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3 years ago

QUESTION IN PICTURE

Mathematics

1 answer:

Rashid [163]3 years ago

4 0

Answer:

3 6/5

Step-by-step explanation:

the fraction is its kinda blurry

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Write an equation for the line parallel to the given line that contains C(4,8);y=-3x+4

Brrunno [24]

Parallel line means they have the same slope
y = mx + b
where m = slope
y = -3 + 4
here the slope is negative 3
y = -3x + b
plug in (4, 8)
8 = -3(4) + b
b = 8 + 12
b = 20

The answer is y = -3x + 20

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3 years ago

Work out m and c for the line: 3 y + 6 x = − 3

Usimov [2.4K]

Answer:

m is -2 and c is -1

Step-by-step explanation:

• Let's first phrase out the general equation of a line

${ \rm{y = mx + c}}$

m is the slope
c is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

${ \rm{3y + 6x = - 3}}$

• let's make y the subject in order to make the equation in slope - intercept format.

→ remember to apply "subject making knowledge"

${ \rm{3y = - 3 - 6x}} \\ \\ { \rm{3y = - 6x - 3}} \\ \\ { \rm{ \frac{3y}{3} = \frac{ - 6x}{3} - \frac{3}{3} }} \\ \\ { \boxed{ \rm{y = - 2x - 1}}}$

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

${ \rm{m \: \dashrightarrow \: - 2}} \\ \\ { \rm{c \: \dashrightarrow \: - 1}}$

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3 years ago

Vijay has a collection of 50 number cubes that are each 1 cubic inch. He finds a box that is 4 inches high.He fits 12 cubes into

Lera25 [3.4K]

No, Vijay cannot fit all cubes into the box.

Solution:

Total number of cubes = 50

Volume of each cube = 1 cubic inch

Number of cubes fit in the bottom of the box = 12

Area of the box = l × b = 12 square inch

Height of the box = 4 inch

Volume of the box = l × b × h

= 12 × 4

Volume of the box = 48 cubic inch

So, 48 cubes can only fit in the box.

Hence, Vijay cannot fit 50 cubes into the box.

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4 years ago

Is the mean value theorem for integrals the same as the mean value thoerem for derivatives?

ivanzaharov [21]

Yes. The two theorems are equivalent statements given that the fundamental theorem of calculus is true.

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3 years ago

What are the prime factor of 625 a. 25.25 b.1,5,5,5,5 c.5,5,25 d.5,5,5,5

Natalka [10]

d.5,5,5,5. A prime number is a number only divisible by 1 and itself. 1 is not a prime number.

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3 years ago

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