What are the solutions to the quadratic equation x2-16=10 ​

Answer:

Step-by-step explanation:

Multiples of 5 5 , 10 , 15 , 20 , 25 , 30 , 35 , 40 , 45 , 50 , 55 , 60

Multiples of 6 6, 12, 18 , 24 , 30, 36 , 42 , 48, 54, 60

Common Multiples of 5 and 6 30 and 60

Answer:

Step-by-step explanation:

\(\dfrac{5*2}{6*2}= \dfrac{10}{12}\\\\ \dfrac{5*3}{6*3}= \dfrac{15}{18}\\\\\\ \dfrac{5*4}{6*4}= \dfrac{20}{24}\)

Answer:

Step-by-step explanation:

HOPE THIS HELPS’

PLZZ MARK BRAINLIEST

Answer:

112.5 square inches

Step-by-step explanation:

\(A(\triangle\: APB) = \frac{1}{2} \: {r}^{2} \sin \theta \\ \\ = \frac{1}{2} \times {(15)}^{2} \: \sin \: 90 \degree \\ \\ = \frac{1}{2} \times 225 \times 1 \\ \\ = \frac{225}{2} \\ \\ \bold{\purple{ A(\triangle\: APB) = 112.5 \: {inches}^{2} }}\)

Answer:

100

Step-by-step explanation:

60*2=120

10 seats taken up on 2 buses=20

120-20=100

Answer:

the last one (100) 60+60 equals120 10+ 10 equals 20 120-20 equals 100

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The probability that a point chosen at random lies on the shaded region is given as follows:

4/7.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The area of the shaded region in this problem is given as follows:

4² = 16.

The total area of the figure is given as follows:

16 + 2 x 1/2 x 3 x 4 = 28.

Hence the probability is given as follows:

16/28 = 4/7.

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Answer:

Answer is 12+(9÷y)

Hope this helps

Step-by-step explanation:

When using the slope-intercept form equation, we can determine that;

Since the slope and y-intercept are given, substitute the values into the equation.

Substitute:

\(y = 3x - 4\)

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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ANSWER

EXPLANATION

First we have to find the partial products by multiplying each term of the first polynomial by each term of the second polynomial:

Now the second term of the second polynomial:

And now we just have to add these partial products:

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

2c put me as brainlest

Step-by-step explanation:

Let's solve for c.

b=2c+6

Step 1: Flip the equation.

2c+6=b

Step 2: Add -6 to both sides.

2c+6+−6=b+−6

2c=b−6

Step 3: Divide both sides by 2.

2c

2

=

b−6

2

c=

1

2

b−3

Answer:

c=

1

2

b−3

now if ur just looking for the funtipn the asnwer would be 2c i think

Answer:

B. -6+8d-2c  C. -2c+8d-6

Step-by-step explanation:

In order to determine which expressions are equivalent to  you need to set the expression equal to the options available.

Answer:

Scallops

Step-by-step explanation:

Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

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Answer:

no

Step-by-step explanation:

if it's a prism then it wont have a square bottom

Answer:

\(1\frac{27}{100} \)

Step-by-step explanation:

127% = 100% + 27% = 100/100 + 27/100 = 1 + 27/100

27/100 cannot be written any simpler.

Therefore 127% = \(1\frac{27}{100} \) written as a mixed number

Answer:

142 ft square

Step-by-step explanation:

Face 1: 3(10)=30 ft square

Face 2: 4(10)=40 ft square

Front: 2(6)=12/2=6 ft square

Back: Same as front

bottom: 6(10)=60 ft square

Total: 30+40+6(2)+60=142 ft square

() means multiply in case don't know

Based on the given parameters, the length of c is 8.0 units

The given parameters are

Angle c = 76 degrees

Side a = 20

Side b = 13

The length of c is then calculated using the following law of sines

c^2 = a^2 + b^2 - 2absin(C)

Substitute the known values in the above equation

So, we have

c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)

Express 20^2 as 400

c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)

Express 13^2 as 169

c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)

