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2 years ago

8) Does the table show a function? *

Mathematics

2 answers:

pickupchik [31]2 years ago

6 0

Answer:

yes

Step-by-step explanation:

Anni [7]2 years ago

6 0

Answer:

Step-by-step explanation:

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What is the equation of this graphed line?

Veseljchak [2.6K]

Answer:

Slope Intercept form of the equation is $y = \frac{1}{3} x - 9$

Step-by-step explanation:

Here, the two point line are given as is A(-6,-3) and B(6,-7)

The slope of the line AB = $m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-7-(-3)}{6-(-6)} = \frac{-7 + 3}{6 + 6} = \frac{4}{12} \\\implies m = \frac{1}{3}$

⇒ the slope of AB is m = (4/3)

By SLOPE INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)= m (x-x0)

⇒ The equation of line with point (6,-7) is:

$y + 7 = \frac{1}{3} (x-6) \implies 3y + 21 - x + 6 - 0\\or, -x + 3y + 27 = 0$

Now, the given equation is -x + 3y = -27

Convert it in the SLOPE INTERCEPT FORM y = mx + c

We get, 3y = x - 27

or, $y = \frac{1}{3} x - \frac{27}{3} \\\implies y = \frac{1}{3} x - 9$

Hence, the Slope Intercept form of the equation is $y = \frac{1}{3} x - 9$

3 0

2 years ago

Write the quadratic equation in standard form going through the points (-1,-5) (0,-4) (2,10)

Alexxandr [17]

Dismal high dash app nah hell shall facho call hi Chuck coco go scanners cop

3 0

2 years ago

An 8.0 kg block is moving at 3.2 m/s. A net force of 10 N is constantly applied on the block in the direction of its movement, u

Softa [21]

Answer:

5.02 m/s

Step-by-step explanation:

We are given that

Mass of block,m=8 kg

Initial velocity,u=3.2 m/s

Net force ,F=10 N

Distance,s=6 m

We have to find the approximate final velocity of the block.

We know that $a=\frac{F}{m}$

Using the formula

$a=\frac{10}{8}=\frac{5}{4} m/s^2$

We know that

$v=\sqrt{u^2+2as}$

Using the formula

$v=\sqrt{(3.2)^2+2\times \frac{5}{4}\times 6}$

$v=5.02 m/s$

8 0

2 years ago

What is the exact length of each side?

Alla [95]

Answer:

$6a^{2} \sqrt{ab}$

Step-by-step explanation:

area of square = side x side

thus, each side = square root of area

$\sqrt{36a^5b}$ = 6 $\sqrt{a^{4} ab}$ = 6 $a^{2}$ $\sqrt{ab}$

6 0

2 years ago

Prove that: <br> 27^10-9^14 is divisible by 24

Alexandra [31]

27^10-9^14

=3^30 - 3^28

=3^28 (3^2-1)

=3^28 ·8

=2^27 ·3·8

=3^27 · 24 is divisible by 24

4 0

2 years ago

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