Find the y-intercept and x-intercept of the line.
-x+4y = 8

Answer:

15 cm

Step-by-step explanation:

Circumference of circle= 2πr, where r us the radius of the circle.

Given that the circumference of circle is 60πcm,

60π= 2πr

Divide by 2 on both sides,

15π= πr

Divide by π on both sides,

15= r

Thus, radius of circle= 15cm.

Answer:

x = ± 3, x = ± 2i

Step-by-step explanation:

Given

f(x) = (x² + 4)(x² - 9)

To find the zeros let f(x) = 0, that is

(x² + 4)(x² - 9) = 0

Equate each factor to zero and solve for x

x² - 9 = 0 ( add 9 to both sides )

x² = 9 ( take the square root of both sides )

x = ± [tex]\sqrt{9}[/tex] = ± 3

x² + 4 = 0 ( subtract 4 from both sides )

x² = - 4 ( take the square root of both sides )

x = ± [tex]\sqrt{-4}[/tex] = ± [tex]\sqrt{4(-1)}[/tex] = ± [tex]\sqrt{4}[/tex] ×[tex]\sqrt{-1}[/tex] = ± 2i

Thus zeros are

x = - 3, x = 3 ← real

x = - 2i, x = 2i ← complex

Answer:

Here is the full proof:

AC bisects ∠BCD      Given

∠CAB ≅ ∠CAD          Definition of angle bisector

DC ⊥ AD                    Given

∠ADC = 90°               Definition of perpendicular lines

BC ⊥ AB                    Given

∠ABC = 90°               Definition of perpendicular lines

∠ADC ≅ ∠ABC          Right angles are congruent

AC = AC                     Reflexive property

ΔCAB ≅ ΔCAD          SAA

BC = DC                     CPCTC          

Hey there! :)

Answer:

A) (1, 6)

Step-by-step explanation:

Solve by setting both equations equal to each other. Begin by rearranging each equation to equal y:

3x + y = 9

y = -3x + 9

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

y - 2x = 4

y = 2x + 4

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

-3x + 9 = 2x + 4

Add 3x to both sides:

-3x + 3x + 9 = 2x + 3x + 4

9 = 5x + 4

Subtract 4 from both sides:

9 - 4 = 5x + 4 - 4

5 = 5x

Divide both sides by 5:

5/5 = 5x/5

x = 1. Substitute 1 into an equation to solve for y:

3(1) + y = 9

3 + y = 9

y = 9 - 3

y = 6.

Therefore, the coordinates of the solution are:

A) (1, 6)

Answer:

[tex]\boxed{OptionA}[/tex]

Step-by-step explanation:

3x+y = 9

y-2x = 4

Subtracting both equations

=> 3x+y-(y-2x) = 9-4

=> 3x+y-y+2x = 5

=> 3x+2x = 5

=> 5x = 5

Dividing both sides by 5

=> x = 1

Now, Putting x = 1 in the first equation

=> 3(1)+y = 9

=> 3+y = 9

=> y = 9-3

=> y = 6

Ordered pair = (x,y) = (1,6)

Answer:

x=5,6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw a dashed horizontal line at y = 7, and under this line, from the x-axis to the line y = 7, draw the v-shaped graph of the absolute value function.

Next, draw a solid horizontal line at y = 5.  

Shade the area between these two lines, touching the line y = 5 but not touching the line y = 7.  The result will be a trapezoid-shaped area.  All points in this area are solutions to this system of inequalities.

Answer:  the answer that I got was 24

Step-by-step explanation:

I hope it’s right and it helps!

Answer:

[tex]24[/tex]

Step-by-step explanation:

[tex](-1)\times (-(-2)) \times (-(-(-3))) \times (-(-(-(-4)))[/tex]

Negative times negative is positive.

Negative times negative times negative is negative.

Negative times negative times negative times negative is positive.

[tex](-1)\times (+2) \times (-3) \times (+4)[/tex]

Multiply.

[tex]-1 \times 2 \times -3 \times 4[/tex]

[tex]= 24[/tex]

B) 3/2

The radius of a circle is half its diameter.

Thus, the radius of the orange circle is 6, and the blue circle is 4

Thus the ratio is 4/6, which can be simplified to 3/2

Hope it helps <3 (Also, just answered this question for someone else!!)

