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olganol [36]
3 years ago
7

Having a hard time understanding these transformations. Thank you!​

Mathematics
1 answer:
Oksanka [162]3 years ago
8 0

Answer:

1). For < 4 Coordinates will be A"( -2,2),B"(1,-1),C"(-3,-2).

   For 1 > Coordinates will be A"(3,2), B"(6,-1), C(2,-2).

2). A"(-2,2), B"(-1,-2), C"(-5,-1).

Step-by-step explanation:

1) In this part of the question we have to find the new coordinates of the triangle when there is a shift of 4 in left means the new coordinates will be A"( 2-4,2),B"(5-4,-1),C"(1-4,-2) Or  A"( -2,2),B"(1,-1),C"(-3,-2).

And when shifted by 1 in right direction A,B,C will be A",B",C" that are A"( 2+1,2),B"(5+1,-1),C"(1+1,-2) Or A"(3,2), B"(6,-1), C(2,-2).

2) Now we have to get the reflection of points A(2,2), B(5,-1), C(1,-2) across Y axis.

When A reflects about Y axis it will reflect in Second quadrant. So new coordinates will be A"(-2,2).

Similarly B and C will reflect in third quadrant. So new coordinates will be B"(-1,-2) & C"(-5,-1).

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What is the value of the digit 3 in the number 17.03
kodGreya [7K]

Answer:

3 hundredths.

Step-by-step explanation:

After the decimal point the unit becomes tenths, hundredths, thousandths and so on. The 3 is in the hundredths column.

7 0
3 years ago
Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a seco
kari74 [83]

Answer:

C. \frac{1}{18}

Step-by-step explanation:

Given: Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl then a second card is drawn.

To Find: If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5.

Solution:

Sample space for sum of cards when two cards are drawn at random is \{(1,1),(1,2),(1,3)......(6,6)\}

total number of possible cases =36

Sample space when sum of cards is 8 is \{(3,5),(5,3),(6,2),(2,6),(4,4)\}

Total number of possible cases =5

Sample space when one of the cards is 5 is \{(5,3),(3,5)\}

Total number of possible cases =2

Let A be the event that sum of cards is 8

p(\text{A}) =\frac{\text{total cases when sum of cards is 8}}{\text{all possible cases}}

p(\text{A})=\frac{5}{36}

Let B be the event when one of the two cards is 5

probability than one of two cards is 5 when sum of cards is 8

p(\frac{\text{B}}{\text{A}})=\frac{\text{total case when one of the number is 5}}{\text{total case when sum is 8}}

p(\frac{\text{B}}{\text{A}})=\frac{2}{5}

Now,

probability that sum of cards 8 is and one of cards is 5

p(\text{A and B}=p(\text{A})\times p(\frac{\text{B}}{\text{A}})

p(\text{A and B})=\frac{5}{36}\times\frac{2}{5}

p(\text{A and B})=\frac{1}{18}

if sum of cards is 8 then probability that one of the cards is 8 is \frac{1}{18}, option C is correct.

3 0
3 years ago
18. What is the y-intercept of the line that passes<br> through the points (1, 1) and (5, 13)?
TEA [102]

Answer:

-2

(The coordinate point is (0,-2))

Step-by-step explanation:

First, make an equation of the line.

Start off with finding the slope:

Slope = (13-1)/(5-1) = 12/4 = 3

Then solve for the y-intercept though substitution and simplification:

y=mx+b --> 1=3(1)+b --> 1=3+b --> b= -2

So the answer is -2.

4 0
3 years ago
Translate each equation into a verbal sentence<br><br> 13 = 2 + 6t
Mama L [17]

thirteen  is equal to two plus six T. Hope this can help. Have a wonderful day. : )

5 0
4 years ago
A costume designer needs to make 12 costumes for the school play. Each costume requires 223 yards of fabric. How many yards of f
lawyer [7]

Answer:

2676 yards

Step-by-step explanation:

12*223 is 2676

if each costume requires 223 yards then all you do is multiply the numbers

3 0
3 years ago
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