Deborah is making plans for a new room in her house that will have an area of
500 ft2. The image below shows a scale model of the room. What is the scale
being used in the model?
5 in
4 in
O 1 inch = 4 feet
1 inch = 5 feet
1 inch = 3 feet
Answer:
This is so confusing
Step-by-step explanation:
where is the image?
This is number three Nd I neeed help with this I can help you with anything
Answer:
a. False
b. False
c. True
d. True
e. True
Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?
X’(1, 1), Y’(-4, 3), Z’(1, 5)
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)
Answer:
When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).
X (1,-1) --> X' (1,1)
Y (3,4) --> Y' (-4,3)
Z (5,-1) --> Z' (1,5)
The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).
Step-by-step explanation:
Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).
Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)
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can you help me pls it's only 3 question's
Answer:
1. 0.8 2. 1.25 3. 27.5
Step-by-step explanation:
Number 1 is 4/5
Number 2 is just 5/4
And I think number 3 is 22/4 which is 5.5 then times 5 which is 27.5.
Which is a true statement about angles 1 and 2? O the two angles are supplementary
the two angles are complementary
the two angles are neither complementary nor supplementary
the two angles are vertical angles
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A and B
Step-by-step explanation:
what are the steps on finding common denominators. PLEASE HELP
Step-by-step explanation:
to find a common denominator, you have to find a number that "works" with every other number.
for example, say you have
2/4 and 8/12
First you need to find the common factor between 4 and 12, so list all your fours
4, 8, 12, 16, 20
Now list all your twelves
12, 24, 36, 48, 60
to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.
So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.
now think about what you would multiply 4 by, to get to 12. The answer is
4 x 3 = 12
to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6
now you have your answer,
2/4 and 8/12 turns into
6/12 and 8/12
and that's how you find it, let me know if you have questions :)
Where would it go I know how to do X axis but not Y
Answer: (-1,2) and (2,2) Make sure to see explanation!
Step-by-step explanation:
Well you need to remember the Y reflection rule!
To reflect over the Y axis you must do this:
Take the points in this case
(1,2) and (-2,2)
And you need to use the equation (x,y) --> (-x,y)
So the new points you NEED TO GRAPH ARE
(-1,2) and (2,2)
Hope this helped!
Answer: (-1,2) and (2,2)
Step-by-step explanation:
reflection over the y axis, take the point (x,y) and change the sign of the X-value (-x,y). When You reflect over the y-axis, the y remains the same.
point (1,2) would become (-1,2) reflected over the Y
and (-2,2) would become (2,2)
Given: 7X/2 < 5. Choose the solution set. {x | x < 10/7} {x | x >10/7 } {x | x < 35/2} {x | x > 35/2}
Answer:
{x | x < 10/7}
Step-by-step explanation:
In ΔVWX, w = 680 cm, ∠X=80° and ∠V=32°. Find the area of ΔVWX, to the nearest 10th of a square centimeter
Answer:
56
Step-by-step explanation:
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
The area of the triangle.
= 1/2 x base x height
The area of the triangle is 105760 cm².
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
In ΔVWX.
w = 680 cm
∠X=80°
∠V=32°
This means,
∠W + ∠X + ∠V = 180
∠W = 180 - 112
∠W = 68°
This means,
68° = 680
1° = 10
Now,
∠X=80°
x = 800 cm
∠V=32°
v = 320 cm
Now,
V
/ | \
(x) / | \ (w)
/ | \
W M X
(v)
680² = VM² + (320/2)²
462400 = VM² + 25600
VM² = 436800
VM = 661 cm
Thus,
The area of the triangle.
= 1/2 x base x height
= 1/2 x 320 x 661
= 160 x 661
= 105760 cm²
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What is 6 less than a number t is 7?
Answer:
t-6=7
Step-by-step explanation:
Answer:
6-t=7
Step-by-step explanation:
Thomas lives more than 0.55 km and less than 0.75 km from his school.
Thomas lives from his school?
