Solve the following system of equations. - 9x - 5y=1 - 6x - 7y=8

1 answer:

5 0

Let's solve by eliminating
x
. Since 18 is the lowest common multiple , let's multiply the first equation by 3 and the second by -2.

Add the two equations.

Divide by -11 to isolate
y

y= -2

Substitute
y
=
−
2
into either of the 2 equations, I'll just use the second one.
x = -1

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PLZ HELP ASAP TANGENTS OF CIRCLES

bezimeni [28]

First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O.

m∠O = 2 (65°) = 130°

Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°.

m∠O + m∠C + m∠B + m∠A = 360°

Substituting the known values,
130° + 90° + 90° + m∠A = 360°

The value of m∠A is equal to 50°.

<em>Answer: 50°</em>

7 0

3 years ago

Show that x³ + y³ + z³ - 3xyz is a multiple of x+y+z

White raven [17]

x³ + y³ + z³ - 3xyz is a multiple of x+y+z.

<h3>What is a multiple?</h3>

It should be noted that a multiple simply means a number that van be divided by another a certain number if times without a remainder.

Put x + y + z = 0

= x³ + y³ + z³ - 3xyx

= 0(x² + y² + z² - xt - yz - zx)

= x³ + y³ + z³ - 3xyz = 0.

x³ + y³ + z³ = 3xyz