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3 years ago

Help with #10 plz...

Mathematics

1 answer:

andrezito [222]3 years ago

8 0

A. is 21.98 cm
b. is 22 cm

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Question 8: Find the equation of the straight line that:

Scorpion4ik [409]

Answer:

$y=4x+6$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

1) Plug the gradient into the equation (b)

$y=mx+b$

We're given that the gradient of the line is 4. Plug this into $y=mx+b$ as m:

$y=4x+b$

2) Determine the y-intercept (b)

$y=4x+b$

Plug in the given point (1,10) as (x,y) and solve for b

$10=4(1)+b\\10=4+b$

Subtract 4 from both sides to isolate b

$10-4=4+b-4\\6=b$

Therefore, the y-intercept of the line is 6. Plug this back into $y=4x+b$ as b:

$y=4x+6$

I hope this helps!

8 0

2 years ago

Read 2 more answers

Please help I don’t know how to do this

mina [271]

Answer:

f(x) = -2x + 7, when x > 1

f(x) = 4x + 1 when x ≤ 1

Step-by-step explanation:

The right side graph passe through points (1,5) and (2,3).

Hence, the equation of the line

$\frac{y - 5}{5 - 3} = \frac{x - 1}{1 - 2}$

⇒ (y - 5) = 2(1 - x)

⇒ y - 5 = 2 - 2x

⇒ y = -2x +7.......... (1)

Now, the left side graph passes through points (1,5) and (0,1)

Therefore, the equation of the graph will be

$\frac{y - 5}{5 - 1} = \frac{x - 1}{1 - 0}$

⇒ y - 5 = 4(x - 1)

⇒ y = 4x + 1 ........ (2)

Hence, the equation (1) gives the function in the right side of the given graph which does not include the point (1,5) and extends to the right from this point.

Therefore, f(x) = -2x + 7, when x > 1 (Answer)

Again, equation (2) gives the function in the left side of the given graph which includes the point (1,5) and extends to the left from this point.

Therefore, f(x) = 4x + 1 when x ≤ 1 (Answer)

5 0

3 years ago

The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Rob

Yuki888 [10]

250 pounds of Robusta beans.

3 0

2 years ago

Read 2 more answers

Help ASAP Please

aleksklad [387]

The probability that a student uses the Internet, given that he or she is in eighth grade is 8/13 or 0.66

Step-by-step explanation:

From the table shown:

The students in the eighth grade = 13
The eighth grade students using internet = 8

P(student uses the Internet in eighth grade) = P(eighth grade students using internet) / P(total students in the eighth grade)

⇒ 8/13

⇒ 0.66

6 0

2 years ago

Please help!

Nadusha1986 [10]

5% = 1/20
so if 35 pages are 1/20th of the book, the book would be 20 x 35 pages long.
20 x 35 = 700 Pages

3 0

3 years ago