Answer:
c). y = 2
Step-by-step explanation:
We can check a line by inputting the x and y from (x, y) into the equation.
For a. y = 2x we get
2 = 2*10 and 2 = 2*(-3), both of those are false
For b. y = 2x - 3 we get
2 = 2*10 - 3 and 2 = 2*(-3) + 10, both of those are false again
For c. y = 2 we get
2 = 2 and 2 = 2, both of those are true, so this is the right answer.
For d. y = 2x + 10 we get
2 = 2*10 + 10 and 2 = 2*(-3) + 10, both of those are false
Alternatively, we can solve the equation y = ax + b (this gives a single answer for any two points with different x's).
y = ax + b
We input (x, y) as (10, 2) and (-3, 2)
2 = a*10 + b = 10a + b
2 = a*(-3) + b = b - 3a
so we have
10a + b = b - 3a
13a = b - b
13a = 0
a = 0
Now we ca use a = 0 to solve either of the equations above:
2 = 10a + b
2 = 10*0 + b
2 = b
so with a=0 and b=2 we get the answer
y = 0*x + 2
y = 2
Which brings us to answer c. again.
I need help with this question? 2(t+1) =10
Answer:
Distribute
Subtract two from both sides of the equation
Simplify
and that's your solution
which should be t=4
Step-by-step explanation:
What type of angles are 22 and 27?
Answer: B
Step-by-step explanation:
Because they are on opposite sides and they are outside the parallel lines
If x=3
Arrange the list in an increasing order.
Answer:
It is already in an increasing order
1. 4x - 8 Highest
2. 3x - 2
3. 2x + 1
4. 1x - 0 Lowest
Step-by-step explanation:
1. 56
2. 25
3. 9
4. 1
What is the value of
N?
1/2
3/2
3/3
3
c is the answer
Answer:
Step-by-step explanation:
Directions: Find the value of x.
Round angle measures to the nearest degree.
Given:
The figure of a right triangle.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In the given right triangle,
Hypotenuse = 15
Perpendicular = 12.5
Now,
[tex]\sin x^\circ=\dfrac{12.5}{15}[/tex]
[tex]\sin x^\circ=0.83333[/tex]
[tex]x^\circ=\sin^{-1}0.83333[/tex]
[tex]x^\circ =56.442345^\circ[/tex]
[tex]x\approx 56[/tex]
Therefore, the equation used to find x is [tex]\sin x^\circ=\dfrac{12.5}{15}[/tex] and the value of x is 56.
Julie's gross pay is $1,008.71. Her deductions total of $386.00 what is her net pay?
Answer:
i believe it is 622.71 im not sure tho
Step-by-step explanation:
Answer:
$622.71
Step-by-step explanation:
Net Pay = Gross Pay - Deductions
Net Pay = $1,008.71 - $386.00
Net Pay = $622.71
Leave a like if this helped
What must be the sides of an equilateral triangle so that it's area should be equal to the area of an isosceles triangle with base 12m and equal sides 10m
Answer:
The sides of the equilateral triangle are 11.7 m.
Step-by-step explanation:
Let's find the area of the isosceles triangle:
[tex] A_{i} = \frac{bh}{2} [/tex]
Where:
b: is the base = 12 m
h: is the height
We can find the height by using Pitagoras:
[tex] x^{2} = \frac{b^{2}}{2} + h^{2} [/tex]
Where:
x is the hypotenuse = side of the triangle = 10 m
[tex] h = \sqrt{x^{2} - \frac{b^{2}}{2}} = \sqrt{(10)^{2} - 6^{2}} = 8 m [/tex]
Then, the area is:
[tex] A_{i} = \frac{12*8}{2} = 48 m^{2} [/tex]
Now, since the area of the isosceles triangle is equal to the area of the equilateral triangle:
[tex] A_{e} = A_{i} = 48 m^{2} [/tex]
[tex] A_{e} = \frac{bh}{2} [/tex]
The height of the equilateral triangle is given by:
[tex] b^{2} = \frac{b^{2}}{2} + h^{2} [/tex]
[tex] h = \sqrt{b^{2} - \frac{b^{2}}{2}} = \frac{b}{\sqrt{2}} [/tex]
Hence, the sides are:
[tex] A_{e} = \frac{1}{2}b\frac{b}{\sqrt{2}} = \frac{b^{2}}{2\sqrt{2}} [/tex]
[tex] b = \sqrt{A*2\sqrt{2}} = \sqrt{48*2\sqrt{2}} = 11.7 m [/tex]
Therefore, the sides of the equilateral triangle are 11.7 m.
