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1 year ago

Find the equation of a line that passes through the point (0,1) and has a gradient of 2.

Mathematics

1 answer:

Usimov [2.4K]1 year ago

6 0

Answer:

y = 2x + 1

Step-by-step explanation:

Given point (0, 1) and the slope m = 2

<u>Use point- slope form to find the equation of the line:</u>

y - y₁ = m(x - x₁)
y - 1 = 2(x - 0)
y - 1 = 2x
y = 2x + 1

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Amy is planning the seating arrangement for her wedding reception. Each round table can sit 12 guests. The head table can sit th

storchak [24]

Answer:

23 tables.

Step-by-step explanation:

282- 8 = 274 274 divided by 12 = 22.8 round to the nearest whole number which is 23.

7 0

3 years ago

The 1992 world speed record for a bicycle (human-powered vehicle) was set by Chris Huber. His time through the measured 200 m st

Reil [10]

Answer:

a) 30.726m/s and b) 5.5549s

Step-by-step explanation:

a.) What was Chris Huber’s speed in meters per second(m/s)?

Given the distance and time, the formula to obtain the speed is

$v=\frac{d}{t}$ .

Applying this to our problem we have that

$v=\frac{200m}{6.509s}= 30.726m/s$ .

So, Chris Huber’s speed in meters per second(m/s) was 30.726m/s.

b) What was Whittingham’s time through the 200 m?

In a) we stated that $v=\frac{d}{t}$ . This formula implies that

$t=\frac{d}{v}$ .

First, observer that $19\frac{km}{h} =19,000\frac{m}{h}=\frac{19,000}{3,600}m/s= 5.2777m/s$ .

Then, Sam Whittingham speed was equal to Chris Huber’s speed plus 5.2777 m/s. So, $v=30.726\frac{m}{s} +5.2777\frac{m}{s}= 36.003 m/s.$

Then, applying 1) we have that

$t=\frac{200m}{36.003m/s}=5.5549s.$

So, Sam Whittingham’s time through the 200 m was 5.5549s.

5 0

3 years ago

Complete the square to the problem X^2+6x-16=0

marishachu [46]

Answer:

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}$

3 0

3 years ago

Determine what the next number in the sequence should be. 99.5, 98.5, 97, 95, 92.5, 89.5?

otez555 [7]

Answer:

87.5

Step-by-step explanation:

-2

8 0

3 years ago

The third day Jim plans to snow board. The boards rent for $8.95 an hour, and the boots

olganol [36]

Answer: $113.55

Step-by-step explanation:

add up the cost of the lesson, boots, board, and ticket

the lesson costs $33.80 and the ticket costs $25, these cover the whole day so no need to be multiplied. the boots cost $2 and the board costs $8.95 each hour, jim will need to pay the cost of both 5 times for 5 hours.

here is the equation to solve

33.80 + 5(8.95 + 2.00) + 25 =

33.80 + 5(10.95) + 25 =

33.80 + 54.75 + 25 =

33.80 + 79.75 = 113.55

the total cost is $113.55

4 0

2 years ago