Answer:
C) 16 units
Step-by-step explanation:
The length of a leg of the pre-image is 16 units
What is Dilation?The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger. The initial figure is referred to as the pre-image, and the new figure that results from dilatation is known as the image. Dilation comes in two varieties:
Increase in an object's size is referred to as expansion.Contraction is the reduction of an object's size.Given:
Δ RST was dilated by a scale factor of 1/2
and, Δ R'S'T' is an isosceles triangle with measurement 8 units.
As, Pre-image = measure of pre-image x scale factor
So, the measure of pre-image = 8 ÷ 1/2
= 8 x 2/1
= 16 units.
Hence, the length of a leg of the pre-image is 16 units
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A portion of a city map is shown in the figure at the right. If you walk along Maple Street between 2nd Street and Elm Grove Lane, how far do you walk? Round your answer to the nearest tenth of a yard.
The length is 259.4 yd.
We have to find the length of AC.
using sin rule,
we have
[tex]\frac{c }{Sin C} = \frac{b}{sinB}[/tex]
[tex]\frac{210}{sin 54} = \frac{b}{sin 88}[/tex]
[tex]b =\frac{210 sin 88}{sin 54}[/tex]
[tex]b = 259. 4161\\b = 259.4[/tex]
The length is 259.4 yd.
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Question
Which equation is in slope-intercept form and represents a line with slope 3 through the point (9, –4)?
y=3x+21
y=3x-31
-3x+y=-31
-3x+y=21
The equation in slope-intercept form representing a line with a slope of 3 and passing through the point (9, -4) is y = 3x - 31. This is found by substituting the point coordinates into the slope-intercept equation and solving for the y-intercept.
The question involves finding an equation in slope-intercept form that represents a line with a given slope that passes through a specific point. Slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept. Given the slope of 3 and the point (9,
–4), we can find the correct equation by substituting into the slope-intercept form and solving for b.
The correct equation must satisfy the condition that when x is 9, y is –4. Let's use this condition to solve for b:
y = mx + b
–4 = 3(9) + b
–4 = 27 + b
b = –4 - 27
b = –31
Therefore, the equation of the line is y = 3x – 31. This is the only equation among the choices that is in slope-intercept form and satisfies the given conditions.
5. given no other restrictions, what are the domain and range of the following funtction? f(x)=x^2-2x+2 if your in connexus and have done the algebra 2 final could you give me the awnsers
An expression is shown below:
3x3y + 15xy − 9x2y − 45y
Part A: Rewrite the expression so that the GCF is factored completely. Show the steps of your work. (4 points)
Part B: Rewrite the expression completely factored. Show the steps of your work.
1.Write and exponent . (-4)(-4)
is it -4^2 i am so bad at this and i cannot wrap my head around it , can someone show me how to do it,
guys this Question is about system of equation word problem
please assist me !
A square lawn has area 512 ft squared .ft. a sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. what is the radius of the circle?
Answer:
Radius of circle = 16 ft
Step-by-step explanation:
Refer figure for the arrangement.
Area of square = 512 ft²
Side of square [tex]=\sqrt{512}=22.63ft[/tex]
From figure see that
Diagonal of square = Diameter of circle
[tex]\texttt{Diameter of circle}=\sqrt{22.63^2+22.63^2}=32ft[/tex]
Radius of circle [tex]=\frac{32}{2}=16ft[/tex]
The solution to system of inequalities is often an infinite set of points? TRUE OR FALSE :
The solution to a system of inequalities can be represented on a graph by shading the region on the graph? TRUE OR FALSE :
When you graph multiple inequalities on the same graph, the region is where the shading overlaps are the solution region? TRUE OR FALSE :
If the inequality is in the slope-intercept form it is easy to shade the solution region. For example, if it is y< ….. Will the shading be below the line? TRUE OR FALSE :
Answer:
all of them are true
Help me with this question please
Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5). (12, 18)
[tex]\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ H(5,\ 13)\ \text{and}\ K(7,\ 5).\ \text{Substitute:}\\\\x=\dfrac{5+7}{2}=\dfrac{12}{2}=6\\\\y=\dfrac{13+5}{2}=\dfrac{18}{2}=9\\\\Answer:\ \boxed{(6,\ 9)}[/tex]
helppppppppppppppppppppppppp
You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar and 50% water. How many cups of white vinegar do you need to add to the mixture?
To change a mixture that is 10% vinegar and 90% water to a 50-50 mixture, one would have to add 8 more cups of vinegar. This is because there are already 9 cups of water in the 10 cup solution, so adding 8 more cups of vinegar will total to 9 cups of vinegar and 9 cups of water.
Explanation:This question can be tackled using a simple mathematical approach. You already have a mixture that is 10% vinegar and 90% water, which means you have 1 cup of vinegar in your 10 cups of solution (because 10% of 10 cups is 1 cup). To get a 50-50 mixture, you also need the amount of water to equal the amount of vinegar. Since you already have 9 cups of water in the solution, you need to add 8 more cups of vinegar to balance it out and get a 50% solution. So you'll need to add 8 cups of white vinegar to your mixture in order to attain a balance of 50% vinegar and 50% water.
