Answer:
12.25
Step-by-step explanation:
Fill in the blank with Yes or No. Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15. 1. Is Rectangle A a scaled copy of Rectangle B? 2. Is Rectangle B a scaled copy of Rectangle A? 3. Is Rectangle A a scaled copy of Rectangle C?
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation:
Given
Rectangle A:
[tex]Length = 12; Width = 8[/tex]
Rectangle B:
[tex]Length = 15; Width = 10[/tex]
Rectangle C:
[tex]Length = 30; Width = 15[/tex]
Solving (1): Is Rectangle A a scaled copy of Rectangle B?
To do this, we simply determine the ratio of the length and width of both rectangles;
i.e.
[tex]Ratio = \frac{A}{B}[/tex]
For Length:
[tex]Ratio = \frac{12}{15}[/tex]
[tex]Ratio = 0.8[/tex]
For Width:
[tex]Ratio = \frac{8}{10}[/tex]
[tex]Ratio = 0.8[/tex]
Since both ratios are the same, then this statement is true
Solving (2): Is Rectangle B a scaled copy of Rectangle A?
This is the inverse of (1) calculated above.
Since (1) is true, then (2) is also true
3. Is Rectangle A a scaled copy of Rectangle C?
To do this, we simply determine the ratio of the length and width of both rectangles;
i.e.
[tex]Ratio = \frac{A}{C}[/tex]
For Length:
[tex]Ratio = \frac{12}{30}[/tex]
[tex]Ratio = 0.4[/tex]
For Width:
[tex]Ratio = \frac{8}{15}[/tex]
[tex]Ratio = 0.53[/tex]
Since both ratios are the not same, then this statement is false
Slope = 2; y-intercept = -1
Answer: y=2x-1
Step-by-step explanation:
In slope intercept form y=Mx+b
Mx=slope and b=intercept
Y=2x-1
The equation of line with slope m = 2 and y-intercept is -1 is given by
y = 2x - 1
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the slope of the line m = 2
Let the y intercept of the line b = -1
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 2x - 1 be equation (1)
Therefore , the value of A is y = 2x - 1
Hence , the equation of line is y = 2x - 1
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Which of the following angle relationships can you use to prove that two lines are parallel?
A supplementary corresponding angles
B congruent alternate interior angles
congruent vertical angles
D congruent same-side interior angles
The following angle relationships can you use to prove that two lines are parallel?
A. supplementary corresponding angles
B. congruent alternate interior angles
C. congruent vertical angles
D. congruent same-side interior angles
Hence proved
What is Angles?
When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.
In algebra, two lines can be represented as
a and b are constants in y=ax+ b.
(x,y)
on the Cartesian plane, are points.
Let's say two lines are depicted as
y1 = a1 (x + b1) and y2 = a2 (x + b2)
If and only if, the two lines are parallel.
As any line can be parallel to itself, either b1 is not equal to b2 or b1=b2 and a1=a2.
The characteristic of two simultaneous linear equations that have either no solution or an infinite number of solutions, but not exactly one solution, is another approach to define the term "parallel."
The final definition of the attribute of two lines being "Parallel" states that it is only possible for the X and Y axes to not be parallel to one another. It does not demand for the X and Y axes to be orthogonal to one another or that there be any particular angle between them.
This also applies to the situation of N axes.
Additionally, it is not necessary for Space to be Euclidean or for the 'lines' to be rectilinear.
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Estimate 4.8 x 4.15.
Answer:
19.92
Step-by-step explanation:
4.8 x 4.15
Answer:
20 is the correct answer.
Step-by-step explanation:
Please can some body help me with this!!!!
It’s due tomorrow ☹️
Answer:
x=6
DO=25
OG=35
Step-by-step explanation:
start by solving the length of DG to find x.
DO+OG=60
(4x-3)+(2x+21)=60
6x+18=60
6x=42
x=7
Now plug in x and solve.
DO=4(7)-3
DO=28-3
DO=25
OG=2(7)+21
OG=14+21
OG=35
Gabriela asistió al buen fin y compró a crédito un refrigerador de $8,500.50, un televisor de $3,500.50, una computadora de $6,999.00 y una lavadora de $4,999.00. ¿A cuánto asciende la deuda de Gabriela?
Answer:
23,999
Step-by-step explanation:
Un refrigerador de $8,500.50
Un televisor de $3,500.50
Una computadora de $6,900.00
Una lavadora de $4,999.00
8,500.50 + 3,500.50 + 6,999.00 + 4,999.00 = 23,999.00
kim namjoon...
anyone army??
