Answer:
a) 3x + ky = 8
ky = 8 - 3x
x – 2ky = 5
x - 2(8 - 3x) = 5
x - 16 + 6x = 5
7x = 21
x = 3 (shown)
b) x-2ky = 5
sub x = 3, y = 1/2
3-2k(1/2) = 5
-2k = 2
k = -1
What is the length of AC? B 3 ft 4 ft N O 3 ft O 4 ft O 18 ft M 6 ft O 12 ft A
please help
Answer:18 ft
Step-by-step explanation:
Got it right on edg 2021
Let $G$ be the center of equilateral triangle $XYZ.$ A dilation centered at $G$ with scale factor $-\frac{4}{3}$ is applied to triangle $XYZ,$ to obtain triangle $X'Y'Z'.$ Let $A$ be the area of the region that is contained in both triangles $XYZ$ and $X'Y'Z'.$ Find $\frac{A}{[XYZ]}.$
The area divided by XYZ is 16/9
i.e. [tex]\frac{A}{[XYZ]} = \frac{16}{9}[/tex]
The given parameters can be represented as:
[tex]r = -\frac{4}{3}[/tex] --- the ratio of dilation
The area of the second triangle is as follows:
[tex]A =r^2 * \triangle XYZ[/tex]
Make [tex]r^2[/tex] as subject
[tex]r^2 = \frac{A}{\triangle XYZ}[/tex]
Substitute value for [tex]r^2[/tex]
[tex](\frac{4}{3})^2 = \frac{A}{\triangle XYZ}[/tex]
[tex]\frac{16}{9} = \frac{A}{\triangle XYZ}[/tex]
Rewrite as:
[tex]\frac{A}{\triangle XYZ} = \frac{16}{9}[/tex]
Read more at:
https://brainly.com/question/19305981
Answer:
Step-by-step explanation:
Let each side of triangle XYZ have length s. We therefore have:
s = YZ = YQ + QR + RZ = x + 2y
Since each side of triangle X1 Y2 Z2 is 3/4 the length of the corresponding side of triangle XYZ, we have:
3/4s = X1 Z1 = X1 Q + QP + P Z1 = 2x +y.
The system of equations:
x + 2y = s
2x + y = 3/4s
Multiply the second equation by 2, then subtract the first equation.
3x = 1/2s, so x = 1/6s.
Now we have y = 3/4s-2x = 5/12s.
A/[XYZ] = [XYZ] - 3[YPQ]/[XYZ]
= {[XYZ] - 3[(25)/144] * [XYZ]} / [XYZ]
={23/48* [XYZ]} / [XYZ]
= 23/48
PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?
Answer:
D
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = - 3 , then
[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D
Find the coordinates of the midpoint for the pair of points below a) (2,5) , (8,9) b) (9,1) , (5,17)
Answer:
a) (5,7) b) (7,9)
Step-by-step explanation:
Use the formula xmidpoint= (x1+x2)/2 ymidpoint= (y1+y2)/2
a) xm= (2+8)/2=5
ym=(5+9)/2=7
b) xm=(9+5)/2=7
ym=(1+17)/2=9
PLEASE HURRY
1 Your dad asks you to go to the grocery store and buy at least 3 pounds of grapes. Write an inequality for this scenario.
Answer:
X ≥ 3
Step-by-step explanation:
Let the number of grapes you'll buy be X, you need to buy at leaF 3 pounds so:
X ≥ 3
Answered by Gauthmath
Express as -80/112 as a rational: numerator = -5
Answer:
-80\112 = -5\7
we divided both numbers by 16
how do i find perimeter and area of this triangle?
Answer:
u should use a ruler and multiplied
Step-by-step explanation:
I dont know the step by step sorry
help me pleaseeeee!!!
Answer: A
Step-by-step explanation:
Using the distributive property, for the denominators, you get x^2+4x-5x-20. Combining like terms, 4x-5x is -1x. So x^2-x-20. -1x is the equivalent to -x because -1*x is -x. There is only one solution with this denominator, A. So there’s no need to figure out the numerator.
PLEASER HELP WILL GIVE BRAINLIEST!
