Answer the question............​

Answer:

slope=-1

y-intercept=-3

Step-by-step explanation:

if you solve the equation, it equals y = -x-3 since you divide -7 from both sides

Answer:

Part A)

2nd and 5th choice.

Part B)

[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]

Step-by-step explanation:

For the given parabola, our focus is (-3, 2), and our directrix is given by y = 4.

Part A)

We are given a point (x, y) on the parabola.

Since our directrix is an equation of y, the distance from (x, y) to the directrix will simply be the absolute value of the difference in y-values. So:

[tex]d_1=|y-4|=|4-y|[/tex]

Recall the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Our distance from (x, y) to the focus (-3, 2) can be determined using the distance formula. Let (x, y) be (x₂, y₂) and let our focus (-3, 2) be (x₁, y₁). Therefore:

[tex]d_2=\sqrt{(x-(-3))^2+(y-2)^2}=\sqrt{(x+3)^2+(y-2)^2[/tex]

Hence, for Part A, our answers are the 2nd and 5th choices.

Part B)

Recall that by the definition of a parabola, any point (x, y) on it is equidistant to the directrix and focus. Hence:

[tex]\sqrt{(x+3)^2+(y-2)^2}=|y-4|[/tex]

Solve for y. Square both sides. We may remove the absolute value since anything squared is positive:

[tex](x+3)^2+(y-2)^2=(y-4)^2[/tex]

Square:

[tex]x^2+6x+9+y^2-4y+4=y^2-8y+16[/tex]

Rearrange:

[tex](x^2+6x+13)+(-16)=(y^2-y^2)+(-8y+4y)[/tex]

Combine like terms:

[tex]x^2+6x-3=-4y[/tex]

Divide both sides by -4. Hence, our equation is:

[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]

Heyo! :D

Distance to the directrix is |y - 4|.

Distance to the focus is [tex]\sqrt{(x+3)^2+(y-2)^2}[/tex].

Hope this helps! If so, please lmk! Tysm and good luck!

Answer:

27

Step-by-step explanation:

PEMDAS

That is the order that you should solve complex equations

You first do equations in Parentheses

Then exponents

Then Multiplication or Division (whichever comes first in the equation)

Then Addition or Subtraction (again, whichever comes first in the equation)

So we first do the equation in parentheses, 7 - 5

7 - 5 = 2

Then we do the exponent (to the power of 2)

2 to the power of 2 is 4 (fun fact. 2 + 2 is the only equation that is the same in addition form and multiplication form)

Next, we multiply 4 by 6

4 x 6 = 24

And finally addition

3 + 24 = 27

Answer:

60º

Step-by-step explanation:

Answer:

$37

Step-by-step explanation:

Delivery fee- $10

each sandwich- $4.50

Sandwiches ordered- 6

4.50(6)+10=37

Answer:

3036

multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,

multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,

multiples of 253 are 253, 506, 759, 1012, and so on,

Its quite a time consuming process.

when all the numbers eventually meet together that is the answer.

Answer:

[tex]Area = 2900[/tex]

Step-by-step explanation:

Given

[tex]A (x_1,y_1) = (40,20)[/tex]

[tex]B (x_2,y_2) = (80,20)[/tex]

[tex]C (x_3,y_3) = (100,70)[/tex]

[tex]D (x_4,y_4) = (40,70)[/tex]

Required

Determine the Area

The area of the section is:

[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]

Substitute values for the x's and y's

[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]

[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]

[tex]Area = \frac{1}{2}|5800|[/tex]

[tex]Area = \frac{1}{2} * 5800[/tex]

[tex]Area = 2900[/tex]

Hence, the area of the section is 2900ft^2

Answer:

23 weeks

Step-by-step explanation:

1. 598/26 = 23

2. 23 weeks

Answer:

Step-by-step explanation:

Given point

Dilation by a scale factor of 74:

Rotation by 180°:

Answer:

ΔPQR and ΔSTU are not similar.

Step-by-step explanation:

The two triangles look distinguishable from each other.

Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.

See picture:

Answer:

80m - (12+4) = x

Step-by-step explanation:

Hope this helps! I mean its self explanatory

Answer:

$38.75

Step-by-step explanation:

We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.

