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4 years ago

Find the point where the graph of -2x+2y=4 crosses the y-axis?

Mathematics

2 answers:

topjm [15]4 years ago

7 0

When graph crosses y-axis, x=0

-2x+2y=4
-2*0+2y=4
2y=4
y=2

x=0, y=2,
so point is (0,2).

s2008m [1.1K]4 years ago

6 0

See the picture reply.

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Please answer question three and four if you can :) 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.

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4 years ago

How many solutions does the system of linear equations have ? Y=3/4x+12

Charra [1.4K]

Infinitely many/all real numbers

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3 years ago

What is the sum of 1.25 + (-⅓) + (-⅞)

Law Incorporation [45]

Answer: 0.04166

Step-by-step explanation:

1.25+(-1/3) +(-7/8)

1.25 - 1/3 - 7/8

= -8/24 - 21/24

= -8 - 21/ 24

= -29/24

= 1.25 - 29/24

= 1.25 - 1.20833

= 0.04166

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2 years ago

If a sphere has a radius of 13 units what is the approximate volume

shtirl [24]

Answer:

The volume of sphere is 9200units³

Step-by-step explanation:

Given that the volume of sphere is (4/3)πr³. So use this formula to find the volume :

radius = 13units

Volume = (4/3)×π×13³

= 9200units³ (3s.f)

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3 years ago

Which statement is an inverse of p?

lana66690 [7]

The 2nd one is the Inverse. If ~p then ~q

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4 years ago