Answer:
$250
Step-by-step explanation:
the class width (just choose one of the rows, it could be the same) =>for example:the first row = $(749-500+1) = $250
Someone please help me solve this
1.4
2.3
3.7
solution 1
2+2+=4
solution 2
3
8x+4=3(x-1) +7 solve
Answer:
x = 0
Step-by-step explanation:
8x + 4 = 3(x − 1) + 7
Simplify both sides of the equation:
8x + 4 = (3)(x)+ (3)(−1) + 7
8x + 4 = 3x + (−3) +7
Combine like terms:
8x + 4 = (3x) + (−3+7)
8x + 4 = 3x + 4
Subtract 3x from both sides:
8x + 4 − 3x = 3x + 4 − 3x
5x + 4 = 4
Subtract 4 from both sides:
5x + 4 − 4 = 4 − 4
5x =0
Divide both sides by 5:
5x/5 = 0/5
x = 0
Can someone help me out plz
Answer:
Around 59.69026
Step-by-step explanation:
C = Circumference (What we are looking for)
R = 9.5yd (Radius)
C = 2(Pie [I can't find the symbol])rC = 2(Pie)9.5C ≈ 59.69026Find the missing side length in the image below
Answer:
Step-by-step explanation:
If the graph of f(x) = x^2, how will the graph be affected if it is changed to f(x) = 3r^2?
Answer:
the graph curve will goes above f(x)=x^2.f(x)=3*x^2 curve will also give higher value same value of x .
Step-by-step explanation:
Evaluate 1/243 ( base must be 1/9)
PLEASE I NEED THIS FAST!
Answer:
(1/9)^2 x 1/3
Step-by-step explanation:
1/243
=> 1 / 3 x 3 x 3 x 3 x 3
=> 1 / 9 x 9 x 3
=> (1/9)^2 x 1/3
Which ordered pair is the best estimate for the solution of this system of linear equations?
A.(-6, -2)
B.(-3, 2)
C. (4,-4)
D. (6,8)
The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 49 cars of this model is chosen and found to have a mean gas mileage of 28.4 mi/gallon. Construct a 89% confidence interval for the mean gas mileage for this car model.
Answer:
The answer is "(27.030,29.770)"
Step-by-step explanation:
[tex](\bar{x}) = 28.4[/tex]
[tex](n)= 49[/tex]
[tex](\sigma) = 6[/tex]
[tex](CI) = \bar{x}\pm z^*_{\frac{\alpha}{2}} \frac{\sigma}{\sqrt{n}}[/tex]
[tex]z^*_{\frac{\alpha}{2}}\ for \ 89\%\ confidence = 1.598 \\\\\text{Using z table }\\\\ NORM.S.INV(1-\frac{(1-0.89)}{2})[/tex]
[tex]CI = 28.4 \pm 1.598 \times \frac{6}{\sqrt{49}}=(27.030,29.770)[/tex]
so i have this problem for my credit recovery can anyone please help me Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month.
Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars.
Answer:
scatter plots are simply putting the data as a dot where it belongs based on in the situation the x-axis being balance in thousands and y axis for the change in savings account in hundreds.
Step-by-step explanation:
place a dot where each value given for each person x,y. it will look scattered.
just took the k12 test
Mahmoud earns $450 per week plus a 20% commission as a car salesman. He wants his
hourly salary to be at least $35.
The inequality that relates the number of hours to the weekly sales is:
[tex]450 + 0.20x \ge 35y[/tex]
The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales
We make use of the following representation:
[tex]x \to[/tex] weekly sales from cars.
[tex]y \to[/tex] hours worked in a week
His weekly salary is then calculated as:
Salary (S) = Earnings per week + Commission * Sales from car
So, we have:
[tex]S = 450 + 20\% * x[/tex]
Express percentage as decimal
[tex]S = 450 + 0.20* x[/tex]
[tex]S = 450 + 0.20x[/tex]
Assume he works for y hours in a week.
His hourly rate is:
[tex]Hourly = \frac{S}{y}[/tex] --- i.e. weekly salary divided by number of hours
[tex]Hourly = \frac{450 + 0.20x}{y}[/tex]
For this rate to be at least [tex]\$35[/tex], the following condition must be true
[tex]Hourly \ge 35[/tex] --- i.e. is hourly rate must be greater than or equal 35
So, we have:
[tex]\frac{450 + 0.20x}{y} \ge 35[/tex]
Multiply both sides by y
[tex]450 + 0.20x \ge 35y[/tex]
Learn more about inequality:
https://brainly.com/question/20383699
Which number best represents the slope of the graphed line?
