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forsale [732]
2 years ago
10

What is the equation of the line that passes through the point (4,7) and has a slope of -1/4

Mathematics
1 answer:
hoa [83]2 years ago
4 0

Answer:

using the formula of slope tangent form

y2-y1=m(x-x1)

where m=slope,(x1, y1) is point

given

m=-1/4

(x1, y1)=(4,7)

equation of line is

y-7=-1/4(x-4)

y=-x/4+8

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The height, x, of the tree is 70 meters.
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Solve using substitution method x-y=11;3x+10y=-6<br> explain please
Tatiana [17]
Ok so for starters you want to choose an equation and solve for a variable.
So, I am going to choose x from the first equation.
Add y to both sides and you get x=11+y
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2(11+y) +10y=-6
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y=-7/3
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2 years ago
10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0
3 years ago
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