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3 years ago

A line containing the points (4,4) and (8,9)

Mathematics

2 answers:

dedylja [7]3 years ago

5 0

Answer:

y=1.25x-1

Step-by-step explanation:

Hope this helps! PS I'm not assuming anything

strojnjashka [21]3 years ago

3 0

Answer:

im assuming slope : 5/4 is slope

Step-by-step explanation:

the formula (y₂ - y₁) / (x₂ - x₁) is how you get slope. plug stuff in and you get (9 - 4) / (8 - 4) and thats 5/4

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A 30-60-90 triangle has a short leg of 6.<br> What is the length of the long leg?

lutik1710 [3]

Answer:

6√3

Step-by-step explanation:

4 0

3 years ago

Factor completely<br> m^2 — Зm — 18

lilavasa [31]

Answer:

(m + 3) (m - 6)

Step-by-step explanation:

Simplify the following:

m^2 - 3 m - 18

The factors of -18 that sum to -3 are 3 and -6. So, m^2 - 3 m - 18 = (m + 3) (m - 6):

Answer: |

| (m + 3) (m - 6)

4 0

3 years ago

Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, 5) on the same

Aleksandr-060686 [28]

Answer:

4.2 units

most likely answer choice B

Step-by-step explanation:

(1, 2) and (4, 5)

To find the distance between two points, we use the distance formula:

$d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }$

Let's plug in what we know.

$d = \sqrt{(4 - 1)^2 + (5 - 2)^2 }$

Evaluate the parentheses.

$d = \sqrt{(3)^2 + (3)^2 }$

Evaluate the exponents.

$d = \sqrt{(9) + (9) }$

Add.

$d=\sqrt{18}$

Evaluate the radical.

d = 4.24

Round to the nearest tenth.

d = 4.2 units

*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.

Hope this helps!

6 0

3 years ago

You are watering a garden. The height h (in feet) of water spraying from the garden hose can be modeled by h(x)=−0.1x2+0.7x+3, w

swat32

Answer:

$g(x) = -0.1x^2 + 0.5x + 3.6$

Step-by-step explanation:

Given

$h(x) = -0.1x^2 + 0.7x + 3$

Required

Determine the new function

From the question, we understand that the new function wants the water to hit the ground 1 ft farther.

1 ft farther implies x + 1

So, in the given function, we substitute x + 1 for x in $h(x) = -0.1x^2 + 0.7x + 3$

This gives:

$h(x + 1) = -0.1(x + 1)^2 + 0.7(x + 1) + 3$

Expand Bracket

$h(x + 1) = -0.1(x + 1)(x + 1) + 0.7(x + 1) + 3$

$h(x + 1) = -0.1(x^2+2x+1) + 0.7(x + 1) + 3$

$h(x + 1) = -0.1x^2-0.2x-0.1 + 0.7x + 0.7 + 3$

Collect Like Terms

$h(x + 1) = -0.1x^2-0.2x + 0.7x + 0.7 + 3-0.1$

$h(x + 1) = -0.1x^2 + 0.5x + 3.6$

Hence, the new function is:

$g(x) = h(x + 1) = -0.1x^2 + 0.5x + 3.6$

$g(x) = -0.1x^2 + 0.5x + 3.6$

3 0

3 years ago

A rectangle has a width of 7. 9 ft and a perimeter of 27. 2 ft.

antiseptic1488 [7]

Answer:

The height would be 5.7 ft and the area would be 45.03

THIS IS A 2D SHAPE

7 0

3 years ago