A. -5
B. -1/5
C. 1/5
D. 5
Answer:
A. -5
Step-by-step explanation:
First of all this is a line that shows a negative slope.
Secondly, the formula for slope is rise/ run.
5 is your rise and 1 is your run, therefore: -5/1
And this can be reduced to : -5
Cedric and Insha solved the same equation using the calculations below.
Cedric’s Work
Insha’s Work
z minus 4.5 = negative 1.5. z minus 4.5 + 4.5 = negative 1.5 + 4.5. z = 3.
z minus 4.5 = negative 1.5. z minus 4.5 + (negative 4.5) = negative 1.5 + (negative 4.5). z = negative 6.
Which statement is true about their work?
The first working out is correct, z = 3
I’m very confused abt this question: Look at the pic for clarification.
Answer:
8A
Step-by-step explanation:
We are multiplying the matrix by a scalar
Each term in the first matrix is multiplied by 2
[tex]\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right][/tex]
Factor out 2
[tex]2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right][/tex]
We know that the determinant of a matrix when multiplied by a scalar is found by
det ( a A) =a^n * det (A)
The scalar in this case is 2 and n is the number of rows ( or columns) since the matrix must be square
det (2A) = 2^3 det(A) = 8A
Answer:
(A)
Step-by-step explanation:
Factor the 2 out and do 2/1=x/A
X=2A
When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 7 seconds to complete the check-out process. If it takes 32 seconds to complete a transaction, how many products are being purchased?
32 - 7 = 25/5 = 5
so, we have 5 products being purchased, since the 7 sec check-out doesn't count as product time.
hope it helps :)
Answer:
5 items
Step-by-step explanation:
32 - 7 = 25
25 / 5 = 5
This means that 5 items are being purchased.
Hope it helps c:
Help please anyone please
Welp....there's your answer
what is the decrease of a right angle pls help i suck at math NVM ITS 90
Answer: 90 degrees
Step-by-step explanation:
Given the preimage and image,find the dilation scale factor.
Answer:
The dilation scale factor is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
The image is the dilated form of its preimage if and only if the following conditions are observed:
1) [tex]K' = \alpha_{1} \cdot K[/tex]
2) [tex]T' = \alpha_{2} \cdot T[/tex]
3) [tex]P' = \alpha_{3} \cdot P[/tex]
4) [tex]J' = \alpha_{4} \cdot J[/tex]
5) [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex]
If we know that [tex]K = (2, 0)[/tex], [tex]K' = (1, 0)[/tex], [tex]T = (3, 0)[/tex], [tex]T' = (1.5,0)[/tex], [tex]P = (1, 5)[/tex], [tex]P' = (0.5, 2.5)[/tex], [tex]J = (0, 3)[/tex] and [tex]J' = (0, 1.5)[/tex], then the coefficients are, respectively:
[tex]\alpha_{1} = \frac{1}{2}[/tex], [tex]\alpha_{2} = \frac{1}{2}[/tex], [tex]\alpha_{3} = \frac{1}{2}[/tex], [tex]\alpha_{4} = \frac{1}{2}[/tex]
As [tex]\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}[/tex], we conclude that the dilation scale factor applied in the preimage is equal to [tex]\frac{1}{2}[/tex].
What is the volume of the solid? Let π=3.14
Answer:
V = 7234.56 km^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) (12)^3
V = 7234.56 km^3
Answer:
7234, 56 km³
Step-by-step explanation:
π×R³×4/3=3.14×1728×4/3=7234, 56 km³
why does an absolute value equation equal to zero only has 1 equation
Answer:
see below
Step-by-step explanation:
The reason why an absolute value equation equal to zero only has one solution
We set the absolute value equation equal to ± the solution
±0 = 0 There is only one value for ±0 which is 0, therefore there is only one solution
2. If (x+1,Y+2)=(3,4), find the value of x and y
Answer:
x = 2
y = 2
Step-by-step explanation:
since it is an equal pair,
x+1 = 3
or, x = 3 - 1
x = 2
y + 2 = 4
or, y = 4 - 2
y = 2
How do radical expressions relate to everyday life , give atleast 3 examples !!!!!
