Problem 1
Answer: New perimeter is 4 times larger than the original
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Explanation:
This is because we are multiplying each side by 4 to make each side 4 times larger than the original.
Let's say we had a triangle with side lengths 1,2,3
The perimeter would be 1+2+3 = 6
Now multiply each side by 4
4*1 = 4
4*2 = 8
4*3 = 12
Then add up those new side lengths: 4+8+12 = 24
We see that 24 is exactly 4 times larger than 6
In more general terms, say the triangle has side lengths x y and z
The old perimeter is simply x+y+z
The new perimeter is 4x+4y+4z = 4(x+y+z) = 4*(original perimeter)
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Problem 2
Answer: New perimeter is 0.5 times larger than the old perimeter
In other words, the new perimeter is half as large
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Explanation:
The same idea applies as in problem 1. The only difference is that we're multiplying each side by 0.5 now
1/2 = 0.5
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Problem 3
Answer: 84
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Explanation:
We're using the same idea as the other problems above.
new perimeter = (scale factor)*(old perimeter)
new perimeter = (6)*(14)
new perimeter = 84
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Problem 4
Answer: 16
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Explanation:
Same idea as before
new perimeter = (scale factor)*(old perimeter)
new perimeter = (0.25)*(64)
new perimeter = 16
As you can see, if the scale factor is larger than 1, then the new perimeter will be larger. If the scale factor is smaller than 1, but still positive, then the new perimeter will be smaller.
Answer: The scale Factor is the number that you Multiply the Original Lengths by to get the new lengths.
1.) The new length is 4 times the original. 4× L
2.) The new length is 0.5 times the original. 0.5× L
3.) 84. 6×14 = 84
4.) 16. 64× 0.25 = 16
Step-by-step explanation:
For lines --- like sides, perimeter, and distance, Multiply the original number by the Scale Factor to get the new number. Or Divide the New number by the Scale Factor to get the Original.
(They ask that sometimes.)
__Also remember that length refers to lines__.
[ Area refers to Square Units. The Factor must also be squared. ]
Use the third pair of points to do each of the following. The third pair is (-6, 7), (-3, -4).
1. Give the slope
2. Write the equation in point-slope form.
3. Write the equation in slope-intercept form.
4. Write the equation of the line in standard form.
5. Give the x-intercept from standard form (remember, let y=0)
6. Give the y-intercept from standard form (remember, let x=0)
Answer:
The slope of the line is m = −11/3 ≈ −3.66666666666667 .
Step-by-step explanation:
The slope of a line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.
We have that x1=−6, y1=7, x2=−3, y2=−4.
Plug the given values into the formula for a slope: m=−4−(7)−3−(−6)=−113.
Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).
b=7−(−113)(−6)=−15
Finally, the equation of the line can be written in the form y=b+mx:
y=−15−11x3
The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of One-fourth is used to make a scale model of the dining room, what is the area of the dining room in the scale model?
18 square feet
36 square feet
48 square feet
72 square feet
Given -
The dimensions of a rectangular dining room are 18 feet by 16 feet. i.e, length (l) = 18 feet and breadth (b) = 16 feetScale factor of One-fourth is used to make a scale model of the dining room.To find -
the area of the dining room in the scale model (A)Solution -
As we know, the area of rectangle = length of the rectangle × breadth of the rectangle
To state the dimensions of the scale model we will multiply 1/4 with the already given dimensions of a rectangular dining room. Hence, dimensions of scale model is 18/4 by 16/4.
Now,
Area = length × breadth
Area = 18/4 × 16/4 square feet
Area = 18 square feet
Therefore, the area of the dining room in the scale model (A) is 18 square feet.
Answer:
18 square feet
Step-by-step explanation:
SOLVE
[tex]\frac{12}{-4}[/tex]
[tex]\frac{-12}{4}[/tex]
[tex]-(\frac{12}{4})[/tex]
Answer: 12/-4= -3. -12/4=-3. -(12/4)= -3
Step-by-step explanation: All equal -3 just divide all of them to get the answer.
