O A. y = (x + 3)2 + 5
O B. y= (x - 5)2 + 3
O c. y = (x + 3)2-5
O D. X=-3(y + 5)2

Answer:

The answer is D.

Step-by-step explanation:

Answer:

The answer is A.

How I got it:

Formula of finding a triangle: 1/2 bh.

In this case, the base is R and the Height is X.

1/2rx.

Answer:

560

Step-by-step explanation:

8 out of 10 is 80%, so then the answer would be 80% of 700, which would be 560

Answer:

B. point B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

B(-1, -3)

y = 3x

When x = -1,

y = 3(-1) = -3

Answer: B.

Answer:

The distance between the two points is about 7.1 units.

Step-by-step explanation:

We want to find the distance between the two points (-3, 6) and (2, 1).

To find the distance between any two points, we can use the distance formula:

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

Let (-3, 6) be (x₁, y₁) and (2, 1) be (x₂, y₂). Substitute:

[tex]\displaystyle d=\sqrt{((2)-(-3))^2+((1)-(6))^2}[/tex]

Simplify:

[tex]\displaystyle d=\sqrt{(5)^2+(-5)^2}[/tex]

Evaluate:

[tex]d=\sqrt{25+25}=\sqrt{25(2)}=5\sqrt{2}\approx 7.1\text{ units}[/tex]

The distance between the two points is about 7.1 units.

Answer:

B

Step-by-step explanation:

Line crosses y-axis at 2.

Slope = [tex]\frac{-1}{5}[/tex]

For each 1 square the line rises/falls it moves to the right/left 5 squares.

Negative slope lines are downhill left to right.  

The correct graph to represent the line y = -1/5 x + 2 will be;

⇒ Graph 2

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

The equation of line is;

⇒ y = - 1/5 x + 2

Now,

The standard form of the equation of line with slope m and y intercept at point b is given as;

y = mx + b

By comparing we get;

Slope (m) = - 1/5

In the second figure;

Let two points on the graph (0, 2) and (5 , 1).

So, Slope is defined as;

m = (1 - 2) / (5 - 0)

m = - 1 / 5

And, Clearly the y - intercept is at point 2.

Therefore,

Graph 2 shows the correct graph to represent the line y = -1/5 x + 2.

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Step-by-step explanation:

X-1/X=3

X-1=3×X

X-1=3X

-3X+X=1

-2X=1

X=1/2 Answer

Answer:[tex]12x+25y=300[/tex]

Step-by-step explanation:

Answer:

12x + 25y = 300

Step-by-step explanation:

Answer:

<-56, -16>

Step-by-step explanation:

multiply the values by 8 because that's what the question tells you to do

Answer:

30.49 m

Step-by-step explanation:

To obtain the maximum height, we solve for the value x when dy/dx = 0.

Since, y = -5x² + 40x + 20

dy/dx = d[-5x² + 40x + 20]/dx

dy/dx = -10x + 40

Since dy/dx = 0,

-10x + 40 = 0

-10x = -40

x = -40/-10

x = 4

Substituting x = 4 into the equation for y, we have

y = -5x² + 40x + 20

y = -5(4)² + 40(4) + 20

y = -5(16) + 160 + 20

y = -80 + 160 + 20

y = 80 + 20

y = 100 ft

Since y is in feet, we convert to meters.

Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m

So, the maximum height, in meters  reached by the projectile is 30.49 m

Answer:

the answer is 8 because DEF is 8 times larger than ABC.

Step-by-step explanation:

hope that helps>3

Answer:

3

Step-by-step explanation:

To find scale factor, you need to divide two of the given sides. Meaning you can do any corresponding sides. So, for now, I will do 12 from DEF and 4 from ABC.

12 ÷ 4 = 3

To check if it is accurately 3, you will do it again (optional). You can use 15 from DEF and 5 from ABC

15 ÷ 5 = 3

Since both are 3, that will be the scale factor.

The answer is 3.

average =65%

average = (60+70)/(100+100)*100

= 130/200*100

= 65%

Answer:

HCF = 6

Step-by-step explanation:

Listing the factors of each number

18 is 1, 2, 3, 6, 9, 18

30 is 1, 2, 3, 5, 6, 10, 15, 30

36 is 1, 2, 3, 4, 6, 9, 12, 18, 36

common factors are 1, 2, 3, 6

the HCF is 6

Answer:

5km

Step-by-step explanation:

Please check the attached image for a diagram explaining this question

The distance from A to C can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

3² + 4²

= 16 + 9

= 25

determine the square root of 25

√25 = 5km

Answer:

Answer 1 :-

[tex]\implies m_1 = -3 [/tex]

