Y = -3x + 5
5x - 4y = -3
5x - 4(-3x + 5) = -3
5x + 4(3x) - 4(5) = -3
5x + 12x - 20 = -3
17x - 20 = -3
+ 20 + 20
17x = 17
17 17
x = 1
y = -3x + 5
y = -3(1) + 5
y = -3 + 5
y = 2
(x, y) = (1, 2)
Answer:
Eric, 9.8 meters.
Step-by-step explanation:
Use the distance formula with the given coordinate and each of the other coordinate.
Brooke
Eric
Cam
You'll see that Eric kicked the furthest distance with a distance of 9.8 meters.
Brooke kicked 9.2 meters and Cam kicked 9.4 meters. What does the distance formula really mean? When you solve for the distance between two points, you're really just creating a triangle between those two points, and you're actually looking for the hypotenuse. The slope that intersects your two points is the hypotenuse of the triangle you created.
The answer is 322 m/s. hope this helps :)
1 mi/ 5s x 1609 m/ 1 mi =322 m/s
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where
is the width and
is the length.
The perimeter of a rectangle is twice its length added to twice its width.

The length is 3 more than the width:

We can now substitute in
as
in the equation
.

Distribute the first terms:

Combine like terms:

Subtract 6 from both sides:

Divide both sides by 4:

Now we know that w = 4. We can now substitute this inside an equation to find
.

Hope this helped!
This is a problem of Standard Normal distribution.
We have mean= 12 grams
Standard Deviation = 2.5 grams
First we convert 8.5 to z score. 8.5 converted to z score for given mean and standard deviation will be:

So, from standard normal table we need to find the probability of z score to be less than -1.4. The probability comes out to be 0.0808
Thus, the <span>
probability that the strawberry weighs less than 8.5 grams is 0.0808</span>