I hope it helps you!
Answer:
The sides must be around 10.53 m
Step-by-step explanation:
You can calculate the area of isosceles dividing into 2 equal right triangles
Once you know that the area of the isosceles is 48 m²,solve for the side of the equilateral triangle
Formula for the Area: (A= area a = side)
A = (√3* a² ) / 4
48= (√3* a² ) / 4
Multiply both sides by 4
192 =√3* a²
Divide both sides by√3 ( √3 = 1.732050....)
110.851303 = a²
Square root on both sides
10 .5385...( 10.53 ) = a
Find the other endpoint of the line segment with the given endpoint and midpoint
Endpoint: (3,5)
Midpoint: (7, -2)
Answer:
The other endpoint is (11,-9)
Step-by-step explanation:
Midpoint Formula
[tex]\large\boxed{(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )}[/tex]
We already know the another endpoint which is (3,5). We substitute x = 3 and y = 5 in the formula. You can substitute in x1, x2 or y1, y2. I'll substitute in first x-term and first y-term instead.
[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]
Because sum of two x-coordinate (along with y-coordinate) divided by two must equal to the midpoint (Let's say that you get the value of midpoint when using midpoint formula.)
Solve the equation for both terms.
[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]
Cancel the denominator by multiplying the whole equation by 2.
[tex]\large{\begin{cases} \frac{3+x}{2}(2)=7(2)\\\frac{5+y}{2}(2)=-2(2) \end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}[/tex]
Isolate x-term and y-term.
[tex]\end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=14-3\\ y=-4-5 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=11\\ y=-9 \end{cases}}[/tex]
Therefore, when x = 11, y = -9. We can write in ordered pair as (11,-9). The ordered pair (11,-9) is our other endpoint of the line segment. This can be proved by using the distance formula between midpoint and endpoints.
Note: The distance of (3,5) and (7,-2) must equal to the distance of (11,-9) and (7,-2)
Calculate the area of a regular octagon if the radius is 10 cm long.
Answer:
Area is A≈282.8 cm
Step-by-step explanation:
Answer:
A=2(1+ √2)a2
482.84271
Step-by-step explanation:
:))
will the standard form of 8.5*10 to the power of -3 be more or less than 1 ? explain the effect the negative exponent has.
Answer:
The answer is 0.0085 So I'm guessing less than one.
Bir telefona yüzden20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor
Answer:
English Translation from G o o g l e T r a n s l a t e:
After a 20 percent discount on a phone, a 10 percent discount is given on the discounted price.
Assume x is phone cost
.2x + .1x
.3x
Is that what you needed?
G o o g l e Çeviri:
Telefonda yüzde 20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor.
G o o g le Translate'den İngilizce Çeviri:
Telefonda yüzde 20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor.
X'in telefon maliyeti olduğunu varsayalım
.2x + .1x
.3x
İhtiyacın olan bu muydu?
Please help?? I don't have that much time
Which terms are like terms? 2x, -3, 5b, 0
Answer:
-3 and 0 are like terms because both of them are numbers
If cos A= -4/5 and A is in the second quadrant, then cos 2A = ?
Answer:
i think its second pythagreom therom
Step-by-step explanation:
because
Matthew is half as old as Alan. If the sum of their ages is 54, find their ages.