A. 0.06 km
B 0.50 km
c. 0.60 km
D. 1.30 km
Which choice could be the distance Thomas lives from his school?
if two cards are chosen from a pack of 52 play cards at a time with replacement , what is the probability of getting one heart?
Let f(x)=−|x−3|+3 and g(x)=1/2x−3. Graph the functions in the same coordinate plane.
What are the solutions to f(x)=g(x)?
Enter your answers in the boxes from smallest to largest.
x=_ and x=_
Answer:
x = 6 and -6
Step-by-step explanation:
Answer:
the answer is: 6 and -6. hope this helps!!
Step-by-step explanation:
What is the resulting integral?
Answer:
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx = \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Antiderivatives - Integrals
Integration Constant C
U-Substitution
U-SolveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx[/tex]
Step 2: Identify Variables
Find the variables u-solve using u-substitution.
U-Substitution
[tex]\displaystyle u = 1 + \sqrt{x}[/tex]
[tex]\displaystyle du = \frac{1}{2\sqrt{x}}dx[/tex]
U-Solve
[tex]\displaystyle x = (u - 1)^2[/tex]
[tex]\displaystyle dx = 2\sqrt{x}du[/tex]
Step 3: Integration
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{x})^5}} \, dx[/tex][Integral] U-Solve: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{(u - 1)^2})^5}} \, 2\sqrt{x}du[/tex][Integral] Simplify: [tex]\displaystyle 2\int {\frac{2\sqrt{x}}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int {\frac{\sqrt{x}}{u^5}} \, du[/tex][Integral] U-Solve: [tex]\displaystyle 4\int {\frac{\sqrt{(u - 1)^2}}{u^5}} \, du[/tex][Integral] Simplify: [tex]\displaystyle 4\int {\frac{u - 1}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle 4[\int {\frac{u}{u^5}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Simplify: [tex]\displaystyle 4[\int {\frac{1}{u^4}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\int {u^{-4}} \, du - \int {u^{-5}} \, du][/tex][Integrals] Reverse Power Rule: [tex]\displaystyle 4[\frac{u^{-3}}{-3} - \frac{u^{-4}}{-4}] + C[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\frac{-1}{3u^3} + \frac{1}{4u^4}] + C[/tex][Brackets] Multiply: [tex]\displaystyle \frac{-4}{3u^3} + \frac{4}{4u^4} + C[/tex]Back-Substitute: [tex]\displaystyle \frac{-4}{3(1 + \sqrt{x})^3} + \frac{4}{4(1 + \sqrt{x})^4} + C[/tex]Combine: [tex]\displaystyle \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
Match each equation with its graph. y = 5x + 2, y = 3x + 3, y = 2x + 3
Answer:
Green line: y = 5x + 2
Red line: y = 3x + 3
Purple line: y = 2x + 3
Step-by-step explanation:
1) All the given equations are in slope-intercept form, or [tex]y = mx + b[/tex] format. When an equation is written in this form, the constant on the right side of the equation, or the [tex]b[/tex], represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.
Knowing this, the y-intercept of [tex]y = 5x + 2[/tex] must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of [tex]y = 5x + 2[/tex] is the green one.
2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of [tex]m[/tex], or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of [tex]y = 3x +3[/tex] is 3 and the slope of [tex]y = 2x + 3[/tex] is 2.
Now, find the slope of one of the lines in the graphs. To do so, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of two points on the chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):
[tex]m = \frac{(0)-(3)}{(-1)-(0)} \\m = \frac{0-3}{-1-0}\\m = \frac{-3}{-1} \\m = 3[/tex]
So, the slope of the red line is 3. Its equation must be [tex]y = 3x + 3[/tex] since it has the matching slope. By process of elimination, the purple line must have the equation of [tex]y = 2x + 3[/tex].
The Matching is:
Green line: y = 5x + 2Red line: y = 3x + 3Purple line: y = 2x + 3What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We know the slope- intercept form
y= mx+ b
where m is the slope.
