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Soloha48 [4]
3 years ago
9

Simplify the equation 4x+3y=45

Mathematics
2 answers:
mixer [17]3 years ago
8 0

Answer:

10.5=x

Step-by-step explanation:

subtract 3y from both sides the divide by 4x which gives you the answer 10.5=x

olasank [31]3 years ago
3 0

Answer: y = -4/3x + 15

3y = 45 - 4x (subtract 4x from both sides)

y = -4/3x + 15 (divide both sides by 3)

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OABC is a tetrahedron and OA=a, OB=b, and OC=c. The point P and Q are such that OA =AP and 2OB = BQ. The point M is a midpoint o
kondaur [170]

Given

.OABC is a tetrahedron

OA=a, OB=b, and OC=c.

point P and Q are such that OA =AP and 2OB = BQ

point M is a midpoint of PQ.

Find AB ,PQ, CQ ,QM ,MB ,OM in terms of a, b, and c.

To proof

we proof this by using the Triangle law of vector addition

when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of the third side of that triangle represents in magnitude and direction the resultant of the vectors.

by using the diagram as shown below

 \vec{OA}=\vec{a}, \vec{OB}=\vec{b}\\\vec{OP}=2\vec{a},\vec{OQ}=3\vec{b}

\vec{OA}+\vec{AB}=\vec{OB}\\\vec{AB}=\vec{b}-\vec{a}

\vec{OP}+\vec{PQ}=\vec{OQ}\\\vec{PQ}=3\vec{b}-2\vec{a}

\vec{OC}+\vec{CQ}=\vec{OQ}\\\vec{CQ}=3\vec{b}-2\vec{c}\\\vec{QM}=-\frac{1}{2}\vec{PQ}\\

\vec{QM}=\vec{a}-\frac{3}{2}\vec{b}\\\vec{OM}=\vec{OQ}+\vec{QM}

\vec{OM}=\vec{a}+\frac{3}{2}\vec{b}\\\vec{MB}=-\vec{a}-\frac{1}{2}\vec{b}

hence proved




     



6 0
3 years ago
Help me if you understand thanks sm
kumpel [21]
First, find the slope of the line using the formula for slope:

m = (y2 - y1) / (x2 - x1)

m = (4 - (-2)) / (-3 - 2) = -6/5

Then, use the point-slope formula using a point that you were given and the slope that you calculated.

y - y1 = m(x - x1)

y - 4 = (-6/5)(x + 3)

Then, simply get y alone.

y = (-6/5)x + 2/5
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The answer is 813.7 your welcome
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Answer:

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Step-by-step explanation:

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