Points R, S, and T are plotted on a number line. The coordinate of point R is –6. Points S and T are the same distance from point R.What could be the coordinates of S and T?

A.
S = 0, T = 6

B.
S = –4, T = –2

C.
S = –9, T = –12

D.
S = –10, T = –2

Answers

Answer 1
Answer: D. S=-10, T=-2 is the answer.

While we check all the given options, we will see that no option other then option D gives us the equal value of difference between R and S, and R and T; which doesn't makes the given value of S and T in option(s) A, B and C equidistant from R as given in the question. Thus, it gives us option D as the answer.

Mathematically-

Considering the option D only,
 
 R - S = -6 - (-10) = -6 + 10 = 4
 and, T - R = -2 - (-6) = -2 + 6 = 4
 thus, R - S = T - R


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What are the vertex and x-intercepts of the graph of the function below? y =(x + 4)(x - 2)

Answers

y = (x + 4)(x - 2)

The x-intercepts:

0 = x + 4
0 = x - 2

x = -4
x = 2

The vertex:

y = (x + 4)(x - 2)
y = x^2 + 2x - 8
x = -b/2a
If ax^2 + bx + c, then:
a = 1
b = 2
c - 8
x -2/2(1)
x = -1
y = (-1)^2 + 2(-1) - 8
y = -9

The vertex is (-1, -9)
The x-intercepts are -4 and 2

Answer: vertex: (1,-9); intercepts: x=4,-2

Step-by-step explanation:

Just got it wrong on ap3x so I could give y’all the right answer

A students wants to help her mother in their family store in displaying canned goods. Her mother instructed that the canned should be piled in triangular pile by starting 40 canned goods in the bottom row, 36 in the second row, 32 in the third row, and so on. If the pattern is consistent, how many canned goods will be there in the 7th row?

Answers

Answer: The number of canned goods in 7th row = 64.

Step-by-step explanation:

The given numbers of canned goods in every row( starting from first ) is represented as

40 , 36, 32, ...

There is a common difference between numbers(d)= 4

∴ Its is an Arithmetic progression.

First term (a) = 40

nth term in A.P. : a(n)= a+(n-1)d

7th term in this A.P. = 40+(7-1)(4)=40+(6)(4)=40+24=64

So, the number of canned goods in 7th row = 64.

True or False? The following is an example of inductive reasoning: Out your window you notice that seven elderly people have walked by on the sidewalk. You conclude that only elderly people live in your neighborhood. True False

Answers

False. Anybody can walk  on a sidewalk.

Final answer:

The statement presented in the question is an example of inductive reasoning, where a general conclusion is drawn based on specific observations or examples.

Explanation:

The statement presented in the question is an example of inductive reasoning. Inductive reasoning is the process of making generalizations based on specific observations or examples. In this case, the student observes several elderly people passing by on the sidewalk and concludes that only elderly people live in their neighborhood. However, this conclusion may or may not be correct, as it is based on a limited number of observations.

Learn more about Inductive Reasoning here:

brainly.com/question/13445962

#SPJ12

The dinosaur's ribs and arms are at the intersection of the diagonals shown in the diagram. Compute their equations!First, compute the slopes:

Slope of l:
Slope of m:

Answers

Answer:

Slope of l:    

0.5

Slope of m:  

✔-0.75

Step-by-step explanation:

Line l:

y - 4 = 0.5(x - 1)

Line m:

y - 5 = -0.75(x - 43)

last part is Line l:

y = 0.5x + 3.5

Line m:

y = -0.75x + 37.25

Answer:

(Did it on edge)

Step-by-step explanation:

Plz Hurry In which number is the value of the digit in the ten-thousands place 10 times the value of the digit in the thousands place?


A.

80,846


B.

68,486


C.

88,604


D.

64,808

Answers

D I’m pretty sure because 8 times itself = 64

Answer:

i think its D

Step-by-step explanation:

i think its D

2/3 of all your books are fiction. 1/6 of those are historical fiction. What fraction of all your books are historical fiction?

Answers

multiply 2/3 and 1/6
2*1=  2
3*18=54
simplify 2/54 = 1/27