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3 years ago

If triangle QRS QR =8 and RS=5 which expresses all possible lengths of side QS

Mathematics

1 answer:

Ede4ka [16]3 years ago

6 0

3 < x < 13

This is because the sum of two sides must be greater than the length of the third side.

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An economy pack of highlighters contains 12 yellow, 6 blue, 4 green, and 3 orange highlighters. An experiment consists of random

Serhud [2]

Answer:

The probability of choosing a blue or yellow highlighter when one yellow highlighter is picked is 17/25.

Step-by-step explanation:

Here, according to the question:

Total number of yellow highlighters = 12

Total number of blue highlighters = 6

Total number of green highlighters = 4

Total number of orange highlighters = 3

So, the total number of highlighters = 12 + 6 + 4 + 3 = 25

Let E1 : Event of selecting a yellow highlighter.

P(E1) = $\frac{\textrm{Total number of yellow highlighters}}{\textrm{Total Highlighters}}$ = $\frac{12}{25}$

Let E2 : Event of selecting blue or yellow highlighter ONCE yellow highlighter is selected.

So, the total yellow highlighters left after selecting one = 12 -1 = 11

Also, the number of blue highlighter = 6

So, the TOTAL FAVORABLE options to E2 = 6+ 11 = 17

P(E2) =

$\frac{\textrm{Total number of yellow + Blue highlighters}}{\textrm{Total Highlighters}}$ = $\frac{17}{25}$

Hence, the probability that a blue or yellow highlighter is selected given that a yellow highlighter is selected is 17/25.

7 0

3 years ago

Classify each representation shown below as either linear or exponential.

hichkok12 [17]

1. Exponential

2. Linear

3. Exponential

4 0

3 years ago

When a positive number is multiplied by the sum of twice the number and half the number, the result is the original number. What

ValentinkaMS [17]

The number will be itself when multiplied by 1.

The sum of twice and half the original number is 1, so the number is
2n +0.5n = 1
2.5n = 1
n = 1/2.5 = 0.4

The original number is 2/5.

5 0

3 years ago

A line intersects the points (-4,6) and (-2,5). what is the slope intercept equation for this line

kompoz [17]

First find the slope of the line connecting these two points:

6-5

m = ------------ = -1/2

-4+2

Substitute this slope into y = mx + b: y = (-1/2)x + b.

Next, subst. 5 for y and -2 for x, and find b:

5 = (-1/2)(-2) + b, or 5-1=b. Then b = 4, and

the equation of the line is y = (-1/2)x + 4.

7 0

4 years ago

Read 2 more answers

Write the equation of the line that passes through the points (8,−7) and (−9,7). Put your answer in fully reduced point-slope fo

Sunny_sXe [5.5K]

Answer:

y + 7 = (-14/17)(x - 8)

Step-by-step explanation:

We want the equation of this line in the point-slope form y - k = m(x - h).

We are given two points (8, -7) and (-9, 7), and may arbitrarily choose one of them to serve as the point (h, k) in the point-slope form shown above. Then the other point is represented by (x, y) in the point slope form shown above:

Let (h, k) be 8, -7) and let (x, y) be (-9, 7). Then, y - k = m(x - h) becomes:

7 - (-7) = m(-9 - 8), so that 14 = m(-17), and the slope is thus m = -14/17

The desired equation is then y + 7 = (-14/17)(x - 8) (which is in point-slope form).

Another way to get this result would be to find m in the usual way:

rise 14

m = ------------- = --------- = -14/17 (same as before).

run -17

6 0

3 years ago