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svetoff [14.1K]

3 years ago

14

√a=-2 find the extraneous solution

1 answer:

Hunter-Best [27]3 years ago

6 0

A=4 because √a=-2 the you square each side to make it a=4.

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Given: △ABC, m∠C=90° m∠ABC=30°, AL ∠ bisector CL=6 ft. Find: LB

vlada-n [284]

For a better understanding of the solution given here please go through the diagram in the file attached.

To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."

Thus, in our question, we will have:

$\frac{LB}{CL}= \frac{AB}{AC}$

The above equation can be rearranged as:

$LB=CL\times \frac{AB}{AC}=\frac{CL}{(\frac{AC}{AB})}$ ...(Equation 1)

If we have a proper look at the denominator which is $\frac{AC}{AB}$ , we note that in $\Delta ABC$ , $\frac{AC}{AB}=Sin(\angle ABC)=Sin(30^\circ)$

Thus, (Equation 1) wil give us:

$LB=\frac{CL}{Sin(30^\circ)} =\frac{6}{0.5}=12$

<u>Therefore, LB= 12 feet</u>

3 0

3 years ago

Find P on AB that is 2/3 of the distance from A(-3,-5) to B(9,4).

Ludmilka [50]

A line segment can be divided into ratios.

<em>The coordinate of P on line segment AB is (5,1)</em>

Given

$A = (-3,-5)$

$B = (9,4)$

The position of P from A to B is:

$P_A = \frac 23$

So, from P to B would be:

$P_B =1 - \frac 23$

$P_B = \frac 13$

So, the ratio is:

$m : n = \frac 23 : \frac 13$

Simplify

$m : n = 2 :1$

<u>The coordinate of point P is:</u>

$P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

So, we have:

$P = (\frac{2 \times 9 + 1 \times -3}{2 + 1},\frac{2 \times 4 + 1 \times -5}{2 + 1})$

$P = (\frac{15}{3},\frac{3}{3})$

$P = (5,1)$

<em>Hence, the coordinate of P is (5,1)</em>

Read more about line ratios at:

brainly.com/question/8847082

8 0

2 years ago

32. Which of the following is horizontal ellipse

maria [59]

Answer:

b. 16x² + 25y² = 1

Step-by-step explanation:

Only one of them has a < b in ax² + by² = c formula, making its graph horizontal

All the rest are vertical, see attached

6 0

3 years ago

Find the length of the base indicated for each trapezoid

evablogger [386]

Explain why dosea mountain climber needs an oxygen supply at very high altitude even through the air still contains 21% oxygen

5 0

2 years ago

What's one fifth of 45

pishuonlain [190]

1 /5 = 0 . 2
45 * . 2 = 9
Hope this helped :)

3 0

3 years ago

Read 2 more answers