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kotykmax [81]
2 years ago
12

16 more than craigs score is 62

Mathematics
1 answer:
Vladimir79 [104]2 years ago
8 0

Step-by-step explanation:

what is the question ?

to find Craig's score ?

if that is the case :

Craig's score = 62 - 16 = 46

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What is the equation of the line that passes through the points (5, 3) and (-3,-1)?
Liono4ka [1.6K]

Answer:

y=1/2x+1/2

m=1/2

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(5,3) and (-3,-1).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (5,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=5 and y1=3.

Also, let's call the second point you gave, (-3,-1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-3 and y2=-1.

Now, just plug the numbers into the formula for m above, like this:

m=

-1 - 3 over

-3 - 5

or...

m=

-4 over

-8

or...

m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(5,3). When x of the line is 5, y of the line must be 3.

(-3,-1). When x of the line is -3, y of the line must be -1.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (5,3) and (-3,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(5,3). y=mx+b or 3=1/2 × 5+b, or solving for b: b=3-(1/2)(5). b=1/2.

(-3,-1). y=mx+b or -1=1/2 × -3+b, or solving for b: b=-1-(1/2)(-3). b=1/2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(5,3) and (-3,-1)

is

y=1/2x+1/2

7 0
3 years ago
Find the perimeter of a rectangle with 33 inches for a width and 75 inches for the length. Have the perimeter in YARDS.
juin [17]
The answer is 72
the formula is (width+length)*2
7 0
3 years ago
Find m&lt;1 <br> A. 57<br> B. 123<br> C. 132<br> D. 93
Doss [256]

Step-by-step explanation:

\angle 1 is the exterior angle of the given \triangle.

Therefore, by remote exterior angle theorem.

\therefore \: m \angle \: 1 = 60 \degree + 63\degree \\  \\   \huge \red{ \boxed{\therefore \: m \angle \: 1 = 123 \degree }}

8 0
3 years ago
Plz help :( i have four pages that were due 2/22/21 and i havent turned it in
Naily [24]

Answer:

I cant download the pdf

Step-by-step explanation:

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3 years ago
What is the minimum value of F(x)= 10x^{2} -6x-3<br> 3/10 or -39/10
kolezko [41]

Answer: 3/10

Step-by-step explanation:

Take the derivative of 10x^2-6x-3 to get 20x-6. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.

Now do:

20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.

Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value

6 0
3 years ago
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