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3 years ago

A line passes through the point (10,2) and has a slope of 1/2. Write an equation in slope-intercept form for this line.

Mathematics

2 answers:

Akimi4 [234]3 years ago

5 0

Answer:

Step-by-step explanation:

You can read the slope right away.

y = 0.5x + b 1/2 = 0.5

The point will determine the y intercept

2 = 0.5*10 + b

2 = 5 + b

2-5 = b

b = - 3

The line is y = 0.5x - 3

Natali5045456 [20]3 years ago

4 0

Answer:

Step-by-step explanation:

y - 2 = 1/2(x - 10)

y - 2 = 1/2x - 5

y = 1/2x - 3

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Given: AB || DE , AD bisects BE. Prove: ABC = DEC using the ASA postulate.

Ket [755]

Answer:

As per ASA postulate, the two triangles are congruent.

Step-by-step explanation:

We are given two triangles:

$\triangle ABC$ and $\triangle DEC$ .

AD bisects BE.

AB || DE.

Let us have a look at two properties.

1. When two lines are parallel and a line intersects both of them, then alternate angles are equal.

i.e. AB || ED and $\angle B$ and $\angle E$ are alternate angles $\Rightarrow$ $\angle B = \angle E$ .

2. When two lines are cutting each other, angles formed at the crossing of two, are known as Vertically opposite angles and they are are equal.

$\Rightarrow \angle ACB = \angle DCE$

Also, it is given that AD bisects BE.

i.e. EC = CB

1. $\angle B = \angle E$

2. EC = CB

3. $\angle ACB = \angle DCE$

So, we can in see that in $\triangle ABC$ and $\triangle DEC$ , two angles are equal and side between them is also equal to each other.

Hence, proved that $\triangle ABC$ $\cong$ $\triangle DEC$ .

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John left school with 8.43 he found a quarter on his way home and then stopped to buy an Apple for 0.89 . how much money did he

larisa [96]

Answer:

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Step-by-step explanation:

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3 years ago

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The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.

Alex_Xolod [135]

Alright...so the coordinates of an ordered pair have opposite signs [one sign is positive while the other is negative] so we could have an example of (-x,+y) or (+x,-y) ...that means out of the 4 quadrants these points could be in the 2nd quadrant or the 4th quadrant or corners of the graph