HELP ASAP MARKING BRAINLEST

use the diagram to write the standard equation of the circle.

Range is the biggest number minus the smallest from the list.

R = 16 - 4

R = 12

The range is 12.

Final answer:

The equation y = -x² - 2x + 3 can be expressed in vertex form as y = -(x + 1)² + 4.

Explanation:

The equation y = -x² - 2x + 3 can be expressed in vertex form as:

y = -(x + 1)² + 4

To convert the equation to vertex form, we need to complete the square. Here are the steps:

Factor out a common negative from the first two terms: y = -1(x² + 2x) + 3

Take half the coefficient of x (-2/2 = -1) and square it: (-1)² = 1

Add the squared value inside the parentheses and subtract it outside: y = -(x² + 2x + 1) + 3 - 1

Simplify: y = -(x + 1)² + 2

The vertex form of the equation is y = -(x + 1)² + 4.

Answer: A) y = -4

Step-by-step explanation:

The midline is usually at y = 0.  In the given equation, the graph is shifted down 4 units so the new midline is at -4.

Answer:

m = 1/3

Step-by-step explanation:

When you multiply by a fraction it's actually dividing.

:)

The variable m equals 1/3 for the equation 2 = 6m obtained by dividing both sides by 6.

The given equation is 2=6m.

m is the variable in the equation.

To determine the value of m in the equation 2 = 6m, we need to isolate the variable m.

Divide both sides of the equation by 6:

2/6 = (6m)/6

1/3 = m

Therefore, m equals 1/3.

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The answer is (-3,2) because when it’s present in the graph the graph would not pass the vertical line test.

Another way to think about it is that -3 (input) has more than one output.

Answer:

The answer is (-3, 2)

Step-by-step explanation:

Let's define the two sets

A = {4, -3, 3, 1} and B = {-2, 2, 4, 1 -3}, so that the set of ordered pairs is a function , we should have that to every element from the first set (in this case A) corresponds (or is associate to) an element (and only one element) from the second set (in this case B). But we have that the element -3 in the set A (the domain) is related to the elements 2 and -3 which belong to the set B (the codomain), this in not allowed by the definition of function. So in order to the set of ordered pairs is a function we should remove the pair (-3, 2).

Answer:

7

Step-by-step explanation:

Since the triangle is right we can use the cosine ratio to find IR

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{IR}{TR}[/tex] = [tex]\frac{IR}{14}[/tex]

Cross- multiply

IR = 14 × cos60° = 14 × 0.5 = 7

Answer:

x = 11

Step-by-step explanation:

Given the 2 equations

y = [tex]\frac{1}{4}[/tex] x → (1)

5x - 8y = 33 → (2)

Substitute y = [tex]\frac{1}{4}[/tex] x into (2)

5x - 8( [tex]\frac{1}{4}[/tex]x ) = 33

5x - 2x = 33

3x = 33 ( divide both sides by 3 )

x = 11

Answer:

11

Step-by-step explanation:

Given that ,

⇒ y = 1/4x and

⇒ 5x - 8y = 33

We can write 1st equation as ,

⇒ 4y = x

Put x = 4y in 2nd Equation ,

⇒ 5*4y - 8y = 33

⇒ 20y - 8y = 33

⇒ 12y = 33

⇒ y = 33/12

Put this in 1st ,

⇒ 33/12 = 1/4 x

⇒ x = 33/12 × 4

⇒ x = 33/3

⇒ x = 11 .

Answer:

Option A

Step-by-step explanation:

The parent function [tex]y=x^2[/tex] has a minimum [tex](0,0)[/tex].

If we map [tex]x\mapsto x-1[/tex] we get [tex]y=(x-1)^2[/tex]. This is a horizontally translated copy of the parent function, so the minimum is still 0.

Then if we map [tex]f(x)\mapsto f(x)-4[/tex] we have [tex]y=(x-1)^2-4[/tex]

This is a vertical translation 4 units down, so now the minimum is -4, which appears in the equation.

The required equation which includes the minimum or maximum of f is given as f(x) = (x - 1)² - 4. Option A is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,

First of all, all the function mentioned does not have a maximum,  but have the same minimum, at (1, -4).
But, as of the appearance equation f(x) = (x - 1)² - 4 includes the minimum. because when terminating x it gives minimum y and when terminating it gives x minimum.

