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goblinko [34]
3 years ago
14

Need help for question 8 and 9. I need the equation that’s passes through the points!

Mathematics
1 answer:
dsp733 years ago
4 0

Answer:

Step-by-step explanation:

Question 8

Let the equation of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

y = mx + b

Here, m = slope and y-intercept = b

Since, m = \frac{y_2-y_1}{x_2-x_1}

For two points (1, 4) and (5, 8),

m = \frac{8-4}{5-1}

m = 1

Equation will be,

y = (1)x + b

y = x + b

Since, this line passes through (1, 4),

4 = 1 + b

b = 3

Therefore, equation of the line will be,

y = x + 3

Question 9

Let the equation is y = mx + b

m = \frac{y_2-y_1}{x_2-x_1}

For two points (2, 10) and (6, 4)

m = \frac{10-4}{2-6}

m = -\frac{3}{2}

By substituting the value of 'm' in the equation,

y = -\frac{3}{2}x+b

Since, this line passes through (2, 10)

10 = -\frac{3}{2}(2)+b

b = 10 + 2

b = 12

Therefore, equation of the line will be,

y=-\frac{3}{2}x+12

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√108<br><img src="https://tex.z-dn.net/?f=9%20%5Ctimes%20%5Cfrac%7B13%7D%7B20%7D%20" id="TexFormula1" title="9 \times \frac{13}{
ki77a [65]
I'm assuming your allowed to use a calculator for this? That's what I would do.
\sqrt{108}  = 10.39
To go about the fraction, take the whole number and times it by the denominator, then add in the numerator to create a new fraction(a whole one not mixed). Then simply divide the numerator by the denominator.
9 \times 20 = 180
180 + 13 = 193
193 is the new numerator and the new whole fraction is this and dividing it out gives you,
\frac{193}{20}  = 9.65
For the third one, just input it into a calculator,
2\pi + 3.4 = 9.68
4 0
3 years ago
Tonya packed different boxes with unit cubes. Which box has a volume of 16 cubic units?
boyakko [2]
The fourth one (The small one).
7 0
3 years ago
Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north o
My name is Ann [436]

Answer:

≈11.4

Step-by-step explanation:

We know that, Ryan lives 2 blocks west and 5 blocks south of Devin

=> Coordinate of Ryan: (-2,-5). Because:

  • 2 blocks west = 2 unit to the left = -2
  • 5 blocks south = 5 unit go down= -5

Andy lives 7 blocks east and 2 block north of Devin.

=>Coordinate of Andy: (7,2), because:

  • 7 blocks east = 7 unit ti the right = 7
  • 2 block north = 2 unit go up = 2

Hence, to find out the distance of Ryan and Andy, we use distance formula as below:

\sqrt{(2+5)^{2} + ((7+2)^{2} }  ≈11.4

3 0
3 years ago
Read 2 more answers
Which of the following lists is in order from smallest to largest?
IRINA_888 [86]

1/2 , 5/8, 7/11, 2/3

7 0
3 years ago
Read 2 more answers
The sum of a number and 10​
adell [148]

Answer:

10 + x

Step-by-step explanation:

Sum means add

Hope this helps you :)

pls give me brainlest ;)

3 0
3 years ago
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