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Paraphin [41]
3 years ago
8

What is the slope of the line that passes through the points (2, –3) and (–2, 5)? 2 1/2 -1/2 -2

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

Answer: The slope is  -2.

Step-by-step explanation:

(2,-3)

(-2,5)

Using the two given points,  you can find the slope by finding the difference in the y coordinates and diving it by the difference in the x coordinates.

y coordinates:  -3 - 5= -8

x coordinates;  2-(-2) = 4  

Slope:  -8/ 4 = -2  

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The point (-5, 3) is reflected across the x axis. What are the coordinates of this reflection? Group of answer choices
harina [27]

Answer:

( -5, -3)

Step-by-step explanation:

8 0
2 years ago
What is the length of AC
meriva
Hi!
This is a fun one, as it delves into basic trigonometry.

We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,

a² + b² = c²

We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)

Let's do the one on the right first.

We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).

a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6

Therefore, the length of DC is about 7.6.

Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.

Have a great one!
7 0
2 years ago
What is the mean for the data shown in the dot plot? 4 5 6 10
RSB [31]

Answer:

Mean = 6.25

Step-by-step explanation:

Data values: 4, 5, 6, 10

Mean = (Sum of all values)/(Number of values)

Mean = (4 + 5 + 6 + 10)/4

Mean = 25/4

Mean = 6.25

3 0
3 years ago
Read 2 more answers
X^2 + x^2=6^2 what is x​
nikitadnepr [17]

Answer:

x = ±3 sqrt(2)

Step-by-step explanation:

x^2 + x^2=6^2

Combine like terms

2x^2 = 6^2

Divide each side by 2

x^2 = * 6^2/2

Take the square root of each side

sqrt(x^2) =± sqrt(  6^2/2)

Remember that sqrt(a/b) = ±sqrt(a ) /sqrt(b)

x = ±sqrt(6^2)/sqrt(2)

x = ±6 /sqrt(2)

We do not leave square roots in the denominator, so we multiply the top and bottom by sqrt(2)

x = ±6 /sqrt(2) * sqrt(2)/ sqrt(2)

x = ±6 *sqrt(2) /( sqrt(2)*sqrt(2))

x =  ±6 sqrt(2) /(2)

x = ±3 sqrt(2)

5 0
3 years ago
Read 2 more answers
Give a rule to the function. {(2,5), (3,10), (4,17), (√3, 4)}
Luda [366]
f(x)=x^2+1
3 0
3 years ago
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