Abe has these cans of soup in his

Marty and Ethan both wrote a function, but in different ways.

marishachu [46]

Question:

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

Answer:

Marty’s with a slope of 1/3 has the larger slope

Solution:

Given that Marty equation is:

$y + 3 = \frac{1}{3}(x+9)$

The point slope form is given as:

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

On comapring both equations,

$m = \frac{1}{3}$

Ethan wrote a function:

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

The slope is given by formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

From above two points,

$(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)$

Therefore,

$m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2$

Thus we get,

$\text{Slope of Ethan} < \text{Slope of Marty}$

Therefore, Marty’s with a slope of 1/3 has the larger slope

4 0

3 years ago

Read 2 more answers

What value makes 2 square root 51 equal to 10 square root 51x

scoundrel [369]

25 is the answer
hope it helps

4 0

3 years ago

Which of the angles is inscribed in •X ?

ira [324]

Answer:

It is BFA

Step-by-step explanation:

An inscribed angle stays inside the circle. If you go through each angle options, the other angles go out of the circle. BFA is the only angle that stays inside the circle.

4 0

3 years ago

Read 2 more answers

What is 5✓28 +✓63 In simplest radical form I need it asap.

Ksenya-84 [330]

Answer:

13✓7

Step-by-step explanation:

5✓28 + ✓63

Break the radical into perfect squares.

5 times ✓4 times ✓7 + ✓9 times ✓7

5 times 2 times ✓7 + 3 ✓7

10✓7 + 3✓7

13✓7

5 0

4 years ago

I need help finding if it’s either SOH, CAH or TOA and the indicated side of the triangle, thank you!

Brilliant_brown [7]

Answer:

$\huge\boxed{IJ \approx 2.01}$

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: $\text{sin(42)} = \frac{x}{3}$

Let's now solve for x.

$\text{sin(42)} = \frac{x}{3}$
$3 \cdot \text{sin(42)} = x$
$\text{sin(42)} \approx 0.67$
$3 \cdot 0.67 \approx 2.01$

Therefore, the length of IJ will be around 2.01.

Hope this helped!

4 0

3 years ago