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2 years ago

PLEASE PLEASE PLEASE HELP FAST!!!!!!!!!! WILL REPORT ANY TROLLS

Mathematics

2 answers:

7nadin3 [17]2 years ago

7 0

Answer:

C. 1

Step-by-step explanation:

Given

ΔABC with
Slope of AB = -1
∠ABC = 90°

This means that AB⊥BC

The dilation doesn't affect the shape of the triangle, therefore:

A'B' has slope of -1
B'C' ⊥ A'B'

Perpendicular lines have negative reciprocal slopes. In other words the product of the slopes is - 1.

Let the slope of B'C' is x, then:

-1*x = -1
x = 1

Correct option is C

worty [1.4K]2 years ago

6 0

Answer:

i think its 1.5 im not sure tho 1.5 sounds the best

Step-by-step explanation:

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Solve for x if EF = 2x + 7 and FG = 7x –9 help please I'll give brainliest

s2008m [1.1K]

Answer:

x = 3.2

Step-by-step explanation:

Since, intercepts made by parallel lines on the transversals are in proportion.

$\therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)$

AB = BC.... (given)

$\implies \frac{AB}{BC} = 1..... (2)$

From equations (1) & (2)

$1 =\frac{EF}{FG}$

${FG}={EF}$

Therefore,

7x - 9 = 2x + 7

7x - 2x = 9 + 7

5x = 16

x = 16/5

x = 3.2

7 0

3 years ago

I am confused. The entire question is in the picture.

a_sh-v [17]

Well yes, but it’s in order. The picture will help you solve the questions, the questions are listed in a order so in order to get one question right you have to solve for another question. Like do question 1 before 2 , go in order

8 0

3 years ago

Factor the expression.HELP ASAP Plz 20 PIONTS 20k + 50

Ymorist [56]

Answer:

we are given with two terms: 20 k and 50. In this case, we are asked in the problem to factor the two terms forming the expression. The common factor of 20k and 50 is 10 because the two terms are divisible by it. The answer hence is 10*(2k +5)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Calculus piecewise function.

Kipish [7]

Part A

The notation $\lim_{x \to 2^{+}}f(x)$ means that we're approaching x = 2 from the right hand side (aka positive side). This is known as a right hand limit.

So we could start at say x = 2.5 and get closer to 2 by getting to x = 2.4 then to x = 2.3 then 2.2, 2.1, 2.01, 2.001, etc

We don't actually arrive at x = 2 itself. We simply move closer and closer.

Since we're on the positive or right hand side of 2, this means we go with the rule involving x > 2

Therefore f(x) = (x/2) + 1

Plug in x = 2 to find that...

f(x) = (x/2) + 1

f(2) = (2/2) + 1

f(2) = 2

This shows $\lim_{x \to 2^{+}}f(x) = 2$

Then for the left hand limit $\lim_{x \to 2^{-}}f(x)$ , we'll involve x < 2 and we go for the first piece. So,

f(x) = 3-x

f(2) = 3-2

f(2) = 1

Therefore, $\lim_{x \to 2^{-}}f(x) = 1$

===============================================================

Part B

Because $\lim_{x \to 2^{+}}f(x) \ne \lim_{x \to 2^{-}}f(x)$ this means that the limit $\lim_{x \to 2}f(x)$ does not exist.

If you are a visual learner, check out the graph below of the piecewise function. Notice the gap or disconnect at x = 2. This can be thought of as two roads that are disconnected. There's no way for a car to go from one road to the other. Because of this disconnect, the limit doesn't exist at x = 2.

===============================================================

Part C

You'll follow the same type of steps shown in part A.

However, keep in mind that x = 4 is above x = 2, so we'll deal with x > 2 only.

So you'd only involve the second piece f(x) = (x/2) + 1

You should find that f(4) = 3, and that both left and right hand limits equal this value. The left and right hand limits approach the same y value. The limit does exist here. There are no gaps to worry about when x = 4.

===============================================================

Part D

As mentioned earlier, since $\lim_{x \to 4^{+}}f(x) = \lim_{x \to 4^{-}}f(x) = 3$ , this means the limit $\lim_{x \to 4}f(x)$ does exist and it's equal to 3.