a sales tax rate of 5%. How much tax will Winston have to pay?
Answer:
$1.50
Step-by-step explanation:
5% = 0.05
($30) * (0.05) = $1.50
Answer: $1.50
Explanation:
5%=0.05
30x0.05=1.5
I am new to this whole thing well website and i'm doing six grade math.