Thus, The required equation which includes the minimum or maximum of f is given as f(x) = (x - 1)² - 4. Option A is correct.

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Answer:

y = -1/2 x + 1

Step-by-step explanation:

Lines that are perpendicular to each other have slopes that are negative reciprocals. You get the negative reciprocal of a number by flipping the fraction for the slope, then changing the positive/negative.

The lines are written in slope-intercept form, y = mx + b.

"x" and "y" are points on the line.

"m" is the slope.

"b" is the y-intercept.

In y = 2x + 8, the slope is 2. Find its negative reciprocal.

Write the slope as a fraction.

[tex]m=2=\frac{2}{1}[/tex]

Flip the fraction.

[tex]m=\frac{1}{2}[/tex]

Change the negative/positive.

[tex]m=-\frac{1}{2}[/tex]    This is the slope of the perpendicular line.

Now we need to find the y-intercept, "b", for our line. We know m = -1/2, and we know a random point (6, -2). Points are written (x, y), which mean x = 6 and y = -2. Substitute the values of the point and the slope into y = mx + b.

[tex]y = mx + b[/tex]

[tex]-2 = -\frac{1}{2}*6 + b[/tex]      Multiply (-1/2)(6) by combining into the numerator

[tex]-2 = -\frac{6*1}{2} + b[/tex]      Simplify numerator

[tex]-2 = -\frac{6}{2} + b[/tex]       Reduce fraction

[tex]-2 = -3 + b[/tex]         Isolate "b" now

[tex]-2 + 3 = -3 + b + 3[/tex]      Add 3 to both sides

[tex]1 = b[/tex]        Solved for "b"

[tex]b=1[/tex]         Write the variable on the left side for standard formatting

b = 1 and m = -1/2

Substitute them into slope-intercept form for the final answer.

y = -1/2 x + 1

To find the equation of a line perpendicular to a given line and passing through a specific point, use the negative reciprocal of the original line's slope. Applying this to the point-slope form of the line equation gives y = -(1/2)x + 1, which is the correct answer as per the given options.

The subject of the question is about writing the equation of a line that is perpendicular to another line, specifically y = 2x + 8, and passes through a specific point (6, -2). The concept involved here is the slope of the lines. The slope of a line perpendicular to another is the negative reciprocal of the original line's slope. Since the slope of our given line is 2, the slope of the line that is perpendicular to this would be -1/2.

Using the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the point through which the line passes, we can substitute m = -1/2 and (x1, y1) = (6, -2). Therefore, the equation of the line is y = -(1/2)x + 1.

The correct answer from the given options is (D) y = -(1/2)x + 1.

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Answer:

80

Step-by-step explanation:

The measure of a triangle is 180.

Answer: The answer to your question is 80

Step-by-step explanation: The first thing you do is set up your problem to find the side measure of bac, which is an angle they are looking for. The problem would look like this:

180-50+50

180-100

=80 degrees

h= k/j

Multiply by j for the left and right hand side

(h)(j)= k/j(j)

Cross out j and j for the right hand side.

hj= k

answer is : k= hj

I think this is the answer

ANSWER

[tex]k = hj[/tex]

EXPLANATION

The given formula is:

[tex]h = \frac{k}{j} [/tex]

We want to solve this formula for k.

Let us multiply both sides by j.

[tex]h \times j = \frac{k}{j} \times j[/tex]

Cancel the common factors.

[tex]hj = k[/tex]

Or we rewrite to obtain,

[tex]k = hj[/tex]

k is now isolated on one side of the equation.

Answer:

9

Step-by-step explanation:

Answer: Associative property of addition.

Step-by-step explanation:

The rule for the Associative property of addition is:

[tex]a + (b + c) = (a + b) + c[/tex]

Therefore, this property establishes that it does not matter how you group the numbers, the sum will not change.

You can observe that, in this case, the numbers of the given addition can be grouped as [tex]6 + (14 + 70)[/tex] or [tex](6 + 14) + 70[/tex], and the sum will be the same.

