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4 years ago

The first equation in a system is 5x+2y=-4. Which equation gives a system with no solution.

Mathematics

1 answer:

abruzzese [7]4 years ago

8 0

Answer:

= 0.8 + -0.4y

Step-by-step explanation:

Simplifying

5x + 2y = 4

Solving

5x + 2y = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

5x + 2y + -2y = 4 + -2y

Combine like terms: 2y + -2y = 0

5x + 0 = 4 + -2y

5x = 4 + -2y

Divide each side by '5'.

x = 0.8 + -0.4y

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If arc XV = 80° and arc YX = 120°, what is the measure of ?YUV?

kramer

Answer:

The measure of angle YUV is 40°

Step-by-step explanation:

Consider the diagram of this question is attached below,

Where, Tangent line UV and secant XY intersect outside the circle at U,

Since,

$\widehat{XV}+\widehat{XY}+\widehat{VY}=360^{\circ}$

We have,

$\widehat{XV}=80^{\circ}, \widehat{XY}=120^{\circ}$

$\implies 80^{\circ}+120^{\circ}+\widehat{VY}=360^{\circ}$

$200^{\circ}+\widehat{VY}=360^{\circ}$

$\widehat{VY}=360^{\circ}-200^{\circ}=160^{\circ}$

Since, the measure of intercepted angle outside the circle is half of the difference of measure of intercepted arcs,

$\implies m\angle YUV = \frac{\widehat{VY}-\widehat{XV}}{2}$

$=\frac{160^{\circ}-80^{\circ}}{2}$

$=\frac{80^{\circ}}{2}$

$=40^{\circ}$

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