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2 years ago

Find the slope of each line. PLS HELP TYSMMMM!

Mathematics

1 answer:

umka2103 [35]2 years ago

4 0

Answer:

Step-by-step explanation:

1. (-4, -2) (4, 0)

(0 + 2)/(4 + 4)= 2/8= 1/4

2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2

3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2

4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2

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HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum valu

xxTIMURxx [149]

Answer:

$y = \frac{1}{2}x^{2} - 3x + 11.5$

Step-by-step explanation:

Vertex form of a quadratic equation;

$y = a( x - h )^{2} + k$

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

$y = a ( x + 3 ) ^{2} + 7$

Now substitute in the given point; ( -1, 9) and solve for a;

$9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7 -7\\2 = 4a\\\frac{1}{2} = a\\$

Hence the equation in vertex form is;

$y = \frac{1}{2}(x - 3)^{2} + 7$

In standard form it is;

$y = \frac{1}{2}x^{2} - 3x + 11.5$

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3 years ago

What is the value of x? Enter your answer in the box. x =

qaws [65]

Answer:

Step-by-step explanation: its yo mama :)

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2 years ago

How to draw the construction lines?

ddd [48]

Use a tool called a protractor

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4 years ago

Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from th

xeze [42]

Answer:

(a) Circle Q is 9.4 units to the center of circle P

(b) Circle Q has a smaller radius

Step-by-step explanation:

Given

$P:(x - 1)^2 + (y + 6)^2 = 9$

$Q:(x + 4)^2 + (y + 14)^2 = 4$

Solving (a): The distance between both

The equation of a circle is:

$(x - h)^2 + (y - k)^2 = r^2$

Where

$Center: (h,k)$

$Radius:r$

P and Q can be rewritten as:

$P:(x - 1)^2 + (y + 6)^2 = 3^2$

$Q:(x + 4)^2 + (y + 14)^2 = 2^2$

So, for P:

$Center = (1,-6)$

$r = 3$

For Q:

$Center = (-4,-14)$

$r = 2$

The distance between them is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

Where:

$Center = (1,-6)$ --- $(x_1,y_1)$

$Center = (-4,-14)$ --- $(x_2,y_2)$

So:

$d = \sqrt{(1 - -4)^2 + (-6 - -14)^2$

$d = \sqrt{(5)^2 + (8)^2$

$d = \sqrt{25 + 64$

$d = \sqrt{89$

$d = 9.4$

Solving (b): The radius;

In (a), we have:

$r = 3$ --- circle P

$r = 2$ --- circle Q

By comparison

$2 < 3$

Hence, circle Q has a smaller radius

4 0

3 years ago

If you were to roll the dice one time what is the probability it will land on 4

vovangra [49]

Answer: 1/6

Step-by-step explanation: To find the probability of rolling a 4, let's use our ratio for the probability of an event which is shown below.

Number of favorable outcomes/total number of outcomes

Since only one side of a number cube has a 4 on it, the number of favorable outcomes for rolling a 4 is 1 and since there are six sides to a number cube and it's equally likely that the cube will land on any of these sides, the total number of outcomes is 6.

So the probability of rolling a 4 is 1/6 which is equivalent

to 0.167 or 16.7%.

That means it is't likely that you would roll a 4 for instance but it's just as likely as rolling any other number.

3 0

3 years ago

Read 2 more answers