Answer:
Scale factor = 4
Step-by-step explanation:
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of preimage or original}}[/tex]
Since, S is being dilated with a scale factor to form T,
So, the figure S is the preimage and figure T will be the image,
Length of one side of image T = 8
Length of one side of preimage = 2
Therefore, Scale factor = [tex]\frac{8}{2}[/tex]
= 4
Scale factor by which figure S has been dilated to form figure T is 4.
can someone please help me
help me someone:((!!!!!
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Answer:
Hope this helps!
Step-by-step explanation:
2L + 3S = 83
4L + 8S = 197
Multiplies the top equation by -2.
-4L + -6S = -166
4l + 8S = 197
Adding them together...
2S = 31
S = 31/2 = 15.5
Plugging into the first equation:
2L + 3S = 83
2L + 3(15.5) = 83
2L + 46.5 = 83
2L = 83 - 46.5
2L = 36.5
L = 36.5/2 = 18.25
check:
2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83
4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197
The Large box weighs 18.25
The small box weighs 15.5
Complete the equation of the line through (1,4) (2,2)
The slope- intercept form of the equation of a line is : y = mx + b
The slope is represented by m and the y-intercept is represented by b.
You can use the coordinates of the two points to find the slope:
m = (y 2 - y 1)
(x 2 - x 1)
For this problem:
m = (4 - 2 ) = 2
(1 - 2) -1
To determine the y-intercept , substitute the coordinates of either point into the slope-intercept equation using a slope of -2:
y = mx + b
y = -2 • x + b
Using (1,4):
4 = -2 • 1 + b
4 = -2 + b
b = 6
The equation of the line will be : y = -2•x + 6
what is the ratio of the area of the larger pizza to the area of the smaller pizza ? choices are 2,3,4, and 9 .
Find the value of x.
30
30
Answer:
30
.......................
The lengths of the side of a triangle are 14 inches, 10 inches , and 8 inches. If the length of the shortest side of a similar triangle if 4 inches, the length of the longest side of the similar triangle is
Answer:
The longest length of the similar triangle is 7 inches
Step-by-step explanation:
If two triangles are similar, the ratio of their sides are equal
We shall be working the shortest and longest side of both
What we have here will be that;
The shortest length/ the longest length ratio in both triangles will be the same
Let the longest side of the similar triangle be x
8/14 = 4/x
8x = 4 * 14
x = (4 * 14)/8
x = 7 inches
Help pls I have no clue how
Answer:
Step-by-step explanation:
By using regression line calculator,
Equation of the regression line from the data given,
y = -0.38993x + 26.95184
Here, y = weekly hours of sport
x = Time to run
For x = 50 minutes,
y = -0.38993(50) + 26.95184
= 7.45534
≈ 8
Since, slope of the given regression line is negative, correlation will be negative (n).
The areas of similar triangles ΔABC and ΔDEF are equal. If the longest side of ΔDEF measures 25 units, what is the length of the longest side of ΔABC?
A.
5 units
B.
25 units
C.
75 units
D.
50 units
Answer:
It is 25 units
Step-by-step explanation:
The triangles are equal
Answer:
25 Units.
Step-by-step explanation:
The Triangles are equal and have the same area. Therefore, the longest side of ΔDEF and ΔABC will measure the same.
please help me! here’s a picture
Answer:
I would think the answer is 28?
im not really that sure
Tammy's allowance is $5.00. She did extra chores around the house and earned an
extra $1.75. She goes to the store with her older sister and buys an ice cream for
$2.25. On her way home she finds $1.00. How much money does Tammy have?
Answer:
5.50 this should help :p
I don’t know how to do this,someone please help,and explain maybe
Answer:
I can explain. look at variables (letters) ..7,2,3 in back of numbers. With this numbers it's an x. In front of 7x its a - or +. It tells you to either subtract or add...7x°-2x°+2x°-3. Start with 7x minus 2°, minus 2°, plus two & at end subtract 3
A new book store is selling new books for $16 a book and used books for $4.75 a book. A customer wants to purchase two new books and X used books what equation can be used to find y the total cost of all books the customer wants to buy?
16 + 16 = 32
X * 4.75 = ?
