HELP!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

jek_recluse [69]2 years ago

7 0

Answer:

option A

Step-by-step explanation:

the statement tell us that she slides the triangle 2 units down, so the vertical axis is the one that we are going to modify

we have the points: (1,2), (3,3) and (4,1)

so to these points we subtract "2" to the variable Y

I mean:

(1,2): 2-2=0

(3,3): 3-2=1

(4,1): 1-2=-1

finally we have:

(1,0), (3,1) and (4,-1)

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The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not c

Step2247 [10]

The side lengths could be 10, 24 and 26 units.

We must first find the side lengths. We use the distance formula to do this.

For RT:
$d=\sqrt{(11--1)^2+(-1--1)^2}
\\=\sqrt{(11+1)^2+(-1+1)^2}
\\=\sqrt{12^2+0^2}=\sqrt{144}=12$

For ST:
$d=\sqrt{(11-11)^2+(4--1)^2}
\\=\sqrt{0^2+(4+1)^2}=\sqrt{5^2}=\sqrt{25}=5$

For TR:
$d=\sqrt{(11--1)^2+(4--1)^2}
\\=\sqrt{(11+1)^2+(4+1)^2}=\sqrt{12^2+5^2}=\sqrt{144+25}=\sqrt{169}=13$

Our side lengths, from least to greatest, are 5, 12 and 13.

To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.

5 0

3 years ago

A bad contains 15 balls of which X is red. Write an expression for the probability that a ball drawn from the bad is red. When 5

antoniya [11.8K]

Answer:

Step-by-step explanation:

The current probability of picking a red ball is $\frac{x}{15}$ . When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem: