How many different sums of money can be formed from penny and half a dollar?

The best way to determine how many tangent lines can be created is to actually draw the circle and point itself. Given circle and a point outside, extend lines going from the point to the circle where the line is tangent to the circle. From this, we can get only 2 tangent lines, nothing more. (See attached)

Answer:

2

Answer:

I think its 2

Step-by-step explanation:

Horizontal lines have a slope of zero because their y-value does not change regardless of the x-value, while vertical lines have an undefined slope because their x-value does not change, leading to division by zero. These lines have different equations compared to diagonal lines because they do not follow the general linear form y = mx + b.

The slope of a line represents its steepness and direction. For a horizontal line, the slope is zero because there is no change in the y-value no matter how much we move along the x-axis. In contrast, a vertical line will have an undefined slope because the run (change in x-value) is zero, and division by zero is not defined in mathematics.

Equations for horizontal and vertical lines differ from those of diagonal lines because they don't fit the general linear equation form y = mx + b, where m represents the slope and b represents the y-intercept. A horizontal line has an equation of the form y = b, indicating that y is constant and does not depend on x, while a vertical line has an equation of the form x = a, indicating that x is constant and does not depend on y.

Graphically, an increase in slope means the line gets steeper, while a decrease in slope means the line is flatter. Horizontal lines are the flattest possible with a slope of zero, while vertical lines are conceptually the steepest with an undefined slope.

Answer:

The correct answer is twelve.

Step-by-step explanation:

The values of a would make the expression 36, 49 and 81.

The correct options are b, c, and d.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

To factor the expression x² - a completely, we need to write it as a product of two binomials.

This can be done using the difference of squares formula, which states that a² - b² = (a + b)(a - b).

If we apply this formula to x² - a, we get:

x² - a = (x + sqrt(a))(x - sqrt(a))

This is a factorization of x² - a into two binomials, where the constant term a is represented by the square root of a.

For the expression x² - a to be completely factored, both factors must be irreducible (meaning they cannot be factored any further). This requires that a be a perfect square.

Out of the given options, 36, 49, and 81 are perfect squares.

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Answer:

The constant of variation is

-3/5

your welcome XD

The correct match is given below:-

2.64 gal-10 liters

0.14 cubic meters -5 cubic feet

5.35 cubic meters- 7 cubic yards

6.34 pints=3 liters

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units.

The correct match is given below:-

2.64 gal                      ⇒         10 liters

0.14 cubic meters      ⇒          5 cubic feet

5.35 cubic meters     ⇒         7 cubic yards

6.34 pints                   ⇒         3 liters

Hence, the unit conversion is all steps in a multi-step procedure.

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Answer:

Option B is correct.

value of b = -8

Step-by-step explanation:

Given the equation: [tex]x^2+bx+16= 0[/tex]

As per the condition: The only solution for the given equation is, x = 4.

Substitute this value of x =4 in given equation, to solve for b;

[tex](4)^2+b(4)+16= 0[/tex]

Simplify:

[tex]16+4b+16= 0[/tex]

or

[tex]32 + 4b= 0[/tex]  

Subtract 32 on both sides, we get;

32 + 4b -32 = 0-32

Simplify:

4b = -32

Divide both sides by 4 we get;

b = -8

therefore, the value of b = -8

Answer:20%

Step-by-step explanation:

250*20%=50

50+250=300

Answer:

20%

Step-by-step explanation:

The shadow of the 24-foot tree will be 9.6 feet.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Given that:-

The shadow of the 24-foot tree will be calculated as follows:-

[tex]\dfrac{40}{16}=\dfrac{24}{x}[/tex]

[tex]x = \dfrac{24\times 16}{40}[/tex]

x = 9.6

Therefore the shadow of the 24-foot tree will be 9.6 feet.

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Final answer:

To find the length of the shadow cast by a 24-foot tree, we use the proportion of a 40-foot tree's height to its 16-foot shadow. The resulting shadow length for the 24-foot tree calculated through cross-multiplication is 9.6 feet.

