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umka21 [38]
4 years ago
13

How do I write an equation of a line in slope intercept from

Mathematics
1 answer:
BabaBlast [244]4 years ago
4 0

Answer:

You would use the formula y=mx+b, where m is the slope and b is the y intercept.

Step-by-step explanation:

If the slope was 1/2 and the y intercept was 2, it would be y=1/2x+2

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Two right triangles, ABD and ACD, were created from ABC by
Ainat [17]

Answer:

Since their corresponding angles are congruent and the corresponding sides are in proportion

Step-by-step explanation:

For ABD,

Sin (B) = (AD ÷ AB) =1

∴ AD = AB

and if AD = AB

⇒ AD = AC   (since AD 1 CB).

From triangle ACD,

Sin(C) = (AD ÷ AC)

Since AD = AC , Hence Sin (B) = Sin (C) = 1

Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)

7 0
4 years ago
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The points (7,r) and (8,9) fall on a line with a slope of 5. What is the value of r?
mrs_skeptik [129]

Answer:

r = 4

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 5

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, r ) and (x₂, y₂ ) = (8, 9)

m = \frac{9-r}{8-7} = \frac{9-r}{1} = 9 - r = 5 ( subtract 9 from both sides )

- r = - 4 ( multiply both sides by - 1 )

r = 4

7 0
4 years ago
Please help!!! Which equation represents the proportional relationship?
Zinaida [17]

Answer:

d

Step-by-step explanation:

7 0
4 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
Write 17_100 in decimal from
ella [17]

Answer:

0.17

Step-by-step explanation:

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3 years ago
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