Answer:
Er... um... huh?
Step-by-step explanation:
WHAT IS THIS A CULT OR SUMTHIN'
If you teach me how to mark brainlest i will mark you brainlest and you will get 20 points.
Answer:
tab on it.
Step-by-step explanation:
What is the distance from point to wx in the figure below?
W
24
Z 10 X
Pro
26
1012
y
O A. 10.5
Ο Ο Ο
OB. 10/3
C. 35
D. 10
O E. 5
O F. Cannot be determined
Answer:
D. 10
Step-by-step explanation:
Apex
Answer:
Step-by-step explanation:
Its D 10
(2x10^3)x(4x10^2) how do you do it help!
Answer:
800000x^3
Step-by-step explanation:
how to know the equation and solve it?
Answer:
i added all the values because the total angle of the interior triangle should give 180 °.
2 1/3 divided by 1/4
Answer:
9 1/3 or 28/3
Step-by-step explanation:
(3-x)3y math homework pleassee help!! Also please include explanation
Answer:
9y - 3xy
Step-by-step explanation:
3y(3 - x)
Distribute;
3y*3 - 3y*x = 9y - 3xy
My number is even.
It is a factor of 198 and a multiple of 9.
It is less than 100.
What is my number?
Answer:
18
Step-by-step explanation:
Look at all factors of 9 that are even; 18, 36, 54, 72, 90
Next divide 198 by those numbers and the only whole number is from 18.
9 x 2 = 18
198/18 = 11
what is the distance between 1/4 and 3 1/16?
Answer:
2 13/16
Step-by-step explanation:
3/16 - 1/4
Which of the following steps could be used to solve the equation 93 = x + 58?
Answer:
x=35
Step-by-step explanation:
93=x+58
-58 -58
35=x
x=35
Simply subtract 58 on both sides so it crosses out, isolating x.
Also x would be 35 in case you need that.
To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws. On a coordinate plane, parallelogram R S T U has points (negative 4, negative 3,) (negative 5, 1), (4, 3), and (5, negative 1). Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU? 2 (18 + 4) One-half (18 + 4) (18 + 4) (18 - 4)
Answer:
The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085
Step-by-step explanation:
The given parameters are;
The coordinates of parallelogram RSTU are;
R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)
The lengths of the sides are (using an online length calculator);
RS = 4.1231
RT = 10
ST = 9.2195
SU = 10.198
TU = 4.1231
UR = 9.2195
Therefore, by definition of a parallelogram, we have;
RS║TU and ST║UR
The slope of RS = (1 - (-3))/(-5 - (-4)) = -4
The slope of ST = (3 - 1)/(4 - (-5)) = 2/9
The equation of the line perpendicular to ST is therefore;
y - 1 = -9/2×(x - (-5))
y = -9x/2 - 43/2
The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1
y = x/4 - 2
The point where the two lines meet is therefore;
-9x/2 - 43/2 = x/4 - 2
x = -78/19
y = -115/38
The length of the side of the rectangle = 4.1245
The excess width of the rectangle = 0.1085
The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.
Answer: It’s C on edge
Step-by-step explanation:
Plzzzzzzz help ppllz
Answer:
x=25
Step-by-step explanation:
Given
Evaluate -12+ |4-9z| if Z=8
Answer:
-12+l4-72l
Step-by-step explanation: i hope this helps
Answer:
56
Step-by-step explanation:
Which statement is true about the function f(x)= x?
O The domain of the graph is all real numbers.
The range of the graph is all real numbers.
The domain of the graph is all real numbers less than or equal to 0.
The range of the graph is all real numbers greater than or equal to 0.
Answer:
D
Step-by-step explanation:
[tex]\sqrt{x}[/tex] only takes positive inputs and only outputs positive integers
how.would i solve this
Triangles LNM and SRT are similar, so corresponding angles are congruent. In particular, angles M and T are congruent. The interior angles of any triangle sum to 180º in measure, so
65º + 55º + (2x + 30)º = 180º
Solve for x :
(2x)º + 30º = 60º
(2x)º = 30º
x = 15
Translate the inequality and solve. Negative three times a number is less than six.
Answer:
x>-2
Step-by-step explanation:
The translated inequality to be solved is -3x<6
You divide -3 by both sides which switches the sign because it is negative, there fore the answer is x>-2.
Answer:
x<-18
Step-by-step explanation:
3.An increasing linear function with independent variable x and dependent variable y approaches the point (−1, 1). If this function is defined only when x is greater than −1 and y is greater than 1, what are the domain and range of this function?
