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Morgarella [4.7K]
3 years ago
10

Find the y-intercept of the graph shown. Pls show work!

Mathematics
1 answer:
andreev551 [17]3 years ago
3 0
-4
It is the point where the line touches the y-axis
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A lawyer drives from her​ home, located 2 miles east and 3 miles north of the town​ courthouse, to her​ office, located 5 miles
LekaFEV [45]
Let <span>the town​ courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula d= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} to get the <span>distance between lawyer's home and office:
</span><span>
</span><span /> d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}=\sqrt{(-2-5)^2+(3-(-21))^2}=
=\sqrt{7^2+24^2}  =  \sqrt{49+576} =  \sqrt{625} =25.
Answer: 25 miles.

7 0
4 years ago
How many 2/3 cup servings are in four cups of pistachios?
sammy [17]

Answer: One cup is same as 3/3 cups. 4 cups is same as 4*(3/3) cups thats 12/3 cups. Then you can conclude that if you have 2/3 cups, you will need 6 of them to get 4 cups.

Step-by-step explanation:

8 0
3 years ago
Solve x2 – 3x - 108 = 0.
rewona [7]
X=12, -9 I hope this somewhat helps you :)
7 0
3 years ago
Hey there! posted picture of question help please
Amiraneli [1.4K]
For this case we have the following function:
 f (x) = (1/6) ^ x
 We must evaluate the function for x = 3
 We have then:
 f (3) = (1/6) ^ 3
 Rewriting:
 f (3) = (1/216)
 Answer:
 
The function evaluated at x = 3 is:
 
f (3) = (1/216)
 
option C
8 0
4 years ago
Read 2 more answers
What is the length of the line?
mamaluj [8]

Hi there!

\large\boxed{\text{ D. } \sqrt{136}}

Use the Pythagorean theorem to find the length of the line.

If we draw an imaginary right triangle using the given line as the hypotenuse, we can derive a height of 6 units and a length of 10 units.

Use the Pythagorean theorem equation:

c² = a² + b²

Plug in the height and length:

c² = 6² + 10²

Simplify:

c² = 36 + 100

c² = 136

Take the square root of both sides:

c = √136. The correct answer is D.

8 0
3 years ago
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