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3 years ago

Write the Point-slope form of the equation of the line through giving point with the given slope.

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

4 0

3). y = -1/3x + 5

4). y = -1x +5

Slope intercept form: y = mx + b
m = slope
b = y intercept

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Find the least common multiple of 6 , 2 and 9

Goryan [66]

Answer:

Step-by-step explanation:

The multiples of 6 are : 6, 12, 18, 24, 30, ......

The multiples of 2 are : 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ......

The multiples of 9 are : 9, 18, 27, 36, ......

The common multiple is 18

The least common multiple is 18

8 0

4 years ago

Please answer question three and four if you can :)<br> Show full working out ty;)

nikklg [1K]

Step-by-step explanation:

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

$D = ( \frac{2 + 5}{2}, \: \: \frac{ - 1 + 2}{2} ) = ( \frac{7}{2}, \: \: \frac{ 1}{2} ) \\ \therefore D= (3.5, \: \: 0.5) \\ \& \: A=(-1,\:\:4)...(given) \\\\ now \: by \: distance \: formula \\ \\ Length \: of \: segment \: AD \\ = \sqrt{( - 1 - 3.5)^{2} + {(4 - 0.5)}^{2} } \\ = \sqrt{(4.5)^{2} + {(3.5)}^{2} } \\ = \sqrt{20.25 + 12.25 } \\ = \sqrt{32.5} \\ \red{ \boxed{\therefore Length \: of \: segment \: AD = 5.7 \: units}}$

4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

$\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\$

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

Let us substitute x = 4 & y = 7 on the Left hand side of equation of line AB and if it gives us 0, then C lies on the line.

$LHS = 3x - y-5\\=3\times 4-7-5\\= 12-12\\=0\\= RHS$

Hence, point C (4, 7) lie on the straight line AB.

4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

4 0

4 years ago

15pts please help asap<br> 2.5 as an improper fraction?

RideAnS [48]

2.5 = 2 5/10 as a Mixed fraction

To get a improper fraction, multiply the whole number with the denominator, and then add the numerator to the answer, giving the numerator (keep the denominator number)

2 x 10 = 20
20 + 5 = 25

25/10 is your answer

hope this helps

6 0

3 years ago

There are 150 people at a restaurant 100 of them chose non-vegetarian food, and 50 of them chose vegetarian food for their dinne

Harlamova29_29 [7]

The ratio is 1:3 because every 3 people 1 is a vegetarian

5 0

3 years ago

Emma is carpeting 2 perfectly square rooms.

ivolga24 [154]

She's wrong. If you have two squares, $S_1$ with side $s_1$ and $S_2$ with side $s_2$ , it's not true that the sum of their areas is equivalent to the area of a square $S_3$ with side $s_3=s_1+s_2$ .

So, there's no point in summing the two sides. Instead, you have to compute the areas of the two squares and then sum them up.

So, the area of the first square is $2.7^2$ , and the area of the second square is $3.3^2$ .

Add these two numbers and you'll get how many squared meters of carpet she'll need.

6 0

3 years ago