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2 years ago

Select ALL the correct answers.

Mathematics

1 answer:

Anna71 [15]2 years ago

3 0

Answer:

2nd and 6th options

Step-by-step explanation:

y = |x+4| - 4 has a vertex of (-4, -4), and the vertex of the given graph is (3, 1). The shift between the first and second points given is 7 units to the left (6) and 5 units down (2)

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There are 3 times more kittens than puppies in a box. Together there are 24 animals. How many kittens are there?

Paha777 [63]

kitten : puppies

3:1

Total no.

3+1 = 4

Therefore

24÷4 = 6

(each of ratio represent 6 animals)

So,

3×6

= 18

Answers

18 kitten

6 0

3 years ago

Hat is the center and radius of the circle with equation (x − 5)2 + (y + 3)2 = 16?

fgiga [73]

$\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
center~~(\stackrel{}{{{ h}}},\stackrel{}{{{ k}}})\qquad \qquad 
radius=\stackrel{}{{{ r}}}\\\\
-------------------------------\\\\
(x-5)^2+(y+3)^2=16\implies [x-\stackrel{h}{5}]^2+[y-(\stackrel{k}{-3})]^2=\stackrel{r~~2}{4}$

4 0

3 years ago

Consider the function f(x)=10x^2+20x-11

Strike441 [17]

Answer: Vertex = (-1, -21) y-intercept = (0,-11)

Step-by-step explanation:

8 0

3 years ago

Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$

Last step: substitute the slope and y intercept into y=mx+b.

$y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}$

That is the answer to this problem.

I hope this helps.

3 0

3 years ago

Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros.

kifflom [539]

The given statement is:
An integer is divisible by 100 if and only if its last two digits are zeros

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have last two digits zeros.

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, the option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true

6 0

3 years ago