O GRAPHS, FUNCTIONS, AND SEQUENCES

1 answer:

7 0

Always use the formula (y2-y1)/(x2-x1) to find a line’s slope, given two points:

(-1- -8)/(4-5) = 7/-1 = -7

-7 is the slope

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For every truck a police officer encounters she writes down T, for every car C, for every van V, and for every vehicle that is n

Kruka [31]

Answer:

5 = T

8 = C

3 = V

3 = O

which means its other because it said it is not a car, truck or van so its other meaning O

O = other

Answer: O

Step-by-step explanation: Theirs really nothing to it just pay attention to the hint :)

4 0

3 years ago

Given: △KLM, LM=20 3 <br> m∠K=105°, m∠M=30°<br> Find: KL and KM

hjlf

Okay, so the angle of K is 45° (180 - 135).

Draw a line that goes straight down from angle L and let's say that point is point Z. You can see that this triangle can be separated into two special triangles: the 45 45 90 triangle on the left (ΔLKZ) and the 30 60 90 triangle (ΔLMZ) on the right.

I don't know if you've learned this yet (just google them if you're confused): - for a 45 45 90 triangle the sides are x, x, and x√2. - for a 30 60 90 triangle the sides are x, 2x, and x√3.

Since we know that LM is 20√3, using the 30 60 90 trick, you can see that LZ is 10√3 and MZ is 30.

Next, since LZ is 10 sqrt(3), using the 45 45 90 trick, <em>KL is 10√6</em> and KZ is 10 sqrt(3). Therefore, KM = KZ + MZ = <em>10√3 + 30</em>

<u>The answer: KL is 10√6, KM is 10√3 + 30</u>

(I'm sorry it's such a long explanation, pictures would have been better)

6 0

3 years ago

Rectangle M was dilated to form rectangle M’. What ratio is the scale factor?

Gemiola [76]

Solution:

we are given that

Rectangle M was dilated to form rectangle M’.

we have been asked to find

What ratio is the scale factor?

we can find the required ratio by dividing the corresponding sides of the given rectangles as below:

$Ratio=\frac{6}{4}=\frac{2}{4/3}\\ \\\\$

$Ratio=\frac{3}{2}=\frac{6}{4} \\ \\ \ Ratio=\frac{3}{2}=\frac{3}{2}\\$

Hence the required ratio is 3/2.

7 0

4 years ago

Which of the following statements shows the inverse property of addition?

Kaylis [27]

Answer:

$a+(-a)=0$

Step-by-step explanation:

Let $a\in \mathbb R$ , that is a be any real number.

The inverse property of addition says that, the sum of a number $a$ and its additive inverse $-a$ gives the identity element of addition which is zero.