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Tatiana [17]
2 years ago
5

HELPPPP y=1/8x+3 in standard form​

Mathematics
2 answers:
zubka84 [21]2 years ago
8 0
8 because the standard form
lidiya [134]2 years ago
4 0

Answer:

x-8y=-24

Step-by-step explanation:

Standard form of a linear equation:  Ax+By=C

(where A, B and C are integers, and A shouldn't be negative)

Given equation:

y=\dfrac{1}{8}x+3

Multiply both sides by 8:

\implies 8 \cdot y=8 \cdot \dfrac{1}{8}x+8 \cdot 3

\implies 8y=x+24

Subtract 8y from both sides:

\implies 8y-8y=x+24-8y

\implies 0=x+24-8y

Subtract 24 from both sides:

\implies 0-24=x+24-8y-24

\implies -24=x-8y

In standard form:

\implies x-8y=-24

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There is a triangle with a perimeter of 63 cm, one side of which is 21 cm. Also, one of the medians is perpendicular to one of t
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Answer:

21cm; 28cm; 14cm

Step-by-step explanation:

There is no info in the problem/s  text which one of the triangle's  side is 21 cm. That is why we have to try all possible variants.

Let the triangle is ABC . Let the AK is the angle A bisector and BM is median.

Let O is AK and BM cross point.

Have a look to triangle ABM.  AO is the bisector and AOB=AOM=90 degrees (means that AO is as bisector as altitude)

=> triangle ABM is isosceles => AB=AM  (1)

1. Let AC=21   So AM=21/2=10.5 cm

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Such triangle doesn' t exist ( is impossible), because the triangle's inequality doesn't fulfill.  AB+AC>BC ( We have 21+10.5=31.5 => AB+AC=BC)

2. Let AB=21 So AM=21 and AC=42 .So  BC= P-AB-AC=63-21-42=0 cm- such triangle doesn't exist.

3. Finally let BC=21 cm. So AB+AC= 63-21=42 cm

We know (1) that AB=AM so AC=2*AB.  So AB+AC=AB+2*AB=3*AB

=>3*AB=42=> AB=14 cm => AC=2*14=28 cm.

Let check if this triangle exists ( if the triangle's inequality fulfills).

BC+AB>AC    21+14>28 - correct=> the triangle with the sides' length 21cm,14 cm, 28cm exists.

This variant is the only possible solution of the given problem.

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3 years ago
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Which of the following could be the ratio of the length of the longer leg of a 30-60-90 to the length of its hypotenuse? CHECK A
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Answer:

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The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit

The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units

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This is to say if;

The given the shorter leg = 1 unit

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where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;

a^2+b^2=c^2

<u>Hence the summary is</u>

a=shorter leg= 1 unit

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The ratio of longer leg to its hypotenuse is

=√3:2⇒ answer option A

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