Answer:
26
Step-by-step explanation:
i need this done today
3 yards 2 feet = __________ ft
Answer:
11 feet
Step-by-step explanation:
3 yards equals 9 feet because there are 2 feet in one yard. 2*3=9
9+2= 11
Which value makes the equation 2x -4 = 16 true? *
Answer:
10 makes this equation true
Step-by-step explanation:
2x -4 = 16 /+4
2x= 20 /÷2
x= 10
Test
2(10) - 4 = 16
20 - 4 = 16 Correct
WHAT IS IT? ASAP pls! Brainpower and points
A box contains 5 red, 4 white and 6 blue balls. If three balls are drawn at random without replacement, determine the probability that none of the balls selected is red.
Answer:
The probability that none of the balls selected is red ²⁴/₉₁
Step-by-step explanation:
Given;
number of red balls, R = 5
number of white balls, W = 4
number of blue balls, B = 6
Total number of balls, = 5 + 4 + 6 = 15
Probability of selecting 3 none red balls = P(WWW) or P(BBB) or P(WWB) or P(WBW) or P(BWW) or P(BBW) or P(BWB) or P(WBB)
[tex]P = (\frac{4}{15} \times \frac{3}{14} \times \frac{2}{13} ) + (\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13} ) + (\frac{4}{15} \times \frac{3}{14} \times \frac{6}{13} ) + (\frac{4}{15} \times \frac{6}{14} \times \frac{3}{13} ) + \\\\(\frac{6}{15} \times \frac{4}{14} \times \frac{3}{13} ) + (\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13} ) + (\frac{6}{15} \times \frac{4}{14} \times \frac{5}{13} ) + (\frac{4}{15} \times \frac{6}{14} \times \frac{5}{13} )[/tex]
[tex]P = \frac{24}{2730} + \frac{120}{2730} + \frac{72}{2730} +\frac{72}{2730} + \frac{72}{2730} + \frac{120}{2730} + \frac{120}{2730} + \frac{120}{2730} \\\\P = \frac{720}{2730} \\\\P = \frac{24}{91} \\\\[/tex]
Therefore, the probability that none of the balls selected is red ²⁴/₉₁
(look at screenshot)
Write an explicit rule and recursive rule for a geometric sequence with a second term of 6 and a third term of 12.
explicit:
recursive:
Answer:
Explicit : [tex]a_n=3(2)^{n-1}[/tex]
Recursive: a₁ = 1
[tex]a_n=a_{n-1}(2)[/tex]
Step-by-step explanation:
We have to write the recursive formula for the geometric sequence with second term 2 and third term 12.
Geometric sequence will be in the form of,
a, ar, ar², ar³,...........
Here, r = common ratio
a = first term of the sequence
Here, ar = 6 ------(1)
And ar² = 12 ------(2)
By dividing equation (2) by (1),
[tex]\frac{ar^2}{ar}=\frac{12}{6}[/tex]
r = 2
From equation (1),
a(2) = 6
a = 3
Recursive formula of a geometric sequence is given by,
a₁ = a
[tex]a_n=a_{n-1}(r)[/tex]
Therefore, for the given sequence,
a₁ = 1
[tex]a_n=a_{n-1}(2)[/tex]
Similarly, explicit formula of the geometric sequence is given by,
[tex]a_n=a_1(r)^{n-1}[/tex]
[tex]a_n=3(2)^{n-1}[/tex]
HELLPPP
Describe in words how to map AABC to its image
AAB'C'.
Answer:
Reflected across thhe Y-Axis (I think thats what your looking for)
Please help i will mark brainliest!!!
Answer:
64 square units
Step-by-step explanation:
if you spilt up the polygon you can find the area of the square and triangle making up the square.
length * width = Area; 6 * 8 = 48 sq units for the square part
1/2 * base * height = Area; 1/2 * 4 * 8 = 16 sq units for the triangle part
then add the two areas together for the area of the entire polygon:
48 + 16 = 64 sq units
Colin invests £1200 into his bank account. He
receives 3% per year compound interest. How
much will Colin have after 4 years?
