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3 years ago

Which expression is the factored form of 2/3 x+4

1 answer:

5 0

By expanding D it is clear that it is the factored form of 2/3x + 4

as 2/3x + 4 = 2/3x + 4*3/3

= 2/3x + (2*3)*(2/3). ( rearranging terms)

=2/3( x+ 2*3). ( taking 2*3 common)

=2/3( x + 6)

which is option D

hope it helped ^_^

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X • 1 + x/1 = A. 1 B. x C. 1 + x D. 2x

Mkey [24]

Answer:

D. D is the correct answer

5 0

3 years ago

30 points Given (-3, 1) and (3,-3). The slope of the line is ____________ . The equation of the line is _____________.

Liono4ka [1.6K]

Answer:

y = (3/2)x + 11/2

Step-by-step explanation:

As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4. Thus, the slope is

m = rise / run = 6/4 = 3/2.

Subbing the knowns into the general point-slope form of the equation of a straight line, we get

y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).

This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.

8 0

3 years ago

Read 2 more answers

How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.

lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is

∵ The vector goes 7 units at an angle $\frac{2\pi }{3}$

- That means its magnitude is 7 and its direction is $\frac{2\pi }{3}$

∴ x = 7 cos( $\frac{2\pi }{3}$ )

∴ y = 7 sin( $\frac{2\pi }{3}$ )

∵ cos( $\frac{2\pi }{3}$ ) = $-\frac{1}{2}$

∵ sin( $\frac{2\pi }{3}$ ) = $\frac{\sqrt{3}}{2}$

- Substitute them in x and y

∴ x = (7)( $-\frac{1}{2}$ )

∴ x = -3.5

∴ y = (7)( $\frac{\sqrt{3}}{2}$ )

∴ y = 3.5 $\sqrt{3}$

∴ The vector is <-3.5 , 3.5 $\sqrt{3}$ >

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <3 + -3.5 , 4 + 3.5 $\sqrt{3}$ >

∴ <3 , 4> + <-3.5 , 3.5 $\sqrt{3}$ > = <-0.5 , 4+3.5 $\sqrt{3}$ >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5 $\sqrt{3}$ >

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3 years ago

Find the circumference of the circle and show work

expeople1 [14]

Answer:

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Circumference of a circle is given by

$C = 2\pi \: r$

Given - Diameter of circle = 10 yards

$radius = \frac{diameter}{2} = \frac{10}{2} \\ \\ \implies \: 5 \: yards$

now ,

substituting the value of r in the formula of circumference ~

$C = 2 \times \frac{22}{7} \times 5 \\ \\ \implies \: C = \frac{220}{7} \\ \\ \implies \: C = 31.43 \: yards \: (approx.)$

hope helpful :D

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2 years ago

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I travelled a distance of 98km in 7.2 hours. what was my approximate average speed in km/h?

Harrizon [31]

Answer:

13.6 km/h?

Step-by-step explanation:

98 ÷ 7.2 = 13.61

7 0

4 years ago

Read 2 more answers