Evaluate the product and sin(76)

c^2 = 400 + 169 - 520 * 0.9703

Evaluate the product

c^2 = 400 + 169 - 504.55

Evaluate the exponents

c^2 = 400 + 169 - 504.55

So, we have

c^2 = 64.45

Evaluate the square root

c = 8.0

Hence, the length of c is 8.0 units

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Answer:14

Step-by-step explanation:

Akigr sksjb82792?/ =x so that is ansewr

Answer:

\(\frac{2.54cm}{1in}\)

Step-by-step explanation:

Given

\(3.6m = 3.6m * \frac{100cm}{1m} * \frac{2.54cm}{1in} * \frac{1ft}{12in} * \frac{1yd}{3ft}\)

Required

Which ratio is incorrect

Each ratio is a conversion of 1 unit to the other.

Taking them one at a time.

The first is \(\frac{100cm}{1m}\)

\(1m = 100cm\) --- The ratio is correct

The next is: \(\frac{2.54cm}{1in}\)

\(2.54\ cm = 1\ in\)

The conversion is correct; however the ratio is incorrect.

This is so because, the first ratio (\(\frac{100cm}{1m}\)) has centimetre as the numerator

The next should have centimetre has its denominator in order to cancel out the units.

So, the correct ratio is:

\(\frac{1\ in}{2.54\ cm}\)

Answer:

Step-by-step explanation:

First, come up with expressions for both statements

Suri = 15x + 25

Juan = 14x +50

Secondly, come up with a solution for the expressions. Plug in values for x.

Suri = 15(x) + 25

Juan = 14(x) + 50

Lastly, make sure that both equations equal each other. If they do not, then select the answer according to the problem.

Yes,  It is possible for Suri and Juan to make the same amount of wages, which is y, by working the same number of hours, x, in one week. The amount of wage is $400 and working hours are 25.

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Given that,

Suri makes $15 per hour and gets a weekly bonus of $25.

Juan makes $14 per hour and gets a weekly bonus of $50.

Let y be the total wage earned by them in a week and x be the number of working hours.

The wage earned by Suri will be,

y = 15x + 25

The wage earned by Juan will be,

y  = 14x + 50

Now, solve the above equations to get the common value of x and y as,

Both values are equal so we can write is as,

15x + 25 = 14x + 50

x  = 25

y = 15x25 + 25

y = 400

Hence, Yes it is possible they can make the same amount of wages

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer: Bens brother is dead

Step-by-step explanation:

Sad,sad,sad

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

----------------------------------

Solve the equation:

Answer:

\( \sf \: d) \: x = 7\)

Step-by-step explanation:

Given equation,

→ -3 - (-8) - (-2) = x

Now the value of x will be,

→ -3 - (-8) - (-2) = x

→ x = -3 - (-8) - (-2)

→ x = -3 + 8 + 2

→ x = 5 + 2

→ [ x = 7 ]

Hence, the value of x is 7.

Answer:

6w + 5 = 32/w

Step-by-step explanation:

6 times w = 6w

add 5 = 6w + 5

quotient = division = 32/w

Answer:

\(\cos(T)\) =\(\frac{\sqrt{15}}{5}\)

Step-by-step explanation:

Given parameters.

\(TU = 4\sqrt 5\)

\(SU = 4\sqrt 2\)

\(ST = 4\sqrt 3\)

Required

Determine \(\cos(T)\)

Reference to \(\angle T\), we have:

\(Opposite = 4\sqrt 2\)

\(Adjacent = 4\sqrt 3\)

\(Hypotenuse = 4\sqrt 5\)

Apply trigonometry ratio of cosine

\(\cos(T)\) \(= \frac{Adjacent}{Hypotenuse}\)

Substitute values for Adjacent and Hypotenuse

\(\cos(T)\) \(= \frac{4\sqrt 3}{4\sqrt 5}\)

\(\cos(T)\) \(= \frac{\sqrt 3}{\sqrt 5}\)

Rationalize:

\(\cos(T)\) \(= \frac{\sqrt 3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}\)

\(\cos(T)\) =\(\frac{\sqrt{15}}{5}\)