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3 years ago

Two cards are drawn at random from a standard deck without replacement. Which of the following

Mathematics

1 answer:

Pachacha [2.7K]3 years ago

8 0

Answer: .15% (point fifteen percent)

Step-by-step explanation:

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Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

Anna007 [38]

Answer:

$y=2x+3$

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

$\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2$

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

$y-7=2(x-2)$

Solve for y. Distribute the right:

$y-7=2x-4$

Add 7 to both sides. Hence, our equation is:

$y=2x+3$

6 0

2 years ago

When Liz woke up in the morning, it was 6°F. By the late afternoon, the temperature had dropped 9°F.

Annette [7]

Given:

Temperature in the morning = 6°F.

By the late afternoon, the temperature had dropped 9°F.

To find:

The temperature by the late afternoon.

Solution:

Temperature by the late afternoon = Morning temperature - Dropped temperature

Using the given values and the above formula, we get

Temperature by the late afternoon = 6°F - 9°F

Temperature by the late afternoon = -3°F

Therefore, the temperature by the late afternoon is -3°F.

5 0

3 years ago

PLEASE HELP!!!!<br><br><br> Thanks, Anyone who answers I appreciate it very much!!

Ivan

Answer:

Linear Decreasing

Step-by-step explanation:

Exponential graphs are curved, but this line is straight, so it's linear. It's decreasing since the graph moves from left to right, and as you can see, the line starts from the left tall but gradually goes lower as it goes towards the right.

6 0

2 years ago

Read 2 more answers

PLEASE HELPP!!

Rasek [7]

Answer:

Given:

Two trail maps:

Trail on the first map = 8 cm

Trail on the second map = 6 cm

Scale on first map = 1 cm : 2 km

A) What is the scale factor from the map to the actual trail?

For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km.

The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm

B) The length of the actual trail is 16 kilometers.

Step-by-step explanation:

3 0

3 years ago

If the product of a number and -4 is subtracted from the number, the result is 3 more than the number. Find the number

lesya [120]

Answer: The number is 0.75 or 3/4

Step-by-step explanation:

let x = the number.

Now set up an equation: The product of a number (x) and -4 = -4x. So -4x is subtracted from the number - x. x-(-4x)

Then, that equals 3 more than the number (x) = x+3

So the equation is x-(-4x)=x+3.

Then, solve the equation!

x-(-4x)=x+3

x+4x=x+3 (Distribute the negative to the parentheses)

5x=x+3 (Combine like terms)

4x=3 (Get the Xs on one side by subtracting x from both sides)

x=0.75 or 3/4 (divide by the coefficiant, 4, on both sides)

3 0

3 years ago

Read 2 more answers