A.The domain is (−1,+[infinity]) and the range is (−1,+[infinity]).
B.The domain is (−1,+[infinity]) and the range is (1,+[infinity]).
C.The domain is (1,+[infinity]) and the range is (−1,+[infinity]).
D.The domain is (1,+[infinity]) and the range is (1,+[infinity]).
4.The function y=3x−6 is defined for all values of y less than 12. Determine the value of x that corresponds to the upper boundary y=12.
A.18
B.6
C.2
D.54
5.The function y=2x+5 is defined for every y-value that is not less than 11. What is the domain of this function?
A.(−[infinity], 3)
B.[3,+[infinity])
C.(3,+[infinity])
D.(−[infinity], 3]
Answer:
3.
C. The domain is (1,+[infinity]) and the range is (-1,+[infinity])
4.
B. 6
5.
A. (-[infinity], 3)
Step-by-step explanation:
The Linear function has one independent and one dependent variable. The value of dependent variable can be found by taking the equation equals to 0. The domain function is set to analyse the range. The range can be set as -1 to 1. Any number between this is acceptable but outside this is not considered in the domain.
A child shot a toy rocket into the air from their playhouse which stood 5 ft above the ground. The rocket rose to 50 ft above the ground and landed on the ground 3.4 seconds later. The path of the toy rocket could be modeled by a quadratic function, , where h is the height of the toy rocket in feet after t seconds. ⦁ What is the practical domain of the function? ⦁ What is the practical range of the function? ⦁ How would the theoretical domain and range of the function differ from the practical domain and range of the situation?
Answer:
a. 0 ≤ t ≤ 3.4 s. b. 0 ≤ y ≤ 50 ft. c. i. -∞ ≤ t ≤ +∞. ii. -∞ ≤ y ≤ 50
Step-by-step explanation:
a. What is the practical domain of the function?
Since the toy rocket lands on the ground 3.4 seconds later, if the time it starts to fly in the air is time t = 0 and the time it lands is time t = 3.4 s, the practical domain of the function is 0 ≤ t ≤ 3.4 s.
b. What is the practical range of the function?
Since the rocket reaches a maximum height of 50 ft, if the maximum height of the toy rocket is y = 50 ft and it lands on the ground at y = 0, the practical range of the function is 0 ≤ y ≤ 50 ft.
c. How would the theoretical domain and range of the function differ from the practical domain and range of the situation?
i. The theoretical values of t is from is from t = -∞ to t = +∞. So, the theoretical domain is -∞ ≤ t ≤ +∞.
ii. Since the maximum value of the function is y = 50, and it also decreases to y = -∞. So, the theoretical domain is from y = -∞ to y = 50. So, the theoretical range is -∞ ≤ y ≤ 50
D. Neither
I will give brianlest to whoever is right
Answer:
Negative Infinity
Step-by-step explanation:
It is a negative slope, therefore as x moves towards positive infinity, y will move towards negative infinity.
What property justifies 4x=7
Answer:
x=1.5
Step-by-step explanation:
Answer:
exact form x=7/4
decimal form x=1.75
mixed number form x=1 3/4
Step-by-step explanation:
Given f(x) = -2x - 1, solve for x when f(x) = -7
A pie chart is used when
3. The area of a rectangle is 5/8 square foot. The width of the rectangle is 24
feet. What is the length of the rectangle?
a) 25/16 feet
b) 25/5 feet
c) 14 feet
d) 4 feet
Answer: 14
Step-by-step explanation:
Well, we know that the formula to fugure out area is :Length times Width
We also know that WIdth is 24. So 24 times __ =5/8.
Now, how do you figure out __? Well, let's first replace that as a variable to make it easier. Let's choose: x Now, we know that:
x * 24 = 5/8.
To figure out x, we need to do 5/8 divided by 24, right? When you solve that, the answer would be 15. The closest is 14, so I think the answer is 14.
question.
Contrast the plate movements that cause the stresses in diagrams B and C How did geography affect the way Greeks made their livings?
Answer:
1. Greece made most of their living from the sea.
2. They became fishers and sailors to get food.
3. On their peninsula they had many different ways to trade with other countries.
4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.
5. Since Greece's sea's are dived from one another, it make trading fiercely independent.1. Greece made most of their living from the sea.
2. They became fishers and sailors to get food.
3. On their peninsula they had many different ways to trade with other countries.
4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.
5. Since Greece's sea's are dived from one another, it make trading fiercely independent.