Triangle ABC ~ Triangle DEF. Find the length of median FQ. Show how to solve. 25 points

Mathematics

1 answer:

Delvig [45]3 years ago

7 0

Step-by-step explanation:

How to find the sides of a right triangle

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

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An airplane travels 60 mph faster from Atlanta to Fort Lauderdale than it travels on the return trip from Fort Lauderdale to Atl

vitfil [10]

<span>Atlanta to Fort Lauderdale = 300mph
</span><span>Fort Lauderdale to Atlanta= 240mph
</span>
In this case, the plane is going for 2 trips with same distance(distance1 = distance2), but different velocity (v1= v2+60mph). Then to answer this question, the formula would be:

distance1 = distance2
v1 * t1= v2* t2
v1 * 2h = v2* 2.5h
2(v2+60)= 2.5 v2
2.5 v2 - 2 v2 = 120
0.5 v2= 120
v2= 240

Then, to find v1
v1 = v2+60
v1= 240+60=300

7 0

4 years ago

Use synthetic division to solve (2x3+4x2 – 35x+15) +(x-3). What is the quotient?

lesya692 [45]

Given:

$(2x^3+4x^2-35x+15)\div (x-3)$

To find:

The quotient by using the synthetic division.

Solution:

We have,

$(2x^3+4x^2-35x+15)\div (x-3)$

Here,

Dividend = $(2x^3+4x^2-35x+15)$

Divisor = $x-3$

The coefficient of dividend are $2, 4, -35, 15$ . Write the coefficients of the dividend on the top row and we need to use 3 as divisor for synthetic division. The synthetic division is show below:

$3 | 2\quad \quad 4\quad \quad -35\quad \quad 15\\\quad{}\quad{} \quad \quad \ 6\quad \quad \ \ \ 30\quad -15\\\overline{\quad 2\quad \quad 10\quad \quad -5\quad \quad 0\ \ \ }$