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2 years ago

What are the solution(s) to the quadratic equation 40 − x2 = 0?

Mathematics

2 answers:

alina1380 [7]2 years ago

8 0

Answer:

$x=+2\sqrt{10}$

$x=-2\sqrt{10}$

Step-by-step explanation:

$40-x^2=0$

To solve for x , subtract 40 from both sides

$-40+40-x^2=0-40$

$-x^2=-40$

Divide both sides by -1

$x^2= 40$

Take square root on both sides

$\sqrt{x^2} =\sqrt{40}$

$x=+-2\sqrt{10}$

The values of x are

$x=+2\sqrt{10}$

$x=-2\sqrt{10}$

Anni [7]2 years ago

4 0

X = 20
First, you move the 40 to the other side.
-2x=-40
Then, you divided -40 by -2.
x= -40/-2
x= 20
x is 20 because the negatives cancel out making it positive.

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Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. What is t

drek231 [11]

Answer:

$P(1\ and\ 2) = 0.3309$

Step-by-step explanation:

Given

$Red = 3$

$Blue = 4$

$Orange=10$

Required

Probability of selecting 2 orange marbles

The total number of marbles is:

$Total = Red + Blue + Orange$

$Total = 3 + 4 + 10$

$Total = 17$

The probability that the first selection is orange is:

$P(1) = \frac{10}{17}$

Because it is a selection without replacement, the number of orange marbles and the total number of marbles would decrease by 1, respectively.

So, the probability that the selection is orange is:

$P(2) = \frac{10-1}{17-1}$

$P(2) = \frac{9}{16}$

The required probability is:

$P(1\ and\ 2) = P(1) * P(2)$

$P(1\ and\ 2) = \frac{10}{17} * \frac{9}{16}$

$P(1\ and\ 2) = \frac{10*9}{17*16}$

$P(1\ and\ 2) = \frac{90}{272}$

$P(1\ and\ 2) = 0.3309$

7 0

2 years ago

Jane buys \dfrac73 \text { yard} 3 7 yardstart fraction, 7, divided by, 3, end fraction, start text, space, y, a, r, d, end te

Vadim26 [7]

The correct question is:

Jane buys 7/3 yards of fabric to make a cat bed. She starts the project by cutting 4 feet of fabric off the end. How many feet long is the remaining piece of fabric?

Answer:

There are 3 feet remaining.

Step-by-step explanation:

Jane cuts 4 feet from 7/3 yards, to know how many feet long yard is remaining, first we need to know how many feet make a yard, convert 7/3 yards to feet, and find the difference between the feet cut and the total feet available.

3 feet = 1 yard

x feet = 7/3 yards

3 × 7/3 = x × 1

x = 7

Therefore, 7 feet is 7/3 yards.

Now, she cuts 4 feet, do we have

(7 - 4 = 3) feet remaining.

Therefore, there are 3 feet remaining.

6 0

2 years ago

In the diagram, polygon ABCD is flipped over a line of reflection to make a polygon with vertices at A′, B′, C′, and D′. Points

DIA [1.3K]

<span>if point A( 2,2) is reflected across the line Y then the new position A' is (-2,2) and the distance AY = distance A'Y if A is reflected across line R it is now at point B and the distance AR = distance BR lets say the point A(2,2) was perpendicular to the line R at the point (1, 4) then when reflected the point A now at location B will have coordinates</span><span>when flipped over a line of reflection the lengths are still the same the point to the line of reflection is the same length as the line of reflection to the reflected position the distance from the original point to the reflected point is twice the distance from the original point to the line of reflection cannot see your polygon. here is an example

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7 0

2 years ago

Decide, without calculation, if each of the integrals below are positive, negative, or zero. Let D be the region inside the unit

Schach [20]

The integrals over B and T will be positive. Keeping $y$ fixed, $xe^x$ is strictly increasing over D as $x$ increases, so the integrals over $x$ (i.e. the bottom/top left quadrants of D) is negative but the integrals over $x>0$ are *more* positive.

The integrals over R and L are zero. If we take $f(x,y)=xe^x$ , then $f(x,-y)=f(x,y)$ , which is to say $f$ is symmetric across the $x$ -axis. For the same reason, the integral over all of D is also zero.

4 0

2 years ago

15) Bob has 12 black pen, 14 red pen, 15 green pens, 24 blue pens and 3 boxes of

cricket20 [7]

Answer:

13, 16, 18

Step-by-step explanation:

Sabemos que podemos calcular el total de plumas amarillos, por medio de la media.

16 = (12 + 14 + 15 + 24 + x + y + z) / 7

16 * 7 = 12 + 14 + 15 + 24 + x + y + z

112 = 65 + x + y + z

x + y + z = 112-65

x + y + z = 47

sabemos que la mediana es el valor medio, y que ese 46 debe dividirse entre 3 valores porque son 3 cajas, entonces debemos buscar los números adecuados para el valor 15 esté en la mitad, es decir de cuarto.

Sin meter los valores nuevos, el ranking sería así:

el 15 esta de tercero, para que quede de cuarto, debe tener dos valores por debajo y un por arriba, así:

Por lo tanto, valores mayores a 15 serían por ejemplo y = 16 y z = 18:

16 + 18 = 34

x = 47-34 = 13

quedaría:

dieciséis

18 años

Si recalculamos la media:

m = (12 + 14 + 15 + 24 + 13 + 16 + 18) / 7 = 16

8 0

2 years ago