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pychu [463]
3 years ago
11

(6) Give the equation of the line passing through the points (1,5) and (-2, 6) in

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0

Answer:

⅓x + y = 5⅓

or

⅓x + y = 5.3333333

or

⅓x + y = 16/3

Step-by-step explanation:

Solve for slope using rise/run

Y2 - Y1 / X2 - X1

(6) - (5) / (-2) - (1)

1 / -3

Slope: -⅓

y = -⅓x + b

solve for b using one of the points

I'll be using (1,5)

Substitute the point into the equation

5 = -⅓(1) + b

5 = -⅓ + b (add ⅓ to both sides)

+⅓ +⅓

5⅓ = b

5⅓ can also be written as 16/3 or 5.333333

The equation is now:

y = -⅓x + 5⅓

Convert to standard form by adding ⅓x to both sides

y = -⅓x + 5⅓

+⅓x +⅓x

Solution: ⅓x + y = 5⅓

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Least to greatest again? I can't visualize this one.. -11/5, -2.4, 1.6, 15/10, -2.25 Thanks
Tcecarenko [31]

Answer:

Hey again! Just remember about the number lines. If it's easier, you can use a calculator to divide the fractions to make them easier to visualize in decimal form.

The answer to this one is:

-2.4

-2.25

-11/5 (which is -2.2)

-15/10 (1.5)

-1.6

6 0
3 years ago
Can I get some help please
Mamont248 [21]
-2(-2)+3=7
-2(0)+3=3
-2(4)+3=-5
3 0
3 years ago
Can someone help? This is so hard
Sunny_sXe [5.5K]

Answer:

#1 x = 31°

#2 x = 125°

Step by Step Explanation:

#1

  • By the theorem of intersecting secants outside of the circle, we have:

  • x=\frac{1}{2}(103\degree-41\degree)

  • \implies x=\frac{1}{2}(62\degree)

  • \implies \red{\bold{x=31\degree}}

#2

  • By the theorem of intersecting chords, we have:

  • x=\frac{1}{2}(96\degree+154\degree)

  • \implies x=\frac{1}{2}(250\degree)

  • \implies \purple{\bold{x=125\degree}}
4 0
2 years ago
Find the absolute maximum and absolute minimum values of f on the given interval. (If an answer does not exist, enter DNE.)
vodka [1.7K]

Answer:

absolute max is 120 and absolute min is -8

Step-by-step explanation:

Find critical numbers

f'(x) = 3x^2 - 12x + 9 = 0

= 3(x^2 - 4x + 3) = 0

3(x-3)(x-1) = 0

(x-3) = 0 or (x-1)=0

x = 1,3

Test them!

x<1     Sign of f' on this interval is positive

1<x<3 Sign of f' on this interval is negative

x>3    Sign of f' on this interval is positive

f(x) changes from positive to negative at x = 1 which means there is a relative maximum here.

f(x) changes from negative to positive at x = 3 which means there is a relative minimum here.

Test the endpoints to find the absolute max and min.

f(-1) = -8

f(1) = 12

f(3) = 8

f(7) = 120

The absolute maximum value of f is 120 and the absolute minimum value of f is -8.

7 0
3 years ago
The sum of 22 and a number is 41
Mariulka [41]

Answer:

19

Step-by-step explanation:

sum means answer to an addition problem, so 41 - 22 = 19, so 22 + 19 = 41

6 0
2 years ago
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