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2 years ago

Determine the solution to the system of equations below x - 3y = 1.

Mathematics

1 answer:

zhenek [66]2 years ago

5 0

Answer:

x = 7 , y = 2

Step-by-step explanation:

It is a linear equation in 2 variables so it can have infinite solutions

Put x=7 Then,

7 - 3y = 1

-3y = 1-7

-3y = -6

y = -6/-3 = 6/3

y = 2

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YALL HELP ME<br> By the definition of similar polygons, the lengths of corresponding sides are_____

deff fn [24]

Similar Polygons

Similar polygons are polygons whose corresponding angles are congruent and their corresponding sides are proportional. In other words, Polygons that have the same shape but not necessarily the same size are called similar polygons.

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3 years ago

The radius of a circle is 8 feet. What is the circle's area?<br> Use 3.14 for .

Fofino [41]

Answer:

200.96

Step-by-step explanation:

3.14*8*8=200.96

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3 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

3 years ago

Is 1500 ml greater than less than or equal to 1.5 l?

Aleks [24]

Is 1500 ml greater than less than or equal to 1.5 l is equal.

4 0

3 years ago

Savatey [412]

Answer:

Step-by-step explanation:

(X1, Y1) = (-3,-2)

(X2,Y2)=(4,8)

SLOPE= (Y2-Y1) / (X2-X1)

= (8-(-2)) / (4-(-3))

=(8+2) / (4+3)

= 10/7

Hope it was helpful

5 0

3 years ago