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marysya [2.9K]
3 years ago
13

Solve 5x^2 + 16 = 10 by using the quadratic formulaax^2 + bx + c = 0

Mathematics
1 answer:
bagirrra123 [75]3 years ago
5 0
2 Imaginary Solutions
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Bob the archaeologist is in the desert, 10 km from a long, straight road and 45 km from base camp. The base camp is also 10 km f
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Answer: Bob can make it to base camp in about 1.6 hours.

If I am understanding the problem correct, Bob must drive 10 km to get to the road through the desert. Then, 45 km on the road. And finally, another 10 km off the road to get to the base camp.

We end to find the time for each section of the trip.

Start with the formula: d = rt or t = d/r

Now, we can divide to determine the amount of time for each section.

1) 10 / 30 = 0.333 hours
2) 45/50 = 0.9 hours
3) 10/30 = 0.333 hours

Add up all the times, and you get about 1.6 hours.
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Step-by-step explanation:

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In a triangle XYZ, AB is a midsegment. Find the length of AB.
hammer [34]

Answer:

Option A. AB=25\ units

Step-by-step explanation:

step 1

Find the value of x

we know that

If AB is a mid-segment, then AB is parallel to YZ

so

Triangles AXB and YXZ are similar by AA Similarity Theorem

Remember  that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

\frac{YZ}{AB}=\frac{YX}{AX}

we have that

AB=\frac{1}{2}YZ ----> by Midpoint Theorem

YZ=2AB

substitute the given values in the expression above

\frac{2AB}{AB}=\frac{22+2x+2}{2x+2}

solve for x

2=\frac{24+2x}{2x+2}

Multiply by (2x+2) both sides

4x+4=2x+24

Group terms

4x-2x=24-4

2x=20

x=10

step 2

Find the length of AB

AB=3x-5

substitute the value of x

AB=3(10)-5=25\ units

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