Answer: the scale factor is 1/2
And the missing side is 5.5
Step-by-step explanation:
The larger triangle is twice the smaller triangle
The scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
It is given that:
The two rectangles are shown in the picture:
Part A what is the scale factor used when going from the larger rectangle to the smaller one?
The scale factor = 8/16 = 1/2
The length of the missings side = 1/2(11) = 5.5
Thus, the scale factor is 1/2 and the length of the missings side is 5.5 after using the concept of the scale factor.
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Write an equation that represents the line
Answer:
y = -2x - 3
Step-by-step explanation:
First, find slope (m) of the line using two points (0, -3) and (1, -5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 -(-3)}{1 - 0} = \frac{-2}{1} = -2 [/tex]
The line intercepts the y-axis at y = -3. Therefore the y-intercept (b) of the line = -3.
To write the equation that represents the line, substitute m = -2, and b = -3 into y = mx + b.
Thus:
y = -2x + (-3)
y = -2x - 3
The definition of similarity in terms of similarity transformations states that two figures are
similar if and only if there is a compositon of rigid motion and dilation that maps one figure to
the other. Suppose triangle ABC~triangle DEF. Explain how this definiton ensures:
1. The equality of all corresponding pairs of angles.
2. The proportionality of all corresponding pairs of sides.
PLEASE HELP
20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?
Answer:
I believe that her goal is 20 pages because 75% of 20 is 15.
Step-by-step explanation:
Write the equation of the line that goes through
the points (-3, -2) and (4, 5).
Find the slope m.
Use the point-slope formula.
Solve for y.
Can anyone help me with this? If u are going to answer please know what u are doing
Answer:
x- intercept (5, 0)
y- intercept (0, 2)
Step-by-step explanation:
x- intercept occurs at y= 0.
To find the x- intercept of the linear equation, substitute y= 0 into the equation.
4x +10y= 20
When y= 0,
4x +10(0)= 20
4x= 20
x= 20 ÷4 (÷4 on both sides)
x= 5
Thus, the x-intercept is (5, 0).
y-intercept occurs at x= 0.
4x +10y= 20
When x= 0,
4(0) +10y= 20
10y= 20
y= 20 ÷10 (÷10 on both sides)
y= 2
Thus, the y-intercept is (0, 2).
You buy a winter jacket on sale for 40% off. You pay $54 for the jacket. What was the original cost? Show your work.
Answer:
original cost is 135$
Step-by-step explanation:
100%×54$÷40%= 135
i really need help pls help
can someone please help :/? the question is in the picture
Answer:
I'm pretty sure the answer is B
Round 48.612 to the nearest whole number.
Which point is a solution to the given system of inequalities
The points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
To determine which point is in the solution set of the given system of inequalities, we need to check each point to see if it satisfies both inequalities.
A) (2, 0)
Plugging in the values of x=2 and y=0 into the inequalities, we get:
2+0 ≥ 2 which is true, and
4(2)+0 ≥ -1 which is true.
Therefore, point A (2, 0) is in the solution set of the given system of inequalities.
B) (0, 2)
Plugging in the values of x=0 and y=2 into the inequalities, we get:
0+2 ≥ 2 which is true, and
4(0)+2 ≥ -1 which is true.
Therefore, point B (0, 2) is in the solution set of the given system of inequalities.
C) (0, 3)
Plugging in the values of x=0 and y=3 into the inequalities, we get:
0+3 ≥ 2 which is true, and
4(0)+3 ≥ -1 which is true.
Therefore, point C (0, 3) is in the solution set of the given system of inequalities.
D) (0, -1)
Plugging in the values of x=0 and y=-1 into the inequalities, we get:
0+(-1) ≥ 2 which is false, and
4(0)+(-1) ≥ -1 which is false.
Therefore, point D (0, -1) is not in the solution set of the given system of inequalities.
Hence, the points that are in the solution set of the given system of inequalities are (2, 0), (0, 2), and (0, 3).
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Which point is in the solution set of the given system of inequalities?
x+y≥2
4x+y≥-1
A-(2, 0)
B-(0, 2)
C-(0, 3)
D-(0, –1)
Please give me the correct answer
Answer:
8 x 10 ^-8
Step-by-step explanation:
Answer:
8x10^-8
Step-by-step explanation:
Another name for plane X is plane ?
X = 10 and y = -2, what is the value of the expression
9x-3y+8xy-3
A -61
B -67
C 241
D-79
please help i’m lost on this question!!!
Answer:
maybe the first one sorry if its wrong
Step-by-step explanation:
Whats the value? 2x+2 + 2x+10 =90
Answer:
x=19.5 or 19 1/2
Step-by-step explanation:
To find what x is we need to get x on one side of the equal sign with the numbers on the other side, but first, we need to add the same variables and numbers together.
