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3 years ago

Work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)

Mathematics

1 answer:

leva [86]3 years ago

4 0

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

$y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}$

Hope this helps.

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A thread is wound 200 times round a reel of diameter 5 cm. Use the value 3 for it to find the approximate length of the thread i

Radda [10]

Answer:

Length of the thread = 30 metres

Step-by-step explanation:

Length of the thread in one round of a reel = Circumference of the reel

C = $2\pi r$

Since radius of the reel = $\frac{\text{Diameter}}{2}$

= $\frac{5}{2}$

= 2.5 cm

Circumference of the reel = 2(π)(2.5)

= 5π

= 5×3

= 15 cm

Length of the thread wound in one round around the reel = 15 cm

Since, thread is wound 200 times round a reel, length of the thread

= 200 × 15

= 3000 cm

≈ 30 metres

Therefore, Option (B) will be the answer.

0 0

3 years ago

Simplify the expression below. (2n/6n+4)(3n+2/3n-2)

andrezito [222]

Answer:

$\frac{n}{3n-2}$

Step-by-step explanation:

Given the expression:

$\frac{2n}{(6n+4)} \cdot \frac{3n+2}{3n-2}$

Using the distributive property: $a \cdot (b+c) =a\cdot b+a\cdot c$

$\frac{2n}{2(3n+2)} \cdot \frac{3n+2}{3n-2}$

Simplify:

$\frac{2n}{2} \cdot \frac{1}{3n-2}$

Simplify:

$\frac{n}{3n-2}$

Therefore, the simplified given expression is, $\frac{n}{3n-2}$

7 0

3 years ago

Read 2 more answers

kkurt [141]

Answer:

$88.

Step-by-step explanation:

Do 22 * 4, your answer should be 88.

7 0

3 years ago

What is the slope of the equation 2y = 6x - 8? 2 3 4 6

alexira [117]

The slope is 3 because you need to use the slope-intercept form y=mx+b to find the slope of m

8 0

4 years ago

Read 2 more answers

at the mall the cost of a pretzel is $2 less than the cost of some ice cream. five ice creams cost the same as nine pretzels. fi

Elanso [62]

Cost of one pretzel is $2.5 and cost of one ice cream is $4.5

Step-by-step explanation:

Let,

Cost of pretzel = x

Cost of ice cream = y

According to given statement;

the cost of a pretzel is $2 less than the cost of some ice cream.

x = y - 2 Eqn 1

five ice creams cost the same as nine pretzels.

9x = 5y Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$9(y-2)=5y\\9y-18=5y\\9y-5y=18\\4y=18$

Dividing both sides by 4

$\frac{4y}{4}=\frac{18}{4}\\y=4.5$

Putting y=4.5 in Eqn 1

$x=4.5-2\\x=2.5$

Cost of one pretzel is $2.5 and cost of one ice cream is $4.5

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago