the straight line L has an equation y=1/2x+7. The straight line m is parallel to L and passes through the point (0,3). Write down an equation for the line M.​

Answer:

a) yes, they are similar

b) ΔDEF will have a greater area

1.2 times greater (which is the same proportion as 36/30)

Step-by-step explanation:

a) 40/48 = 0.8333

30/6 = 0.8333

Same ratio so they are similar

b) ΔDEF will have a greater area because EF is longer than BC.

area of ΔABC = 1/2(30)(40) = 600 cm²

area of ΔDEF = 1/2(36)(40) = 720 cm²

720/600 = 1.2 x greater

Answer:

it is 8.65

Step-by-step explanation:

it just is but if it is wrong sorry been a while since i done this

Answer:

x=1.5

Step-by-step explanation:

Answer:

a=23 b=12 c=12/23

Step-by-step explanation:

I just did it on EDG, got it wrong so i could give you the answer XD

The likelihood that a randomly chosen consumer on plan B would text on the phone the most frequently is 13/23.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

According to the given data,

Number of customers on plan B = 13 + 10 = 23

Number of customers on plan B who text = 13

P(text|plan B) = P(text and plan B) / P(plan B),

where P(text and plan B) is the probability of a customer being on plan B and texting, and P(plan B) is the probability of a customer being on plan B, can be used to calculate the likelihood that a randomly chosen customer on plan B will text the most.

So,

P(text|plan B) = 13/23

Therefore, the probability that a randomly selected customer who is on plan B uses the phone most often to text is 13/23.

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Answer:

400 millimeters is the answer.

Answer:

1400 millimeters.

Step-by-step explanation:

9514 1404 393

Answer:

  y = -3x^2 -9x +30

Step-by-step explanation:

When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...

  f(x) = (x +5)(x -2)

At the point x=3, the value of this product is ...

  f(3) = (3 +5)(3 -2) = (8)(1) = 8

In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...

  y = -3(x +5)(x -2)

  y = -3x^2 -9x +30 . . . . . standard form

Answer:

Step-by-step explanation:

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared + h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

L = √d² + h²

Height is equal to [tex]14.59[/tex] feet

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle).

[tex]l=\sqrt{h^2+d^2}[/tex]

[tex]l=15[/tex] feet

[tex]d=3.5[/tex] feet

[tex]15=\sqrt{3.5^2+h^2}[/tex]

[tex]15=\sqrt{12.25+h^2}[/tex]

[tex]225=12.25+h^2[/tex]

[tex]212.75=h^2[/tex]

[tex]\sqrt{212.75}=h[/tex]

[tex]h\approx 14.59[/tex] feet

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Answer:

8.9

Step-by-step explanation:

8^2+ s^2=12^2

64+s^2=144

s^2=80

s=square root of 80

s=8.9

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

Answer:

the ride would be $1.72 for the cab

Answer:

<B = 18

x+23 = 35

5x = 60

Step-by-step explanation:

Answer:

12. 18

14. x = 12; x + 23 = 35; 5x = 60

Step-by-step explanation:

12.

100 = ? + 82

? = 18

14.

x + 23 + 5x + 85 = 180

6x + 108 = 180

6x = 72

x = 12

x + 23 = 12 + 23 = 35

5x = 5 * 12 = 60

Answer:

This can't really be broken down, so you would either write the answer as the question, or put it in decimal form.

So the choices would be:

[tex]\sqrt{119}[/tex] or 10.9

Answer:

She'll lose 21 games out of 35. But she'll win 14 lol

All I did was see how many fives go into 35, and that's 7. So 3 (how many games she loses per 5 games) times 7 is 21.

Answer:

9

Step-by-step explanation:

2-9= -7 so the distance is 9

Answer:

7 units

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

6x - 1 = 4x - 5

Bring like terms together

6x - 4x = 1 - 5

2x = -4

-4 / 2 = -2

Answer: 16 minutes (16.36)

Step-by-step explanation:

5.5 = 90

1 = ?

90 / 5.5 = 16.36363

1 = 16 minutes

Answer:

2^8 = 256 choices

Step-by-step explanation:

Answer: is it c?

Step-by-step explanation:

Answer:

I think C is your answer.

Step-by-step explanation:

Answer:

a) 24

b) 12

Step-by-step explanation:

a) For the 4 letters of the word ROCK

Selecting any first letter, we have 4 options

for the second, we have 3 options

for the third we have 2 options

for the fourth, we have only one option

So the number of ways will be ;

4 * 3 * 2 * 1 = 24 ways

b) 2 out of 4

For the first letter, we have 4 options, for the second, we have 3 options

so the number of options is 4 * 3 = 12 options

Answer:

14 sections

Step-by-step explanation:

I think I'm correct but if I'm wrong tell me right away I'll try again.

Step-by-step explanation:

he answered seven of the multiple choice questions and answered one of the true or false questions that is;

7×2+1=14

The ordered pair is a solution is (2, 6).

Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.

The correct option is (B).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x + 2y = 14............(1)

x + y = 8

x = 8 - y.................(2)

Solving equation (1) and (2), we get

8 - y + 2y = 14

y + 8 = 14

y = 14 - 8

y = 6

and, x + y = 8

x + 6 = 8

x = 8 - 6

x = 2

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Answer:

(10, 5)

Step-by-step explanation:

Starting coordinate : (9, 5)

x = 9 ; y = 5

Vertical distance (up and down) = y

Horizontal distance (left and right) = x

Movement to the right = positive

Movement to the left = negative

Hence, 1 unit moved to the right ; x + 1

Therefore ;

(9 + 1, 5)

= (10, 5)

Answer:

x > 1.5

Step-by-step explanation:

I am not sure what exactly the question asks, because there doesn't need to be an absolute value bracket, but from what we can see, x is greater than 1.5, so the equation would be

x > 1.5

Answer:

hi I need help in math please help me

Step-by-step explanation:

will you?

Answer:

6

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3\sqrt{2} }{h}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

h = 3[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 6

the hypotenuse is 6 units

The events are independent because the outcome of one does not affect the outcome of the other one.

Answer:

ans  23 this is the ans

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

82 inches! 6 feet is 72 inches. 12*6