Answer:
1,344
Step-by-step explanation: So first I multiplied 1,200 by .03 because in order to multiply by a percent you need to move it decimal back two times. After you multiply 1200 x .03 = 36. Next you would do 36 x 4 for the 4 years and it would = 144. Then you would add 144 to the original because it's interest and you would end up with Colin having 1,344.
I know the answer to this question but how many solutions does it have?
Answer:Hence, x = 5, y = 0 is the required solution.
Step-by-step explanation:
Answer:
There is only one solution
Step-by-step explanation:
There is a population of 17 bacteria in a colony. If the number of bacteria doubles every 229 hours, what will the population be 458 hours from now?
Answer:
68
Step-by-step explanation:
Step 1: Divide the asked hours by hours need to double
Step 2: Double the initial number of the population as per the result from step 1.
First divide 458 by 229, you will get 2
Now you double the initial population number twice
so 17 * 2 = 34 and again 34 * 2 = 68
Change 20 m/s in km/h
Answer:
72km/h
Step-by-step explanation:
the formula of changing metres per second to km/h is 18/5 and kilometre per hour into metres per second is 5/8 in hope it helps.
Find the Average
100-90-80-89-75-0
Explain how u got ur answer
Someone help I will give brainlist for whoever explains it
Answer:
72.3
Step-by-step explanation:
So, to find the average you need to add all the numbers together and divide it by the amount of numbers there are, if that makes sense.
so in your question: 100 + 90 + 80 + 89 + 75 + 0= 434
and there are 6 numbers that you had to add together, so you divide 434 by 6, which is 72.3 so that's the answer! It's quite easy once you understand how to do it :)
A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent of $9,800 was donated to charity?
Answer:
They donated 6%.
Step-by-step explanation:
The total sales were $9800.
The amount donated is $588.
We want to know what percent of 9800 is 588.
Let's make an equation.
what percent of 9800 is 588
x/100 • 9800 = 588
Divide by 9800.
x/100 = 0.06
Multiply by 100.
x = 6
They donated 6%.
Hope this helps!
Which four numbers will complete this addition puzzle?
Answer:
top 8, middle 7, 16, bottom 13
The formula for the area of the shaded region on the diagram is: Area of the circle - Area of the square The area of the circle is 76.8 cm2 rounded to 1 decimal place. The area of the square is 12.7 cm2 truncated to 1 decimal place. Write the error interval for the area, a , of the shaded region in the form m < a < n .
The error interval for the area is 64.2< a < 63.93
What is error interval?Error intervals are the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated.
Given:
Area of circle = 76.9 cm²
Area of square = 12.7 cm²
Now, 1 decimal point
Area of circle,
= 76.9+0.05 and = 76.9-0.05
= 76.95 and = 76.85
Area of square,
= 12.7-0.05 and = 12.7+-0.05
=12.65 and = 12.75
Area of shaded region in the form m < a < n .
m= 76.95-12.75
m= 64.2
n= 76.85-12.65
n= 63.93
Area of shaded region is 64.2< a < 63.93.
Learn more about error interval here:
https://brainly.com/question/21335140
#SPJ1
Please please help me!!!!
Answer:
Q = (9, 4 )
Step-by-step explanation:
Use the midpoint formula and equate to the coordinates of the midpoint.
M = ([tex]\frac{x_{1}+x_{2} }{2}[/tex] ) , ([tex]\frac{y_{1}+y_{2} }{2}[/tex] )
let the coordinates of Q = (x, y ) , R = (- 7, 0 ) , then
[tex]\frac{x-7}{2}[/tex] = 1 ( multiply both sides by 2 )
x - 7 = 2 ( add 7 to both sides )
x = 9
and
[tex]\frac{y+0}{2}[/tex] = 2 ( multiply both sides by 2 )
y = 4
Thus Q = (9, 4 )
