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2 years ago

ΔDEF is similar to ΔABC as shown below, and x represents the length of segment EF.

Mathematics

1 answer:

Marysya12 [62]2 years ago

4 0

Explaining- when you look at the vertex to the other vertex you see the length and that is when you multiply

Answer- A

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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

Note that $\frac{(x+1)}{(x+1)}=1$ only if $x \neq -1$

So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

3 0

3 years ago

Can you please help me with this

erastova [34]

Well there are no specific numbers, but the area of a rectangle is the length x the width, and the width is the area ÷ the length.

7 0

3 years ago

The points (15, 18) and (35,42) form a proportional relationship. Find the slope of the line through the points. Then use t

Ann [662]

Answer:

6/5

Step-by-step explanation:

(42-18) / (35 - 15) = 24 / 20 = 6 / 5

8 0

3 years ago

To rent a canoe costs $15 for the first hour and $12 for each additional hour or fraction of an hour. Which point is NOT include

pogonyaev

Answer:

Step-by-step explanation:

(2.5,39)

8 0

3 years ago

The slope-intercept form of the equation of a line that passes through point (–2, –13) is y = 5x – 3. What is the point-slope fo

ser-zykov [4K]

Point slope form: $y-y₁=5(x-x₁)$

$y+13=5(x+2)$

6 0

3 years ago