Answer:

B. 3/2

Step-by-step explanation:

EDG

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

The probability of the white shirt and the gray slack is;

[tex]\rm P(A) = \frac{1}{6}[/tex]

The probability of the outfit with the black shirt is;

[tex]\rm P(B) = \frac{F(S)}{T(S)} \\\\ \rm P(B) = \frac{5,6}{1,2,3,4,5,6)} \\\\ \rm P(B) ==\frac{2}{6} \\\\ P(B) = \frac{1}{3}[/tex]

The probability that the no favorable outfit with the white shirt and black is;

P(A∩B)=0

The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt is found by the formula;

P(A or B)= p(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=P(A)+P(B)-P(A∩B)

[tex]\rm P(A \ U \ B)= \frac{1}{6}+\frac{2}{6} -0 \\\\\ P(A \ U \ B)=\frac{1}{2}[/tex]

Hence, the probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].

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The probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

We have to given that,

Mark is going to an awards dinner and wants to dress appropriately.

And, Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie.

Since, There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt.

We can use the addition rule of probability:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A) is the probability of selecting an outfit with a white shirt and grey slacks,

P(B) is the probability of selecting an outfit with a black shirt, and

P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.

From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:

P(A) = 1/6

P(B) = 1/6

There is no outfit that satisfies both events A and B, so:

P(A and B) = 0

Therefore:

P(A or B) = P(A) + P(B) - P(A and B)

              = 1/6 + 1/6 - 0

              = 1/3

So, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.

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Complete question is,

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.

Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.

Let A be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and B be the event that he selects an outfit with a black shirt.

What is P (A or B) , P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?

Answer:

2x² - 9x - 5

Step-by-step explanation:

Step 1: FOIL

2x² - 10x + x - 5

Step 2: Combine like terms

2x² - 9x - 5

Answer:

2x^2−9x−5

Step-by-step explanation:

(2x+1)(x−5)

=(2x+1)(x+−5)

=(2x)(x)+(2x)(−5)+(1)(x)+(1)(−5)

=2x^2−10x+x−5

=2x^2−9x−5

Answer:

A. 2614 m^2 to the nearest square meter.

Step-by-step explanation:

Volume of the sphere

= 4/3 pi r^3 = 4000 pi

4/3 r^3 = 4000

r^3 = 4000 * 3/4 = 3000

r = ∛(3000)

The surface area

=4 pi r^2

= 4 * pi *  (∛(3000)^2

= 4 * pi * 208.008

= 2613.91 m^2.

Answer:

Step-by-step explanation:

first we will break the parts of the question down:

d= distance

t= time

function: d=t(60)

the independent variable is t, time, because the (distance) that the car travels depends   on how long the car has been traveling for (time) meaning that the dependent value is distance.

A table we can create with 5 coordinate pairs is:

(time)        (distance)

1 hr            60miles

2 hr           120 miles

3 hr          180 miles

4 hr            240 miles

5 hr           300 miles

(to graph the coordinate pairs, you can graph the points listed in the table. the time value represents the x value since it is the independent variable, and the y value will be the distance values since it is dependent.)

Answer:

  90°

Step-by-step explanation:

The sum of the arcs around the circle is ...

  2x +4x +4x +2x = 360°

  x = 360°/12 = 30°

The numbered angle is the average of the measures of the intercepted arcs, so is ...

  (4x +2x)/2 = 3x = 3(30°) = 90°

The numbered angle is 90°.

Answer:

4.9

Step-by-step explanation:

In this case, the ratio of the surface area is equal to the square root of the ratio of surface area ; 6 : 9

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

The ratio of a cube with a surface area of 36 m² to a cube with a

surface area of 81 m².

The face assumed to be square, hence the area is equal to the square of the length.

36 / 81 = 6 / 9

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Answer:

Option B.

Step-by-step explanation:

The given relation is

[tex]x=2y^2+6[/tex]

At y=-2,

[tex]x=2(-2)^2+6[/tex]

[tex]x=2(4)+6[/tex]

[tex]x=8+6[/tex]

[tex]x=14[/tex]

Similarly,

At y=-1,

[tex]x=2(-1)^2+6=8[/tex]

At y=0,

[tex]x=2(0)^2+6=6[/tex]

At y=1,

[tex]x=2(1)^2+6=8[/tex]

At y=2,

[tex]x=2(2)^2+6=14[/tex]

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.

