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3 years ago

Solving systems of equations using substitution

Mathematics

1 answer:

Semenov [28]3 years ago

3 0

Put x=-2 in x-y=-2
-2-y=-2
-y=0
y=0
x=-2
that's your answer.

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PLZ HELP ASAP TANGENTS OF CIRCLES PROBLEMS

quester [9]

A circumscribed angle is that which is formed by the intersection of the two tangent lines in a circle. With this, we can conclude that segments AC and AB are tangent to circle O. The tangent lines forms a right angle with the radius of the circle drawn from the center of the circle to the tangent point.

By the explanation above, we can say that angles C and B are equal to 90° and that triangle ACO and triangle ABO are congruent. Which means that segment AC is equal to segment AB. Thus, the length of AB is also 4.

<em>Answer: 4 units</em>

7 0

3 years ago

20% of x is 11. What is x?

ipn [44]

Answer:

Step-by-step explanation:

20% is the same as 1/5, so we can multiply 11 by 5:

11*5=55

5 0

3 years ago

A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.

vekshin1

Answer:

$x^2-12x+27 =0$

Step-by-step explanation:

Given a Parabola that intersects the x-axis at x=3 and x=9.

I presume you want to determine the equation of the parabola.

You can use this form:

Given roots of a parabola, the equation of the parabola is derived using the formula:

$x^2-($Sum of Roots)x+Product of Roots =0\\Since roots are 3 and 9, the equation becomes:\\x^2-(3+9)x+(3X9) =0\\x^2-12x+27 =0$

The equation of the parabola is:

$x^2-12x+27 =0$

8 0

3 years ago

Amir drove from Jerusalem down to Lowest Place on earth, the Dead Sea descending at a rate of 12 meters per minute he was at sea

Oliga [24]

Answer:

see below for a graph

Step-by-step explanation:

It is convenient to use a point-slope form of the equation of a line for graphing, since we know the slope is -12 m/min and the point is (30, 0) at sea level.

The horizontal axis is minutes; the vertical axis is meters above sea level. The graph cannot extend below -413 meters from sea level, as that is the lowest place on earth.

5 0

3 years ago

In ΔABC, A= 30, B=120 and a= 6cm. Find the value of b, correct to 1 decimal place

ludmilkaskok [199]

Answer:

About 10.4 cm

Step-by-step explanation:

By the Law Of Sines:

$\dfrac{6}{\sin 30}=\dfrac{b}{\sin 120} \\\\\\b=\dfrac{6}{\sin 30}\cdot \sin 120\approx 10.4\text{ cm}$

Hope this helps!

5 0

3 years ago