42 x 69 = ? forty-twos
find x and y if p || q and m3=(4x+6y),m5=86,and m6=(5x+6y)
Answer:
(8, 9)Step-by-step explanation:
3 and 5 are vertical angles and are equal as per definition of vertical angles
4x + 6y = 865 and 6 are supplementary angles and sum up to 180 as per definition of supplementary angles
5x + 6y + 86 = 180 ⇒ 5x + 6y = 94Comparing the two equations
6y = 86 - 4x and 6y = 94 - 5x86 - 4x = 94 - 5x5x - 4x = 94 - 86x = 8Finding y
6y = 86 - 8*46y = 86 - 326y = 54y = 9Answer
(8, 9)In what ways is it useful to develop an algorithm for adding and subtracting rational numbers?
Answer:
To add or subtract these rational numbers, you first need to change your rational numbers so that they share a common denominator. Once you have a common denominator, you can then go ahead with the addition or subtraction of just the numerator part
Step-by-step explanation:
The algorithm is shown below
What is Algorithm?An algorithm in math is a procedure, a description of a set of steps that can be used to solve a mathematical computation.
For example, a step-by-step procedure used in long divisions is a common example of a mathematical algorithm.
To add or subtract these rational numbers,
First make sure that both the rational number must have same denominator. After that having common denominator proceed with subtraction or addition.The subtraction or addition only be performed with numerator not with denominator.Learn more about rational number here:
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Can someone pls help ☹️
Answer:
c = 13
Step-by-step explanation:
Answer:
Step-by-step explanation: Interesting because the outside area
What will be the new position of the given point (7, 4) after translation of 4 units up?
a (7, 8)
b (11, 8)
c (7, 4)
d (11 ,4)
second question: What will be the new position of the given point after being translated up 1 unit.
The new coordinates of the point will be (7, 8)
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, the new position of the given point (7, 4) has been achieved after the translation of 4 units up
Since translation upward in the cartesian plane means it is moving along the y-axis and hence its y-coordinate is changed. So, if a point is translated units up, its y-coordinate increases by a unit, and for a point (x,y), it changes to (x,y+a)
Thus,
The new coordinates of the point will be = (7, 4 + 4)
The new coordinates of the point will be = (7, 8)
Learn more about coordinates here:
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Evaluate 5+(−3) =
plz I need help
Answer:
2
Step-by-step explanation:
it's just 5 - 3 lol, 5+-3=2
Answer:
2
Step-by-step explanation:
5+(-3)
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When you are adding a negative you are subtracting.
--------------------------
In this equation, we can replace the "+(-)" with "-" like this:
--------------------------
5+(-3)=
5-3=
--------------------------
With that, the final answer is...
5-3=
2
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Last math question :’)
Answer:
324
Step-by-step explanation:
um sorry thats all i understand from this problem :(
The variable y varies directly with the variable x.
A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 10, 14. Column 2 is labeled y with entries 3, 15, blank.
If the value of x is 14, what is the value of y?
Answer:
21
Step-by-step explanation: :)
Please help ;-; ASAP QnQ
I got a pic plz help
Answer:
For the first one, you get x<7.
For the second one, you get x >_ 11
Step-by-step explanation:
For the first one: -2x - 2 > -16
Step 1. Add 2 to both sides.
-2x - 2 +2 > -16 + 2
-2x > -14
Step 2. Divide both sides by -2 and switch the sign
-2x/-2 > -14/-2
x < 7
For the second one: 2x - 1 >_ 21
Step 1: Add 1 to both sides
2x -1 +1 >_ 21 + 1
2x >_ 22
Step 2: Divide both sides by 2
2x/2 >_ 22/2
x >_ 11
hope this helps!
1. -3 + ? = 2 ; 2. 7 + ? = -2 ; 3. -6 + ? = -11 plz help
Answer:
1. 5
2. -9
3. -5
Step-by-step explanation:
hope this helps you
Answer:
1. 5
2. -9
3. -5
Step-by-step explanation:
39 ft/min= ____ yd/s explain your reasoning
Answer:13 yards
Step-by-step explanation:
There are 3 feet in one yard 39 divided by 3 is 13. So 39 feet is 13 yards
The table below shows the price for different sized cans of corn. Which can has the cheapest price per ounce?