Answer:28oz-$4.89 is better deal. It is 17.5 cents per oz.

Step-by-step explanation:

Answer: The best option would be the 28 oz option

Step-by-step explanation:

First you would divide the dollar amount by the amount of ounces to get how much it is per ounce. For the 18 oz jar it is about 0.182 per ounce. For the 22 oz jar it is about .181 per ounce. For the 28 it is about 0.175 per ounce. Therefore the 28 oz is the best option.

Hey there! :)

Answer:

False.

Step-by-step explanation:

In a point, the coordinates are in the format:

(x, y).

In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:

Move right 5, down 3.

Answer:

False

Step-by-step explanation:

To plot the point (5, -3) you would move right 5, then down 3.

Answer:  36 three-point field goals

Step-by-step explanation:

To solve this problem, set up a system of equations. Let's call the number of  one-pointers [tex]w[/tex], the number of two-pointers [tex]x[/tex], and the number of three-pointers [tex]y[/tex]. We are trying to find [tex]y[/tex] here. We also know that [tex]w+x+y=85[/tex], because that is the total amount of baskets, and also that [tex]w+2x+3y=184[/tex], which is the total amount of points. We know that there were 22 free throws,  so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are [tex]x+y=63[/tex]  and[tex]2x+3y=162[/tex]. Solving the equations using our knowledge of systems of equations, you get that [tex]y=36[/tex]. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.

The number of two-point and three-point field goals they made is 27 and 36, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of two points basket be represented by x and the number of three points basket be represented by y.

Now, since the total number of basket is 85, out of which 22 were free throw. Thu, we can write the equation as,

22 + x + y = 85

Solving the equation for x,

x = 85 - 22 - y

x = 63 - y

Further given that the total point made is 184. Therefore, the total number of score can be written as,

22 + 2x + 3y = 184

22 + 2(63 - y) + 3y = 184

22 + 126 - 2y + 3y = 184

y = 36

Substitute the value of y in the first equation,

22 + x + y = 85

x = 85 - 22 - 36

x = 27

Hence, the number of two-point and three-point field goals they made is 27 and 36, respectively.

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Answer:

change in y

over

change in x

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

please make me brainliest

Answer:

7:10:34

Step-by-step explanation:

1. Ratio outline:

       Length 1:Length 2:Perimeter

2. Length 1 = 35 feet

3. Length 2 = 50 feet

4. Perimeter = Length of all sides

     - Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170

5. Substitute the values into the ratio outline:

        35:50:170

6. Convert into simplest form: Divide by greatest common factor (5)

         7:10:34

Answer:

B. (8,1)

Step-by-step explanation:

x+y=9

x-y=7

x=7+y

Therefore in the equation x+y=9 , x=7+y

(7+y)+y=9

7+2y=9

2y=9-7

2y=2

y=2/2=1

therefore x=7+y

=7+1=8

The solution of the system of equation are,

⇒ (8, 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

System of equations are,

x + y = 9  .. (i)

x - y = 7  .. (ii)

Now, We can simplify as;

From (i);

x = 9 - y

Put in (ii);

x - y = 7

9 - y - y = 7

9 - 2y = 7

9 - 7 = 2y

2y = 2

y = 1

From (i);

x = 9 - y

x = 9 - 1

x = 8

Thus, The solution of the system of equation are,

⇒ (8, 1)

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Answer:

Last Choice: Angles F and C are congruent

Step-by-step explanation:

Angles F and C are congruent because they are vertical angles.

All other pairs of angles in the choices are not necessarily congruent.

Answer:

The area is 25 :)

Step-by-step explanation:

This Is An Obtuse scalene triangle.

