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3 years ago

8

What kind of graph is this

1 answer:

quester [9]3 years ago

3 0

Bro what that looks like a face

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3 years ago

What is the parallel to 2x-3y=6 and passing through(-3,1) ...?

seraphim [82]

Parallel lines have equal slopes.

$2x-3y=6
\\-3y=-2x+6
\\
\\y= \frac{2}{3} x-2
\\
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\\
\\(-3,1) \Rightarrow x_1=-3,y_1=1
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3 years ago

What are the values of a and b

makvit [3.9K]

Answer:

$\large\boxed{B.\ a=8,\ b=4\sqrt5}$

Step-by-step explanation:

We have three similar triangles:

$\triangle ABC\sim\triangle DBA\sim\triangle DAC$

therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{BD}{AD}$

We have AD = a, CD = 16 and BD = 4. Substitute:

$\dfrac{a}{16}=\dfrac{4}{a}$ <em>cross multiply</em>

$(a)(a)=(16)(4)\\\\a^2=64\to a=\sqrt{64}\\\\a=8$

and other proportion:

$\dfrac{AB}{BC}=\dfrac{BD}{AB}$

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:

$\dfrac{b}{20}=\dfrac{4}{b}$ <em>cross multiply</em>

$(b)(b)=(20)(4)\\\\b^2=80\to b=\sqrt{80}\\\\b=\sqrt{16\cdot5}\\\\b=\sqrt{16}\cdot\sqrt{5}\\\\b=4\sqrt{5}$

3 0

3 years ago