4. Which coordinate represents the point of

1 answer:

8 0

Answer:

(1;-4)

Explanation:

The point of intersection is a point where the two graphs are equal, therefore it is a point where:

2x - 6 = -2x - 2

Now solve for x:

4x = 4
x = 1

Now that we have our x value, we can substitute it back into either equation to get our y value:

y = 2x - 6
y = 2(1) - 6
y = -4

Therefore your coordinates are (1;-4)

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A spinner has 5 equal sections numbered 1 to 5. What is the probability of the spinner stopping on a number that is a multiple o

Umnica [9.8K]

Answer:

0.6

Step-by-step explanation:

Given that the spinner has 5 equal sections numbered 1 to 5.

Total Sample Space, n(S)=5

Multiples of 2 in 1 to 5 are: {2,4}

Number less than than 3 are:{1,2}

Since we are required to find the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3, we take the union of both sets.

{2,4} $\cup$ {1,2} ={1,2,4}

Number of Outcomes=3

Therefore,

Probability of the spinner stopping on a number that is a multiple of 2 or is less than 3 $=\dfrac{3}{5}=0.6$

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3 years ago

Instructions: state what additional information is required in order to know that the triangle in the image below are congruent

Stells [14]

SSS (side-side-side) requires that all three sides of the potentially congruent triangles be congruent.

Triangle WVU & Triangle UBW are our two triangles.

The middle line, UW and WU are congruent by the reflexive property, so that is not the information we need to prove SSS.

For SSS, we need to know that sides WV and UB are congruent.

Hope this helps!

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3 years ago

Triangle FGH is similar to triangle A B C

asambeis [7]

Answer:

x is 12

Step-by-step explanation:

» From scalar properties:

${ \tt{ \frac{FG}{FH} = \frac{AB}{AC} }} \\ \\ { \tt{ \frac{9}{6} = \frac{18}{x} }} \\ \\ { \tt{x = \frac{18 \times 6}{9} }} \\ \\ { \boxed{ \tt{ \: x = 12 \: }}}$