Answer:

4368 m

Step-by-step explanation:

13x6x8x7=4368

Answer:

x = [tex]\frac{4+5y}{y+3}[/tex]

Step-by-step explanation:

Given

y = [tex]\frac{4-3x}{x-5}[/tex] ( multiply both sides by x - 5

y(x - 5) = 4 - 3x ( distribute left side )

xy - 5y = 4 - 3x ( add 3x to both sides )

xy + 3x - 5y = 4 ( add 5y to both sides )

xy + 3x = 4 + 5y ← factor out x from each term on the left side

x(y + 3) = 4 + 5y ← divide both sides by y + 3

x = [tex]\frac{4+5y}{y+3}[/tex]

Answer:

a. 76 b. 190

Step-by-step explanation:

a. Number of white lights

Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.

So, 3/2 = 114/x

cross-multiplying,

3x = 114 × 2

3x = 228

x = 228/3

x = 76

b. Total number of lights

So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190

Step-by-step explanation:

Since UV bisects TW, TW also bisects UV.

=> Line segments UV and TW bisect each other.

=> 4y - 3 = 2y + 1 and 3x + 8 = 3y + 2

=> 2y = 4 and 3x = 3y - 6

=> y = 2 and x = y - 2

=> y = 2 and x = (2) - 2

=> y = 2 and x = 0.

Answer:

y= 181/7 or 25.86

i really dont know about x

Answer:

There are total 4400 workers

Process is in photo...

The total number of workers if, In a​ company, 90​% of the workers are women, If 440 people work for the company who​ aren't women is 4400.

As it is clear from the term per-cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

In a​ company, 90​% of the workers are women,

If 440 people work for the company who​ aren't women,

Calculate the percentage of people who aren't women as shown below,

The percentage of people who aren't women = 100% - the percentage of women

The percentage of people who aren't women = 100% - 90%

The percentage of people who aren't women = 10%

Assume that there are a total of x workers then according to the statement,

10% of x = 440

10 / 100 × x = 440

x = 440 × 100 / 10

x = 4400

To know more about percentages:

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Answer:

I know algebra ll

i can help :D

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

36 + 4 = 40 x 2 =80  

36 x 2 = 82 = 4 - 86

Hope it helps!

The special number was supposed to be; 76

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

For age 'a', the special number was

 2a +4

Tammi's mother actually calculated it as;

 2(a +4) = 2a +8

Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be;

80 -4 = 76.

Learn more about equations here;

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Answer:

12/15

Step-by-step explanation:

6 Cakes man 6 cakes 42*2 3*2

Answer:

Step-by-step explanation:

Let the unknown value be x

[tex]42 = 3\\84 =x\\\\[/tex]

Cross Multiply

[tex]42\times x = 84\times 3\\\\42x = 252[/tex]

Divide both sides of the equation by 42

[tex]\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6[/tex]

Answer:

60 stores

Step-by-step explanation:

Here, we want to get the total number of stores in which Esther and her 6 brothers went shopping

From the question, she shopped in 12 different stores

Each of her six brothers shopped in 8 different stores

That makes the number of stores in which the brothers shop be 8 * 6 = 48 stores

The total number of stores is thus, 48 + 12 = 60 stores

Answer:

y = 2,500x + 5,000

Rate of change = $2500 a year

Initial value = $5000

Step-by-step explanation:

We have 3 values to figure what is the function here, the rate of change, and the initial value.

To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.

Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.

$7,500 - $5,000 = +$2,500/year

Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.

y = ????x + 5,000

You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!

y = 2,500x + 5,000

Answer:

y=2500x + 5000

2500

5000

Step-by-step explanation:

The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.

Probability of something is the occurrence of a certain event out of the total events that can occur.

According to the given question

The total no. of chocolates in the box is

(5 + 5+ 5) = 15 chocolates.

The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.

There are 5 milk chocolates.

So, probability of getting a milk chocolate first is

P(mc) = 5/15

= 1/3

Now the the chocolate can no be replaced because it is eaten

∴ Probability of getting a dark chocolate second is

P(dc) = 5/14                          (as the total no. of chocolate is reduced by 1

                                                                    because it has been eaten)  

And the probability of getting a white chocolate in 3rd attempt is

P(wc) = 5/13

As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is

P(mc) ∩ P(dc) ∩ P(wc)

= P(mc) × P(dc) × P(wc)

= (1/3 × 5/14 × 5/13)

= 25/546.

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Answer:

1st Option is correct

Step-by-step explanation:

Just keep adding 150 to see the results

Answer:

30

Step-by-step explanation:

3 times 30 = 90 - 2(for the six she already had) so 30

i think

Answer:

(-6,0.5)

Step-by-step explanation:

(-9 + -3)÷2= -6

(-4 + 5)÷2=0.5

(-6,0.5)