Sides: a = 17.205   b = 13.454   c = 5

Area: T = 25

Perimeter: p = 35.658

Angle ∠ A = α = 131.987° = 131°59'14″ = 2.304 rad

Angle ∠ B = β = 35.538° = 35°32'16″ = 0.62 rad

Angle ∠ C = γ = 12.475° = 12°28'30″ = 0.218 rad

Height: ha = 2.906

Height: hb = 3.716

Height: hc = 10

Median: ma = 5.385

Median: mb = 10.735

Median: mc = 15.24

Inradius: r = 1.402

Circumradius: R = 11.573

Vertex coordinates: A[3; 4] B[8; 4] C[-6; -6]

Centroid: CG[1.667; 0.667]

Coordinates of the circumscribed circle: U[0; 0]

Coordinates of the inscribed circle: I[1.963; 1.402]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 48.013° = 48°46″ = 2.304 rad

∠ B' = β' = 144.462° = 144°27'44″ = 0.62 rad

∠ C' = γ' = 167.525° = 167°31'30″ = 0.218 rad

Answer:

(6,0)

Step-by-step explanation:

A zero of an equation is the x-intercept of the graph, meaning whenever the graph hits the x-axis. You can see that (2,0) and (6,0) are the x-intercepts, as I can see from the picture of the graph. There are other ways to solve this as well, but there is no need since the graph is provided. I hope this helps you!! Have a great rest of your day.

Answer:

98

Step-by-step explanation:

First to do this you must turn 12 and 1/4 into an improper fraction. 12 and 1/4 as an improper fraction is 49/4, as their are 49 1/4s in 12 and 1/4.

Now to divide 49/4 by 1/8, you keep 49/4, turn the division sign into a multiplication sign, and turn 1/8 into 8/1 (flip numerator and denominator)

This turns 49/4÷1/8 into 49/4×8/1. Now to multiply you get 49 × 8 as the numerator and 4 × 1 as the denominator. This ends up being 392/4. You then can simplify by dividing both numbers by 4, and get 98/1 or 98.

Answer: 98

Step-by-step explanation: To divide 12 and 1/4 by 1/8, first write 12 and 1/4 as the improper fraction 49/4.

So we have 49/4 ÷ 1/8.

Now, since dividing by a fraction means the same thing as multiplying by the reciprocal of the fraction, we can rewrite 49/4 ÷ 1/8 as 49/4 × 8/1.

Before multiplying however, always try to cross-cancel.

In this problem, the 4 and 8 cross-cancel to 1 and 2.

So we have 49/1 × 2/1 which is 98/1 or 98.

Answer:

h(t) = h₀ + v₀·t + 1/2 g t² with

h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²

4.9 seconds

Step-by-step explanation:

16.087 (t - 2.48648)^2 - 94.5842 = 0

solving as a quadratic equation yields t ≈ 4.9 seconds

Answer:

45 square units

Step-by-step explanation:

In the above question, we are given the following values

The ratio of the lengths of the corresponding sides of two regular octagons is 8 to 3.

This means the length of the larger octagon = 8

The length of the smaller octagon = 3

Using scale factor denoted as k and because we are dealing with area of the octagon

k = 3²/8²

The area of the larger octagon is 320 ft².

The area of the smaller octagon s represented as y and is calculated as

k = y/Area of larger octagon

3²/8² = y/320

Cross multiply

8² × y = 3² × 320

y = 3² × 320/8²

y = 45 square units

Area of smaller octagon = 45 square units.

Answer:

The rule for the translation can be written as T3, –5(x, y)

Triangle ABC has been translated 3 units to the right and 5 units down.

Step-by-step explanation: I think this is correct

True statements are

The rule for the translation can be written as T3, –5(x, y).

Triangle ABC has been translated 3 units to the right and 5 units down.

Given :

The graph is attached below

Given options are

The rule for the translation can be written as T–5, 3(x, y).

The rule for the translation can be written as T3, –5(x, y).

The rule for the translation can be written as

(x, y) → (x + 3, y – 3).

The rule for the translation can be written as

(x, y) → (x – 3, y – 3).

Triangle ABC has been translated 3 units to the right and 5 units down.

Explanation :

In the triangle ABC, A is at (-1,3)

In A'B'C', A' is at (2,-2)

From these points we can see that

[tex]-1+3=2\\3-5=-2[/tex]

So , 3 is added with x value and -5 is added with y value

Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.

Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]

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Answer:

the 2nd one

Step-by-step explanation:

b/c

-5/2x-3≤2

-5/2x≤3+2

-5/2x≤5

-5x≤10

x≥10/-5

x≥-2