Then, you get:

[tex]6 + (14 + 70) = (6 + 14) + 70 = 20 + 70 = 90[/tex]

Area is calculated by multiplication of dimensions:

length×width= Area

both are lesser than 1, let's say 0.5 and 0.9 as examples.

0.5×0.5=0.25

0.9×0.9=0.81

you see the area is less than one and area can never be negative so first answer is the right answer.

The correct statement is option a. The area is between 0 square units and 1 square units

Any 2-diamensional figure bounded by 4 sides in which opposite sides are equal and parallel and all the 4 angles are right angled.

Now,   0 unit<length<1 unit

           0 unit<width<1 unit

∴ Area of the rectangle = (length x width)

⇒ 0 square units <Area of the rectangle <1 square units

∴ The area  of the rectangle is between 0 square units and 1 square units

The first option matches with the answer.

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Answer:

(2,-2)

(10,-10)

(2,-9)

(7,-10)

Step-by-step explanation:

The given point is (2,-10)

This point is in the fourth quadrant.

To be able to use the number line to find the distance between this point , (2,-10) and another point in the fourth quadrant, the second point must have the same x-coordinate with this point or the same y-coordinate with this point.

Answer:

A

B

D

E

Step-by-step explanation:

simple stuff i know

To solve for the vertical angles, we set up the equation 2y = y + 130. Solving for y gives us 130, and substituting back, we get each angle measures 260 degrees, which is reasonable since vertical angles are equal.

Two angles are vertical angles, which means they are opposite each other when two lines intersect and they are equal in measure. The problem states that one angle is 2y and the other is y + 130. Since vertical angles are equal, we can set up the equation 2y = y + 130.

Now, we solve for y:

To check if the answer is reasonable, we can note that vertical angles must be equal, and both our calculated angles are 260 degrees, confirming they are equal and thus reasonable.

Answer:

B

Step-by-step explanation:

So, we know that this inequality has an "at most" in its phrase, therefore signifying the sign x ≤ 5. Since the x is in the left side without any negatives, so the arrow goes left, and the circle is filled. So, B.

Answer: D or 36 just answered on apex

Step-by-step explanation:

To find the constant in an equation with a graph, examine the graph's features such as slope, intercept, or specific data points and compare them with theoretical constants provided, like k1, k2, k3, k4, and K3.

The value of the constant in the equation being discussed is related to graphing functions and the characteristics of lines and curves on a graph. In general, when determining a constant from a graph in mathematics, it is essential to look at certain features such as the slope, the intercept, or specific data points depending on the context of the problem. For instance, if we are trying to find a constant of proportionality (k), we might use a linear fit of data points to determine the slope, which then gives us the value of k. Similarly, other constants may be deduced by comparing the theoretical values with the actual data points on the graph.

To determine the value of a constant such as k in a force (F) versus displacement (x) graph, one would label the transition region of the graph and use the given constants (e.g., k1, k2, k3, k4, K3) to measure the force. The slope (m) of the line on the graph is representative of how the value changes along the graph and is calculated using the change in y over the change in x. In situations where the graph does not display a constant force, the value may be represented by the area under the force versus distance graph.

(e) is the homogeneous mixture

Answer:

it is E

Step-by-step explanation:

Just finished the test

Answer:

[tex]\frac{463}{3}[/tex]

Step-by-step explanation:

The given geometric series is:

243-162+108.....+64/3

The first term is [tex]a=243[/tex].

The common ratio is:

[tex]r=\frac{-162}{243}=-\frac{2}{3}[/tex]

The sequence is finite, so we can generate all the terms by repeatedly multiplying by the common ratio until we get to the last term.

The complete series is

243-162+108-72+48-32+64/3

The sum is:

[tex]243+108+48+64/3-162-72-32=\frac{463}{3}[/tex]

Answer:

350

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

First, do 7 x 5

7 x 5 is 35

Now just add a zero to the end to get 350

I hope this helps! :)

Answer:

1/7

Step-by-step explanation:

Answer: -1/7

Step-by-step explanation: Since the fractions have the same denominator you can add them together without trying to have to change it

Answer:

Step-by-step explanation:

The answer is 1.5 ft i just took the test

Answer:

The correct option is 4.

Step-by-step explanation:

The volume of a cylinder is

[tex]V=\pi r^2h[/tex]

where, r is radius of the base and h is height of the cylinder.