For y= 5x+ 2 the slope is 5.
and, for y= 3x+ 3 the slope is 3.
and, for y= 2x+ 3 the slope is 2.
For Graph 1, the slope is 5/1= 5
and, For Graph 2, the slope is 6/2= 3
and, For Graph 3, the slope is 6/3 = 2
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plz help. I Need help with it
Answer:
O that easy just flip the sign for example - becomes + becomes-
this is an is simple trick I learn hope it helps you.
Step-by-step explanation:
so k goes to -3 j goes to -2
Maddison wants to buy a guitar she starts saving $35 each month witch equation represents maddisons savings (s) after n months
Answer:
s=$35n
Step-by-step explanation:
have fun w/ this (also can I get brainiest?)
Slope -7 and y-intercept (0,9)
Answer:
y = -7x + 9
Step-by-step explanation:
What is 70000% + 8100000
Answer:
8100700
Step-by-step explanation:
I used a calculator
Could you pls mark me brainliest I only need one more
Answer:
8100700
hop i helped look at my drawing
Step-by-step explanation:
Identifica el cuadrante en el cual se encuentra el ángulo 2.200
Answer:your
Step-by-step explanation:
mom
Which equation describes the function in the table below?
Answer:
A
Step-by-step explanation:
So, first we have to eliminate answers, let us check A first. If we simplify this equation, it's basically saying Y is equal to 1.3 times X plus 10. So, 0 x 1.3 = 0 plus 10 = 10. Now we check the rest of the table. 5 x 1.3 = 6.5 + 10 = 16.5. 10 x 1.3 + 10 = 23. 15 x 1.3 + 10 = 29.5, and 20 x 1.3 = 26 + 10= 36. The math matches with the table so we're done.
Solve the following system of equations algebraically:
x2 + y2 = 20
2y = x
Answer:
x = 5
Step-by-step explanation:
x2 + y2 = 20
xy = 20 ÷ 2 ÷2
= 10 ÷ 2
x = 5
i dont know whether this is right
but hope it helps n it works
Can somebody help me? I need help ;-;...
Answer:
Bottom left
Step-by-step explanation:
Dots are on the inside and outside of the line as well as being on the line
You are driving 55mph Or you are driving 50mph
Answer: You are driving 50mph.
Step-by-step explanation: Im not sure what your question is, but could you next time, maybe specify? Thank you. Have a good one. Stay safe!!
Answer:50
Step-by-step explanation:
someone plz help no links stg
Find the area of the polygon.
16 cm
10 cm
12 cm
24 cm
Answer:
the area of the polygon is 240cm^2
If another sample of size 100 is taken, what is the probability that its sample mean will
be greater than 2.56 in?
Answer:
I don't know the answer to this but
Suppose we draw a sample of size n=16 from this population and want to know how likely we are to see a sample average greater than 22, that is P( > 22)? So the probability that the sample mean will be >22 is the probability that Z is > 1.6 We use the Z table to determine this: P( > 22) = P(Z > 1.6) = 0.0548.
Step-by-step explanation:
Which of the following best describes the difference between simple and compound interest?
Simple interest is easier to calculate than compound interest.
Simple interest earns interest on the previous interest earned only.
Compound interest earns interest on the principal plus any previous interest earned.
Compound interest earns interest on the principal only.
Answer:
Compound interest earns interest on the principal plus any previous interest earned.
Step-by-step explanation:
compound interest gets its name because the interest keeps on 'compounding' which means earning interest on interest
The correct best describes the difference between simple and compound interest is,
⇒ Compound interest earns interest on the principal plus any previous interest earned.
Option 3 is true.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
We have to given that;
To defined best describes the difference between simple and compound interest.
Now, We know that;
Compound interest pays interest on your previous balance plus your previous earned interest; simple interest pays interest only on your original balance.
Hence, The correct best describes the difference between simple and compound interest is,
⇒ Compound interest earns interest on the principal plus any previous interest earned.
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PLS ANSWER 10 POINTS!!
Answer:
the answer is 58°
Step-by-step explanation:
90 - 32 = 58