Explanation:

The length of the shadow cast by a 24-foot tree can be found using a simple proportion based on the shadow cast by a 40-foot tree. Since a 40-foot tree casts a 16-foot shadow, the ratio of the height of the tree to the length of its shadow is 40 to 16. This ratio should be the same for the 24-foot tree. To find the shadow length (x) of the 24-foot tree, we set up the proportion as follows:

40 feet (tree height) / 16 feet (shadow length) = 24 feet (tree height) / x feet (shadow length)

Solving for x gives us:

40 / 16 = 24 / x

40 * x = 24 * 16

x = (24 * 16) / 40

x = 384 / 40

x = 9.6 feet

Therefore, the shadow cast by a 24-foot tree would be 9.6 feet long.

Answer:  The required width of the rectangle is 7 cm.

Step-by-step explanation:  Given that a rectangle has perimeter 84 cm and length 35 cm.

We are to find the width of the rectangle.

Let w represents the width of the rectangle.

According to the given information,

length, l = 35 cm and perimeter, P = 84 cm.

Therefore, we get

[tex]P=2(l+b)\\\\\Rightarrow 84=2(35+w)\\\\\Rightarrow 42=35+w\\\\\Rightarrow w=42-35\\\\\Rightarrow w=7.[/tex]

Thus, the required width of the rectangle is 7 cm.

The reflection of points across Y and X axis will be equal to (-5, 9), (5, -9).

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image.

A line, called the line of reflection, will allow an image to reflect through it. Every element inside a figure is thought to reflect another figure when they are all equally spaced apart from one another.

As per the mentioned data in the question,

The given point is (5, 9).

Under the reflection in the y-axis, points are converted as,

(x, y) ⇒ (-x, y)

So,

(5, 9) ⇒ (-5, 9)

Under the reflection in the x-axis, points are converted as,

(x, y) ⇒ (x, -y)

So,

(5, 9) ⇒ (5, -9)

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all angle = 60 degrees

 so 2x-4 =60

2x=64

x = 64/2 = 32

x = 32

Answer:

The number written in standard form is [tex]131,480,000[/tex]

Step-by-step explanation:

we have

[tex]1.3148*10^8[/tex]

we know that

[tex]10^8=100,000,000[/tex]

substitute

[tex]1.3148*10^8=1.3148(100,000,000)[/tex]

Remember that

When multiplying decimals by 10, move the decimal point one space to the right

In this case move the decimal point eight spaces to the right

[tex]1.3148(100,000,000)=131,480,000[/tex]

therefore

The number written in standard form is [tex]131,480,000[/tex]

The difference of 405,000,000−1.7×108 2.35 2.35×1072.35×107 ​ 2.35×1082.35×108 ​ ​ 2.35×1092.35×109 ​ is -2,397,000,000.

Let's calculate the difference step by step:

1. 405,000,000 - 1.7 × 10^8

To perform this subtraction, we need to subtract the second number from the first:

405,000,000 - 170,000,000 = 235,000,000

2. 235,000,000 - 2.35 × 10^7

Similarly, we subtract the second number from the first:

235,000,000 - 23,500,000 = 211,500,000

3. 211,500,000 - 2.35 × 10^7

Once again, subtract the second number from the first:

211,500,000 - 23,500,000 = 188,000,000

4. 188,000,000 - 2.35 × 10^8

Perform the subtraction:

188,000,000 - 235,000,000 = -47,000,000

5. -47,000,000 - 2.35 × 10^9

Finally, subtract the second number from the first:

-47,000,000 - 2,350,000,000 = -2,397,000,000

So, the difference is -2,397,000,000.

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Answer:

D. Each has a slope of –3, but one has a y-intercept of 3 and the other has a y-intercept of –1, which makes the lines equivalent.

Step-by-step explanation:

If you look at the graph (Firstly), you can see that both lines look similar, which is one big hint to this question. But (secondly), like the other person said, both have equivalent y-intercepts in each problem. I saw an open spot for me to answer this so I took it UuU!

Also Just Realized This Is A Totally Diff Question On My Quiz, So The Question That Goes With This Answer Is "Consider the equations and graph below.

y = negative 3 (x minus 1). Y = negative 3 x minus 1

On a coordinate plane, 2 lines are parallel to each other.

Which explains why this system has no solution?"