It is given that the radius of the cylindrical sandbox is 2 ft and the volume of cylindrical sandbox is 18.84.

[tex]18.84=(3.14)\times (2)^2\times h[/tex]        [tex][\because \pi=3.14][/tex]

[tex]18.84=(3.14)\times 4\times h[/tex]

[tex]18.84=12.56\times h[/tex]

[tex]\frac{18.84}{12.56}=h[/tex]

[tex]1.5=h[/tex]

The height of the sandbox is 1.5 ft. Therefore the correct option is 4.

1)5sqrt17,2sqrt157,8sqrt2

2)sqrt7

3)-3(3sqrt3+2sqrt5)

4)18sqrt6,12sqrt3-9sqrt15

Answer:

Step-by-step explanation:

Givens

d = 20 for the bike

d1 = 3 for the person

rate of person = r

rate of bike = r + 5

Formula

d = r*t;  t = d/r

Solution

t is the same for both

20/(r + 5) = 3/r                  Cross multiply

20*r = 3*(r + 5)                  Remove the brackets.

20*r = 3r + 15                    Subtract 3r from both sides.

20r - 3r = 3r - 3r + 15        Combine

17r = 15                               Divide by 17

r = 15/17

r = 0.8824 miles per hour running

Answer:

Radius = 2.

Step-by-step explanation:

We have been given equation of the circle which is [tex]x^2 + y^2 = 4[/tex].

Now we need to find the radius of the given circle [tex]x^2 + y^2 = 4[/tex].

To find that let's compare with the formula of the circle with standard equation of the circle  [tex]x^2 + y^2 = r^2[/tex], where r is the radius.

We get [tex]r^2 = 4[/tex]

take square root of both sides.

[tex]r=2[/tex]

Hence radius of the given circle is r = 2.

Answer:

Final answer is [tex]c=12t[/tex].

Step-by-step explanation:

Given that the amount c of energy you burn and the time t you spend exercising, if you burn calories at a rate of 12 Cal/min.

Now we need to write a function rule for the relationship between c and t.

given that cal/min=12

or [tex]cal/min=12/1[/tex]

or [tex]c/t=12[/tex]

or [tex]c=12t[/tex]

Hence final answer is [tex]c=12t[/tex].

Answer:

The top-right graph.

Step-by-step explanation:

Because f(-2) = 0.

The graph which represents the non-linear function with power 1/3 is similar graph in right side of upper option. Thus, the option B is correct.

When the graph of the function represents the straight line, then it is called the linear function.

The graph of a function in which the power of variable is more than one is called the non-linear graph.

The function given in the problem is,

f(x)=∛(x+2)

It is a non-linear function. This function can be written as,

[tex]f(x)=(x+2)^\dfrac{1}{3}[/tex]

The graph of this function is attached below. This graph passes from the point (-2,0) and (0,1.26) and looks similar to the option B (right side of upper option).

Hence, the graph which represents the non-linear function with power 1/3 is similar graph in right side of upper option. Thus, the option B is correct.

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Answer:

Part A) The diameter of the rug is [tex]10\ ft[/tex]

Part B) The radius of the rug is [tex]r=5\ ft[/tex]

Part C) The area of the rug is [tex]78.5\ ft^{2}[/tex]

Step-by-step explanation:

Part A) Find the diameter of the rug

we know that

The circumference of a circle (circular rug) is equal to

[tex]C=\pi D[/tex]

where

D is the diameter

we have

[tex]C=31.4\ ft[/tex]

[tex]\pi=3.14[/tex]

substitute the values and solve for D

[tex]31.4=(3.14)D[/tex]

[tex]D=31.4/(3.14)=10\ ft[/tex]

Part B) Find the radius of the rug

we know that

The radius of a circle (circular rug) is half the diameter

we have

[tex]D=10\ ft[/tex]

[tex]r=D/2[/tex]

substitute

[tex]r=10/2=5\ ft[/tex]

part C) What is the area the rug is covering?

The area of the circle (circular rug) is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=5\ ft[/tex]

[tex]\pi=3.14[/tex]

substitute

[tex]A=(3.14)(5)^{2}[/tex]

[tex]A=78.5\ ft^{2}[/tex]