28 oz.
14 oz.
10 oz.
44 oz.
Answer:
44 oz.
Step-by-step explanation:
about 0.07 each ounce
Answer:
just divide them
Step-by-step explanation:
get a calculator and divide the oz. by the price
HELPPP PLEASE WILL MARK BRAINLEST IF RIGHT!!!
Answer:
C) 18 inches
Step-by-step explanation:
lets call the shortest side x.
that means the second side is 3x
the third side is x + 5
the perimeter of the triangle is 95 inches.
using this information, you can make the following equation:
x + 3x + x + 5 = 95
subtract 5 from both sides.
x + 3x + x = 90
5x = 90
x = 18
the shortest side is 18 inches long
Will mark brainliest!
Choose the equation that represents a line that passes through points (−3, 2) and (2, 1).
5x + y = −13
5x − y = 17
x − 5y = −13
x + 5y = 7
Answer:
Your answer: D) x+5y=7
Step-by-step explanation:
Hope this helped : )
Answer:
It’s the second one in the fourth one
Step-by-step explanation:
HERE is the question lol
Find the coordinates of the image of J(8,7) after a reflection over the x-axis.
Answer:(8,-7)
Step-by-step explanati
Michal yard is 320 acres if he mowed 2/5 of his yard on friday how many acres does he have left to mow on saturday P.S you get 25 points when you answer HELPPPP IS IT 128 0r 192
Answer:
128
Step-by-step explanation:
320 divided by 5 is 64, so 1/5 is 64, so 64 + 64 is 128
edit: OH MY GOD THIS IS WRONG I JUST REALIZED IM SORRY
the actual answer is 192
Which of the following is NOT a true statement?
A. Angle 1 and Angle 5 are corresponding angles.
B. Angle 2 and Angle 7 are alternate interior angles.
C. Angle 5 and Angle 8 are vertical angles.
D. Angle 3 and Angle 7 are corresponding angles.
Answer:
The correct answer would be B.
Which of the following results in the expressions 0.43 times 52 ?
(A) 52% of 0.42
(B) 43 of 52%
(C) 0.52 of 43%
(D) 43% of 52
Answer:
I'm pretty sure the answer is D
Step-by-step explanation:
Percents are decimals and the only one that shows 43 as a percent is D while not turning 52 into a decimal.
Can anyone Help me with this please
Answer:
A is top left E is bottom left C is bottom right G is top right
Step-by-step explanation:
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clothing that costs $180?
$6.00
$9.80
$10.80
$18.60
Find the value of the expression: -2 3/5 x 4 Explain how you found your answer in 2 complete sentences and write your answer in a mixed number.
Answer:
i think its 0.4
Step-by-step explanation:
Solve for x.
x=.................
Answer:
X=2
If you substitute 2 in for x, you get 35 for both angles. Since both sides are the same, the answer has to be 2.
What would be your next step?
14p - 8 = 22 + 20p
-8 = 22 + 6p
The next step to solve the equation is subtracting 22 from both sides.
Thus, option (B) is correct.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Given equation: -8 = 22 + 6p.
1. Start by isolating the variable term, 6p, on one side of the equation.
In this case, subtracting 22 from both sides of the equation:
-8 - 22 = 22 + 6p - 22
-30 = 6p
2. Next, divide both sides of the equation by 6 to solve for p:
-30/6 = 6p/6
-5 = p
Therefore, the solution to the equation is p = -5.
Thus, option (B) is correct.
Learn more about Equation here:
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in 2005 8.1 x 10^10 text messages were sent in the united states. in 2010, the number of annual text messages has risen to 1,810,000,000,000. about how many times as great was the number of text messages in 2010 than 2005?
22.345679 times greater.
10^10 = 10 zeros. 10,000,000,000.
10 billion * 8.1 = 81 billion.
1.18 trillion / 81 billion = 22.345679
solve the volume of a cone, V=1/3πr^2h, for h.
h = ?
Answer:
h = 0.011
Step-by-step explanation:
