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2 years ago

14

What is x^2 + 4x-3 =0 , solve by completing the square.

1 answer:

zhenek [66]2 years ago

5 0

The answer is x = -2 +- sqrt 7

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6w = 77 - 5w<br> What does w equal

Digiron [165]

Answer:

$w=7$

Step-by-step explanation:

$6w=77-5w$

Add $5w$ to both sides

$11w=77$

Divide both sides by 11

$w=7$

5 0

1 year ago

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0

3 years ago

Study the stem-and-leaf plot. How many cars get 8 miles per gallon?

RUDIKE [14]

Answer:

answer is O

Step-by-step explanation:

7 0

2 years ago

It costs $6 to take 1 dog to the beach. It costs $1 more for each additional dog. Which is the equation, when x=1?

Leni [432]

6+1x= 7 ::::::::::::::::::::::::::::::::::

6 0

3 years ago

Write the equation that describes the line with slope=2 and y-intercept=3/2 in slope intercept form

frez [133]

Answer:

y = 2x +3/2

Step-by-step explanation:

y = mx + b

m is the slope so

y = 2x + b

b is intercept so

y = 2x +3/2

6 0

2 years ago