[tex]\implies y - intercept = 7 [/tex]

Answer 2 :-

[tex]\implies m_1 = -\dfrac{1}{2} [/tex]

[tex]\implies y - intercept = -4 [/tex]

Step-by-step explanation:

The Slope Intercept Form of the line is given to us . The equations given are ,

[tex]\implies y + 3x = 7 [/tex]

[tex]\implies y + \dfrac{1}{2}x = -4 [/tex]

Now we know the standard equation of slope intercept form , is

[tex]\implies y = mx + x [/tex]

Where ,

So , we can write about the equations as ,

[tex]\implies y = -3x + 7 [/tex]

[tex]\implies y = - \dfrac{1}{2}x -4 [/tex]

On comparing to the Standard form ,

Answer 1 :-

[tex]\implies m_1 = -3 [/tex]

[tex]\implies y - intercept = 7 [/tex]

Answer 2 :-

[tex]\implies m_1 = -\dfrac{1}{2} [/tex]

[tex]\implies y - intercept = -4 [/tex]

Answer:

not possible or not determined is answer

Step-by-step explanation:

because let his father be 33

ad his son be 17

15 years ago

son will be 2

and father will be 18

not possible father's age ≠son's age in any respect unless and until father's age is decreased

Answer:

4(– 6)

6(– 4)

12(– 2)

Step-by-step explanation:

Answer:

this involves dividing numbers by making use of their place values or value

Step-by-step explanation:

hope this is helpful

Answer:

Step-by-step explanation:

Cross multiplication can be used but not in the beginning. First x should be isolated.

[tex]3 +\frac{5}{x}=\frac{7}{x}\\\\[/tex]

Now subtract [tex]\frac{5}{x}[/tex] from both sides

[tex]3 = \frac{7}{x}-\frac{5}{x}\\\\3=\frac{7-5}{x}\\\\3=\frac{2}{x}[/tex]

In this stage, cross multiplication can be used.

[tex]\frac{3}{1}=\frac{2}{x}\\\\3*x=2*1\\\\x = \frac{2}{3}[/tex]

Answer:

x =0 and x =2/3

Step-by-step explanation:

as is no

but if you put an x under the 3 to make 3x/x

then you'd have 3x+5/x = 7/x

to make

3x^2 + 5x = 7x

this makes

3x^2 -2x =0

using the quadratic formula

answers

x =0 and x =2/3

Answer:

library 2,3

park 8,2

market 3,7

red centers 4,10

pool 6,6

movie theater 9,9

ice cream shop 5,4

Answer:

7/(6 + x) = 3/(6 - x)

Step-by-step explanation:

The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph

The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream

Let x represent the rate of the canoe, we have;

7/(v + x) = 3/(v - x)

Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;

7/(6 + x) = 3/(6 - x).

Hello,

The parabola has vertex=(0,1) and is passing through (1,3)

y=k(x-0)²+1

3=k*1+1 ==> k= 2

y=2*x²+1

Answer:

16

Step-by-step explanation:

Its a square, so AB=CD, AC=BD and

Answer:

60

Step-by-step explanation:

the two angles are equal angle x and the one opposite

=180-40

=120 ÷2

=60

Answer is

z = 70

x = 70

Step-by-step explanation:

z is also equal to x because two sidess are equal

40 + x + x =180

40 + 2x = 180

2x = 140

x =70

so x and z are 70 each

Answer:

45

Step-by-step explanation:

4[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] for x = 3

Substitute 3 in for x

4([tex]3^{3}[/tex]) - 7([tex]3^{2}[/tex])

4(3·3·3) - 7(3·3)

4(27) - 7(9)

108 - 63

45

Answer:

45

Step-by-step explanation:

Hi there!

We are given 4x³-7x² and we need to evaluate the expression if x=3.

To do this, substitute 3 as x into the expression, and then use the order of operations to solve

so substitute 3 as x into the expression (remember: x² is x*x, or (x)²)  

4(3)³-7(3)²

now using the order of operations, start by evaluating the exponents

(3)³=3*3*3=9*3=27

(3)²=3*3=9

the expression then becomes:

4*27-7*9

multiply

108-63

subtract

45

Hope this helps! :)

Answer:

K=30

Step-by-step explanation:

120÷4 = 30

k=30

The value of k for selecting 40 teachers out of 120 is 1 / 3.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that there are 120 teachers in an ABC school and 40 teachers need to be selected,

The value of k will be calculated by the concept of probability as below,

k =  Number of favourable outcomes / Number of sample

k = 40 / 120

k = 1/3

Therefore, the value of k for selecting 40 teachers out of 120 is 1 / 3.

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