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2 years ago

Solve each equation by either substitution or addition method.

Mathematics

1 answer:

irina [24]2 years ago

6 0

Answer: (2,2), (4,2)

First, I subtracted 2y from both sides of the second equation. Then, I substituted -2y+6 in for x in the first equation (-2y+6)²+4y²=20. Then, I expanded 4y²-24y+16+4y²=20. Next, I combined like terms, and moved everything to one side 8y²-24y+16=0. Then, I factored out an 8, and then finished factoring 8(y-2)(y-1). This gives me my y-values, y=1,2. Next, I inserted each y-value into the second equation and got x=-2(1)+6 ---> x=4 (The first solution is (4,1). ) and x=-2(2)+6----->x=2 (The second solution is (2,2).

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Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and

Tanzania [10]

The purple line is tangent. Tangent line intersects a circle in only 1 point
The yellow dot is the point of tangency. It is the point where tangent line touches the circle
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2 years ago

Please help me ASAP: Answer with : includes / not includes

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Answer:

Step-by-step explanation:

The interval [4, ∞) all real numbers 4 and greater, whereas the interval (4,∞) not includes the endpoint 4.

3 0

2 years ago

I need your help guys !!!!!!!!

Ber [7]

$\bold{\huge{\blue{\underline{ Solution}}}}$

$\bold{\underline{ We \: have \:given \: that, }}$

Distance between the house and tower is 35 m
The height of the tower is 60 m
The height of the house is 25 m

$\bold{\underline{ Now}}$

Height of the house is 25m

$\bold{\underline{ So, }}$

$\sf{ CE = 25m }$

Therefore,

$\sf{ AB = AD - CE }$

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Now, In Right angled ABC

$\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}$

$\bold{tan Φ =}{\bold{\frac{ 35}{35}}}$

$\bold{ tan Φ = 1 }$

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$\sf{\red{Hence, \: The \:angle \:of \:depression\: is \:45°}}$

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1 year ago

What is the domain and range of the following graph?

puteri [66]

Using it's concepts, the domain and the range of the graph are given as follows:

Domain: all real values except x = -1.

Range: All real values.

<h3>What are the domain and the range of a function?</h3>

The domain of a function is the set that contains all the values of the input. In a graph, it is given by the values of x, which is the horizontal axis of the graph.

The range of a function is the set that contains all the values of the output. In a graph, it is given by the values of y, which is the vertical axis of the graph.

In this graph, have that the function is defined for all values of x except x = -1, and assumes all real values, hence the domain and the range of the graph are given as follows:

Domain: all real values except x = -1.

Range: All real values.

More can be learned about the domain and the range of a function at brainly.com/question/10891721

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Nady [450]

Answer:

Step-by-step explanation:

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2 years ago

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