Explain the correlation between the graph of a line, direction of the line and the positive or negative slope of the line.

Answer:45

Step-by-step explanation:

Final answer:

The equation of the circle x² + y² - 2y - 15 = 0 is rewritten in vertex form by completing the square for the y terms, resulting in x² + (y - 1)² = 4², indicating a center at (0, 1) and a radius of 4.

Explanation:

To rewrite the equation of the circle in vertex form, you want to complete the square for both the x and y terms. The equation given is x² + y² - 2y - 15 = 0. First, we need to isolate the x and y terms:

Since there's no x-term to complete the square with, we can leave the x² term as it is. For the y-terms, add and subtract (1/2 * coefficient of y)2, which is (1/2 * -2)² = 1:

Now the equation inside the parentheses is a perfect square trinomial and can be factored as (y - 1)². After adjustment, we get:

So the circle in vertex form is x² + (y - 1)² = 4², with the center at (0, 1) and a radius of 4 units.

To solve for V in the equation C = Q/V, you need to multiply both sides of the equation by V and then divide both sides by C.

To solve the equation C = Q/V for V, we need to isolate V on one side of the equation. We can do this by multiplying both sides of the equation by V. This gives us CV = Q. To solve for V, we divide both sides of the equation by C. Therefore, V = Q/C.

The product is 3x² - 7x - 6 after combining like terms.

The student asked to multiply the binomials (3x+2) and (x-3). To do this, we use the FOIL method, which stands for First, Outside, Inside, Last. This refers to the elements in each binomial we need to multiply together.

First, we multiply the first terms in each binomial: (3x) and (x), which gives 3x².

Next, we multiply the outside terms: (3x) and (-3), which gives -9x.

Then we multiply the inside terms: (2) and (x), which produces +2x.

Last, we multiply the last terms of each binomial: (2) and (-3), yielding -6.

Finally, we combine the like terms to get the expanded product - 3x² - 7x - 6.

The equation ax = bx + 1 is the same as x = 1/(a  - b) when solved for x. This means that x is equal to the reciprocal of the difference of a and b. This is the answer from the sample response.

Answer:

The equation ax = bx + 1 is the same as x = 1/(a  - b) when solved for x. This means that x is equal to the reciprocal of the difference of a and b. This is the answer from the sample response.

Step-by-step explanation:

Answer:

50 meters

A is correct

Step-by-step explanation:

Given: 0.05 kilometers

As we know, In 1 km = 1000 m

So, multiply 0.05 km to 1000 to change into meter

[tex]\Rightarrow 0.05\ km\times \dfrac{1000\ m}{1\ km}[/tex]

[tex]\Rightarrow \dfrac{5}{100}\times 1000[/tex]

[tex]\Rightarrow 50\ km[/tex]

Hence, In 0.05 km is 50 meters.

The meter equivalent of 0.05 km is 50 .

Given,

0.05 kilometers

As we know, In 1 km = 1000 m

So, multiply 0.05 km to 1000 to change into meter

0.05 * 1000

= 50 m

Hence, In 0.05 km is 50 meters.

Thus option A is correct .

Know  more about conversions,

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Answer: 360,000

See for yourself

The probability of choosing one red bulb and then one yellow bulb from 27 bulbs (11 red, 9 yellow, and 7 purple) is calculated by multiplying the chance of picking a red bulb first and a yellow bulb second. This results in approximately 1 in 7.1, or roughly 0.14.

The question you are asking is about finding the probability that one bulb is red and one is yellow out of a total of 27 bulbs, with a distribution of 11 red, 9 yellow, and 7 purple bulbs. To calculate this probability, we use the following steps:

Using the multiplication rule of probability, we get:

P(Red then Yellow) = (11/27) × (9/26)  = 99/702 = 1/7.1 (approximately).

So the probability that one bulb is red and one is yellow is about 1 in 7.1, or approximately 0.14.

Answer:

The probability that 3 red balls are chosen is: 2.2%

Step-by-step explanation:

A bag contains 4 black, 5 red, and 6 pink balls.

Total balls in the bag= 4+5+6= 15 balls in the bag

We need to know what is the probability that 3 red balls are chosen without replacement?

[tex]P_r=\frac{R_b}{T_b}*\frac{R_b-1}{T_b-1}*\frac{R_b-2}{T_b-2}[/tex]

Where:

[tex]P_r:[/tex] Probability that 3 red balls are chosen

[tex]R_b:[/tex] Number of red balls

[tex]T_b:[/tex] Number of total balls

[tex]P_r=\frac{5}{15}*\frac{5-1}{15-1}*\frac{5-2}{15-2}\\P_r=\frac{5}{15}*\frac{4}{14}*\frac{3}{13}\\P_r=\frac{1}{3}*\frac{4}{14}*\frac{3}{13}\\P_r=\frac{2}{91}\\P_r=0.022[/tex]

[tex]P_r=0.022=2.2[/tex]%

The probability that 3 red balls are chosen is: 2.2%

Julia can type 30 words per minute.

Julia can type 150 words in five minutes.

To find out how many words she can type in one minute, divide 150 by 5, which equals 30.

[tex]\frac{150}{5} = 30[/tex]

So she can type 30 words per minute.

Answer:

HFKHP[;U7P

Step-by-step explanation: