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2 years ago

If A ⊂ B, then which of the following describes the relationship between A and B?

Mathematics

1 answer:

Ne4ueva [31]2 years ago

6 0

Could you provide the answer choices please?

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Write the equation of the line with a slope of 2 that passes through the points -2,-7 and 5,7

lubasha [3.4K]

Answer:

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

Step-by-step explanation:

Given:

Slope = 2 = m ( say )

Let,

point A( x₁ , y₁) ≡ ( -2 , -7 )

point B( x₂ , y₂) ≡ ( 5 , 7 )

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

$(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\$

Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

$(y - y_{1} )=m\times(x-x_{1}) \\$

Substituting the given values in a above equation we get

$(y-(-7))=2\times (x-(-2))\\ \\(y+7)=2(x+2)\\\\(y+7)=2x+4\\2x-y=3\\2x-y=3...............\textrm{which is the required equation of the line AB}$

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

8 0

2 years ago

What is the decimal expansion for 1/9

nika2105 [10]

1/9 as a decimal would be 0.111111

5 0

2 years ago

If f(x)=x^2- 4 and g(x)=x^2 plus 2 x,

gregori [183]

Answer:

$\huge\boxed{(f-g)\left(-\dfrac{1}{3}\right)=-3\dfrac{1}{3}}$

Step-by-step explanation:

$\text{We have}:\\\\f(x)=x^2-4\ \text{and}\ g(x)=x^2+2x\\\\(f-g)(x)=f(x)-g(x)\\\\\text{therefore}\\\\(f-g)(x)=(x^2-4)-(x^2+2x)=x^2-4-x^2-2x\\\\=(x^2-x^2)-2x-4=-2x-4\\\\(f-g)\left(-\dfrac{1}{3}\right)\to\text{put}\ x=-\dfrac{1}{3}\ \text{to the equation of the function}\ (f-g)(x):\\\\(f-g)\left(-\dfrac{1}{3}\right)=-2\left(-\dfrac{1}{3}\right)-4=\dfrac{2}{3}-4=-3\dfrac{1}{3}$

6 0

3 years ago

Can someone help me these 2 questions? PLS and ty!

adelina 88 [10]

Answer:

y=60° b=60°

Step-by-step explanation:

the sum of all degrees of interior triangle is 180

in the first one, 30° and 90° have been given.(that small square represent 90°)

so 180°-90°-30°=60°

in the second one, the 120° is on the other side of a line, a line has a degree of 180, therefore the interior angle is 60°, the same rule 180°-2*60°=60°

5 0

1 year ago

Read 2 more answers

For the function f(x) = x + 9, find (f o f-1)(5) A. 14 B. 5 C. -5 D. 25

Alex Ar [27]

F-1:
y=x+9
y-9=x
x-9=f-1
f-1(14)=14-9=5 f-1(5)=5-9=-4 f-1(-5)=-5-9=-14 f-1(25)=25-9=16
f(14)=14+9=24 f(5)=5+9=14 f(-5)=9-5=4 f(25)=25+9=34

5 0

2 years ago