Add:
4x+12=90
Move the 12 to the other side by subtracting 12 on both sides (You use the inverse of what you want to move to the other side)
4x+12-12=90-12
4x=78
Divide:
You need to divide 4x by 4 (Since 4x is the same thing as 4*x you need the inverse of multiplication to reverse it which is division)
x=19.5 or 19 1/2 (Since 1/2 is the same thing as 0.5)
Evaluate: 10/ 12 • 2/ 3
Answer:
10/ 12 x 2/ 3 = 10/ 12 x 8/ 12 = 80/12 = 6 8/12
Pls mark brainliest, (Plz correct me if wrong)
Step-by-step explanation:
On a family road trip, Mr. Peters travels 130 miles in 2 hours. At this rate, how many miles will he travel in 30 minutes? (HINT - turn 30 minutes into 1/2 an hour or a decimal 0.5 hours)
Answer:
15 miles in 30 minutes
Step-by-step explanation:
130/2=65 miles per hour
30/2=15
20points please please help!!!!!!
Given f(x) =5 - 3x, if f(x) = -19, find x
Need help first to answer gets brainliest
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
lowest x is -1 ant farthest is 4.
Mr.smith has a maximum of $50 to spend at a museum a ticket to the museum cost $7 he can spend p dollars to buy other things at the museum which inequality can be used to find the possible values for p?
Answer:
https://brainly.com/question/11804436
Step-by-step explanation:
USE LINK!!!!
how many us dollars are there in 7 euros
Answer:
8.58
Step-by-step explanation:
Brainliest plz
i give brainlilset nxgbkj,m.d/ed
q
HELP HELP MEEEEE HELPPPPPPPPPPPPPPPPPPP
Answer:
Add your brain then get smart
Uranus is 19.2 AU. How many miles apart is Uranus from the Sun?
Answer:
Uranus distance from the sun is 1.79 billion miles.
Hope it helps :)
Step-by-step explanation:
how to answer this. help me
Answer:
fsfsgsgsgsgsgsgsgsgsgssgsgsgsgsgegeveg
Find the zeros for each function
1. f(x)= x^3 + 12x^2 + 21x + 10
2. f(x) = x^4 + x^3 - 11x^2 - 9x + 18
9514 1404 393
Answer:
zeros are -10, and -1 (multiplicity 2)zeros are {-3, -2, 1, 3}Step-by-step explanation:
For higher-degree polynomials I find it extremely useful to use a graphing calculator to find the zeros.
The usual approaches are ...
use the rational root theoremtry values of x=±1narrow the search using Descartes' rule of signsestimate maximum or minimum root values__
1. Rational roots will be factors of 10, so ±1, ±2, ±5, or ±10. The signs are all positive, so there are no positive real roots. The sum of odd-degree coefficients is the same as the sum of even-degree coefficients, so -1 is one of the roots. Removing that using synthetic division gives you ...
f(x) = (x +1)(x^2 +11 +10)
The quadratic (more or less obviously) factors as (x+1)(x+10), so the complete factorization is ...
f(x) = (x +1)^2(x +10)
and the zeros are {-10, -1, -1}.
__
2. Rational roots will be factors of 18, so will be ±1, ±2, ±3, ±6, ±9, ±18. The sum of coefficients is 0, so x=1 is a root. The rule of signs tells you that there are 2 positive real roots, so there is one more positive real root. Synthetic division tells you the factoring so far is ...
f(x) = (x -1)(x^3 +2x^2 -9x -18)
We note that the first two coefficients have the same ratio as the last two, so we can factor by grouping.
x^3 +2x^2 -9x -18 = x^2(x +2) -9(x +2) = (x^2 -9)(x +2)
Factoring the difference of squares gives you the complete factorization, hence all of the roots. (The zeros are the values of x that make the factors zero.)
f(x) = (x -1)(x +2)(x -3)(x +3)
The zeros are {-3, -2, 1, 3}.
The average attendance at a local high school's football games went down from 1800 people in 2003 to
500 people in 2004. What was the percent decrease in attendance at the football games?
Step-by-step explanation:
%decrease = 1800 - 500 * 100
__________
1800
%decrease = 1300/1800 * 100
% decrease = 72.2%
Average attendance in 2003 = 1800
Average attendance in 2004 = 500
Decrease in attendance = 1800 - 500 = 1300
Decrease percentage in attendance
[tex] = \frac{1300}{1800} \times 100[/tex]
[tex] = \frac{13}{18} \times 100[/tex]
[tex] = \frac{13}{9} \times 50[/tex]
=72.22
4. After taking 20% off the original price, Amber paid $35 for her dress. What was the original price? A. $63.75 B. $54.25 O C. $49.50 D. $43.75
Answer: D. $43.75
Step-by-step explanation:
1. Identify the potential problem(s) involved with generating or collecting valid data.
A. Cost
B. Bias
C. Error
D. Access to data
E. All of the above
F. None of the above
2. What problem does hypothesis testing attempt to manage?
A. Confirmation bias
B. Unconscious bias
C. Random sampling error
D. Coverage error
E. All of the above
F. None of the above
Answer:
1. E. All of the above
2. A. Confirmation bias
Step-by-step explanation:
Data is collected for different reasons by various individuals and groups. Collecting data consumes time and can be very costly. In most cases, human error can lead to error in the dataset collected and bias in the information given.
Hypothesis testing is the theory or process of comparing a hypothesis with a null hypothesis. The null hypothesis is rejected only if the probability of the fall below the specified level of significance, thereby accepting the hypothesis which is said to be in the level of significance.