What is the distance between (4, 7)(4,7)left parenthesis, 4, comma, 7, right parenthesis and (2, 2)(2,2)left parenthesis, 2, com
tester [92]
Answer: square root of 29
Step-by-step explanation:
Given the question :
Distance between (4, 7) and (2, 2)
Distance between two points is given by:
Distance = sqrt[(X2 - X1)² + (Y2 - Y1)²]
X1 = 4 ; Y1 = 7 ; X2 = 2 ; Y2 = 2
Distance = sqrt[(2 - 4)² + (2 - 7)²]
Distance = sqrt[(-2² + - 5²)]
= sqrt(4 + 25)
= sqrt(29)
The small sign's perimeter is 36 inches
Step-by-step explanation:
The scale factor between two figures is obtained by:
So,
We know that
Putting the values in the above equation of scale factor we get
Cross multiplication
Dividing both sides by 5
Hence,
The small sign's perimeter is 36 inches
Keywords: Scale factor, Ratio
Learn more about scale factor at:
#LearnwithBrainly
X= brother's height
Multiply 2/3 by the brother's height (x). This equals the sister's 48 inch height.
2/3x= 48
divide both sides by 2/3
x= 48 ÷ 2/3
multiply by the reciprocal of 2/3
x= 48 * 3/2
x= (48*3)/2
x= 144/2
x= 72 inches, the brother's height
ANSWER: The brother is 72 inches tall.
Hope this helps! :)
{7, 8, 9, 10} {9, 10, 11, 12} Which of the following shows the intersection of the sets? A. {9, 10} B. {7, 8, 9, 10} C. {9, 10,
lara31 [8.8K]
Answer:
<h3>
{ 9 , 10 }</h3>
Option A is the correct option.
Step-by-step explanation:
Let the sets be A and B
A = { 7 , 8 , 9 , 10 }
B = { 9 , 10 , 11 , 12 }
<u>The intersection of sets A and B is </u><u>the</u><u> </u><u>set</u><u> </u><u>of</u><u> </u><u>all</u><u> </u><u>ements</u><u> </u><u>which</u><u> </u><u>belongs</u><u> </u><u>to</u><u> </u><u>both</u><u> </u><u>A</u><u> </u><u>and</u><u> </u><u>B</u><u>.</u>
The intersection of sets A and N is denoted by ( A ∩ B ) and read as A intersection B.
A ∩ B = { 7 , 8 , 9 , 10 } { 9 , 10 , 11 , 11 , 12 }
Now, list the elements which are present in both sets. A ∩ B = { 9 , 10 }
Hope I helped!
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