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4 years ago

Which are the solutions of x2 = –11x + 4?

Mathematics

2 answers:

Iteru [2.4K]4 years ago

8 0

Answer:

If your on edu the simple answer is A

Step-by-step explanation:

irga5000 [103]4 years ago

3 0

Add 11x and complete the square
.. x^2 +11x = 4
.. x^2 +11x +5.5^2 = 4 +5.5^2
.. (x +5.5)^2 = 34.25
.. x = -5.5 ±√34.25
.. x ≈ {-11.35235, 0.35235}

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A hot-air balloon is 160 ftabove the ground when a motorcycle (traveling in a straight line on a horizontal road) passes dire

Charra [1.4K]

Answer:

73.77 ft/s

Step-by-step explanation:

Let's imagine this situation as a right triangle where the distance between the two points is the hypotenuse.

-Applying Pythagoras theorem:

$z^2=x^2+y^2\\\\z=\sqrt{x^2+y^2}\\\\x=dx*t+x_i, x_i=0\\\\y=dy*t+y_i\\\\y_i=160\ ft$

#Take the derivative of the first equation and solve for $dz$ :

$d(z^2=x^2+y^2)\\\\2z*dz=2x*dx+2y*dy\\\\dz=\frac{x*dx+y*dy}{z}\\\\dz=\frac{x*dx+y*dy}{\sqrt{x^2+y^2}}\\\\\\dz=\frac{dx^2*t+dy(dy*t+160)}{\sqrt{(dx*t)^2+(dy*t)}}$

#We then substitute the values given in the question to solve for $dz$ :

$dz=\frac{7*66^2+14(14*7+160)}{\sqrt{(66*7)^2+7*14+160}}\\\\=73.78$

Hence, the rate of change of the distance between the motorcycle and the balloon 7 seconds later is 73.77 ft/s

3 0

4 years ago

What is the x-and y-intercept of the graph 4x -5y =40??

umka21 [38]

Answer:

x-intercept = 10

y-intercept = -8

Step-by-step explanation:

$4x-5y=40$

To identify the y-intercept, we will need to format the equation in the form $y=mx+b$ . We can start by subtracting $4x$ from both sides of the equation:

$-5y=-4x+40$

Divide both sides of the equation by the coefficient of $y$ , which is $-5$ :

$y=\frac{-4}{-5} x - 8$

The $b$ is representative of the y-intercept in $y=mx+b$ .

Identify $b$ in the equation $y=\frac{-4}{-5} x - 8$ :

$b=-8$

Therefore, our y-intercept is -8.

To solve for the x-intercept, replace the $y$ in the equation $y=\frac{-4}{-5} x - 8$ with a zero:

$0=\frac{-4}{-5} x - 8$

Add $8$ to both sides of the equation:

$8=\frac{-4}{-5} x$

You can go ahead and divide $-4$ by $-5$ to get rid of the fraction:

$8=0.8x$

Divide both sides of the equation by the coefficient of $x$ , which is $0.8$ :

$10=x$

Therefore, our x-intercept is 10.

8 0

3 years ago

Which of the following is an example of inverse operations?

kkurt [141]

Answer:

12^2 and 12/3

Step-by-step explanation:

Examples of inverse operations are: addition and subtraction; multiplication and division; and squares and square roots.

4 0

3 years ago

Read 2 more answers

Use the points A (4,4) and B(4,-5). Complete the description of segment AB and find its length.

Scrat [10]

Use the points A(4, 4) and B(4, −5)

(1) (a) From two points , we will get a vertical line when 'x' values are same and horizontal line segment when 'y' values are same

Here in A(4, 4) and B(4, −5) , the x values are same so the segment AB is a Vertical . The length is the difference between y values ( 4 -(-5)) = 9

Segment AB is a Vertical segment that is 9 units long.

(2) Describe the image of segment AB under the transformation

(x, y) ----> (x, 2y)

A(4, 4) -----> (4, 8)

and B(4, −5) ---> (4, -10)

'x' values are same so line AB is Vertical. The length is the difference between y values ( 8 -(-10)) = 18

The image of segment AB is a Vertical segment that is 18 units long.

(3) Describe the image of segment AB under the transformation

(x, y) ----> (x + 2, y)

A(4, 4) -----> (6, 4)

and B(4, −5) ---> (6, -5)

'x' values are same so line AB is Vertical. The length is the difference between y values ( 4 -(-5)) = 9

The image of AB is a Vertical segment

2 units to the right of the original segment that is

9 units long.

5 0

3 years ago

Read 2 more answers

What is an algebraic expression for 'two thirds of a number (d) to the third power' ?

horrorfan [7]

It is (2/3d)^3
Make sure the exponent is on the outside. This is because you are raising 2/3d. Not just D

5 0

3 years ago

Read 2 more answers