32 + X = Y
You would add 16 plus 16 because there are TWO new books being bought, you multiply however many used books there are (X) by 4.5 then add that answer to 16+16, solve that, and you have your answer = Y
Hope this helps ^-^
Combine as indicated by the signs. 2x/y2-x2 - x/y-x
Answer: (2x - xy - x^2) / (y + x)(y - x)
Step-by-step explanation: *graded correct
First simplify: 2x / y^2 - x^2 = 2x / (y+x)(y-x)
Next subtract x / y-x: 2x / (y+x)(y-x) - x / y-x
Get: x(2-y-x) / (y+x)(y-x)
Simplify numerator : (2x - xy - x^2) / (y+x)(y-x)
Identify the correct Triangle Congruence Theorem that describes the figure below.
A. SSS
B. SAS
C. AAS
D. HL
E. ASA
[tex]\tt{PQ=TS }[/tex]
[tex]\tt{ PW=TW }[/tex]
[tex]\tt{ QW=SW }[/tex]
SO,
it is S-S-S
side-side-side
Four out of six dogs weigh less than 50 pounds. What is the decimal equivalent for the number of dogs weighing under 50 pounds?
Answer:
0.667
Step-by-step explanation:
why wont it let me say anything
Answer:
409
Step-by-step explanation:
786 + 32 = 818
818 ÷ 2 = 409
Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1
Answer:
y = 3
Explanation:
Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.
We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.
We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.
Answer:
w
Step-by-step explanation:
w
The graph of a function f is shown below. Use the zeros and the turning points of the graph to find the rule for f.
A.
f(x) = x4 − 8x2 + 16
B.f(x) = −x4 + 5x2 − 4
C.f(x) = x3 + x2 − 4x + 4
D.f(x) = x4 − 5x2 + 4
Answer:
Answer is D
Step-by-step explanation:
Using the zeros of the graph we should have y=0 when we put x=-2, x=-1, x=1, x=2
Only the function on option D works, so the answer is D
what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answer:
answer is 12
....
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.
...
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. :-)))
The revenue for a small business is modeled by the function R(x) = 5x where represents the number of items soldThe cost function is C(x) = 10 + 2x What function represents the business's profit function P(x) = (R - C)(x) ?
Answer:
[tex]P(x) = 3x - 10[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 5x[/tex]
[tex]C(x) = 10 + 2x[/tex]
Required
Determine [tex]P(x) = (R - C)(x)[/tex]
In functions;
[tex](f - g)(x) = f(x) - g(x)[/tex]
So, we have:
[tex]P(x) = (R - C)(x)[/tex]
[tex]P(x) = R(x) - C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]P(x) = 5x - (10 + 2x)[/tex]
Open bracket
[tex]P(x) = 5x - 10 - 2x[/tex]
Collect Like Terms
[tex]P(x) = 5x - 2x- 10[/tex]
[tex]P(x) = 3x - 10[/tex]
Solve the system by using substitution show work
2x - y = 5
x = y-1
Please help, I don’t know how to solve this
Answer:
f(-2), where f= -43/2
f(-1), where f= -16
f(0), where f has no solution
f(1), where f= 10
f(2), where f= 31/2
10.5 + 3.5 /2 i need help
Answer:
12.25
Step-by-step explanation:
Remember PEMDAS!!
You would divide 3.5 to 2 first which is 1.75, then add 10.5 and 1.75 which equals 12.25.
P = ( )
E = exponents
M/D = Multiply/Divide
A/S = Add/Subtract
Answer:
10.5 + 3.5
--------------- = 7
2
Can someone help me out?
Answer:
do I solve it or what am I supposed to do
Answer:
y=6
Step-by-step explanation:
Reduce to simplest form.
-7/12 +3/8
Answer:
-5/24
Step-by-step explanation:
here u gooo :).....
Hudson needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3.25 hours and charged him $71 for parts. The total was $282.25. What was the cost of labor, per hour?
Answer:
$65/hr
Step-by-step explanation:
282.25 - 71 = 211.25
211.25 / 3.25
Answer ASAP this practice is due tomorrow
Answer:
i think it's Z = 8,4
I'm not sure
Calculator
The graph of a proportional relationship contains the point (-12, 3)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y =
Tor
Answer:
[tex]\displaystyle y=-\frac{1}{4}\ x[/tex]
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
The value of k can be calculated if we know a point (x,y) that belongs to the graph. Substituting the point (-12,3):
3 = -12k
Solving for k:
[tex]k=-\frac{3}{12}=-\frac{1}{4}[/tex]
Thus, the corresponding equation is:
[tex]\boxed{\displaystyle y=-\frac{1}{4}\ x}[/tex]
What is the slope of the line that passes through (4, 12) and (5, 16)?
Answer:
8/10
Step-by-step explanation:
The rise on the y axis is eight and the run on the x axis is 10
(Hope this helped)
What's the square root of 689976??? Please help