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Joe plotted the points (2, 0.5), (1, 1), and (0.5, 2), and claimed that these points represent an inverse variation relationship. Which statement supports his claim?
xy = 1 for all points.
xy = for all points.
The graph of these points will be linear.
Inverse variation states that as one quantity increases, the other quantity also increases.
Answer:
xy = 1 for all points.
Step-by-step explanation:
“The sum of 3 consecutive odd numbers is 69.” What is the third number in this sequence?
Can someone help me with this please ?
Long division
3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2
If the polynomial x^5 − 10^5 can be split as the product of the polynomials x − 10 and a, what is a?
a) x^4 - 99,990
b) x^4+10x^3+100x^2+1000x -10,000
c) x^4+10x^3+100x^2+1,000x+10,000
d)x^4+10x^3+100x^2+1000x + 10000/x-10
e)x^4 - 99990/x-10
please help !,
The missing number in the arithmetic sequence 60,51 blank , 33 is
I need help making a linear equation for this scenario?
"You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23 cents per minute, while calls to France cost 21 cents per minute."
"Write a linear equation in two variables to represent the number of minutes you can use to call those two locations.",
PLEASE HELP!!! i have no idea what i’m doing!!! your help would be GREATLY appreciated!!!
If you pick a gumball at random, put it back, and then pick another gumball at random, what is the probability of picking a blue gumball then picking a yellow gumball?
Answer:
its 1/50
Step-by-step explanation:
Examine the system of equations.
−3x + y = 4
−9x + 5y = −1
What is the solution?
( _ , _ )
The value of x is -3.5 and y is 6.5 for the given equations.
What is an equation?An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equations will be solved as:-
−3x + y = 4
−9x + 5y = −1
Multiply the first equation by 3 and subtract the second equation.
−15x + 5y = 20
9x - 5y = -1
--------------------
-6x = 21
x = -3.5
Put x = -3.5 into first equation.
(-3x3.5) + y = 4
y = 6.5
Hence, the values are -3.5 and 6.5.
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You flip 2 coins.what is the probability that one coin will land on heads and one coin will land on tails?createa sample space of outcomes.
"which answer is not a theorem or postulate used to prove triangles' similarity?"
in simple words it is SSA
Convert this identity to one using sine term(s) only.
1-2cos(r)^2
Frankie kept track of the total number of goals scored during the season by his soccer team. Frankie's graph shows that after two games his team had scored a total of 5 goals. After three games the team had scored a total of 6 goals. After which game had the team scored a total of 14 goals? A. 4 B. 6 C. 8 D. 9
The answer is D. i just took the test!
Evaluate x divided by 80 for x = 8/9. The choices are
A.71 1/9
B.1/9
C.9/640
D.90
@bohotness @chosenmatt @KamiBug @answermyquestions
I think the answer is either B or D,
The expression x divided by 80 for x = 8/9 is equal to 1/90.
Option D is the correct answer.
We have,
To evaluate x divided by 80 for x = 8/9, we substitute the value of x into the expression and perform the division:
(x) / 80 = (8/9) / 80
To divide fractions, we multiply the numerator by the reciprocal of the denominator:
(8/9) / 80 = (8/9) x (1/80)
Next, we simplify the multiplication:
(8/9) x (1/80) = 8 / (9 x 80) = 8 / 720
Simplifying the fraction further:
8 / 720 = 1 / 90
Therefore,
x divided by 80 for x = 8/9 is equal to 1/90.
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A school spent $900 on new desk for the start of the year. that amount included a 6% sales tax . what was the original price of the desk. before tax
Helpppppp. I’ll give brainlist
Could anyone assist me here?
The table shows ordered pairs for a polynomial function, f.
x f(x)f(x)
−2−2 30
−1−1 0
0 −2−2
1 0
2 30
3 160
4 510
What is the degree of f?,
Answer:
The degree of the polynomial function will be 4.
Step-by-step explanation:
The table shows the ordered pairs for a polynomial function, f.
[tex]x[/tex] -2 -1 0 1 2 3 4
[tex]f(x)[/tex] 30 0 -2 0 30 160 510
Now, to get the degree of the polynomial, it is required to get the difference of the value of function. When the value of the function becomes equal, then the number of step or difference will be its degree.
So, the first difference of the function will be,
[tex]0-30=-30\\ -2-0=-2\\0-(-2)=2\\30-0=30\\160-30=130\\510-160=350[/tex]
Now, the second difference of the function will be,
[tex]-2-(-30)=28\\2-(-2)=4\\30-2=28\\130-30=100\\350-120=220[/tex]
Now, the third difference of the function will be,
[tex]4-28=-24\\28-4=24\\100-28=72\\220-100=120[/tex]
Now, the fourth difference of the function will be,
[tex]24-(-24)=48\\72-24=48\\120-72=48[/tex]
So, the fourth difference of the function is equal and hence, the degree of the polynomial function will be 4.
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