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AleksAgata [21]
3 years ago
6

What is m = 2/3; (6, 1) in slope intercept form? :)

Mathematics
2 answers:
melomori [17]3 years ago
6 0

Answer:y=6x-16y=6x-16

Step-by-step explanation:

lara31 [8.8K]3 years ago
5 0
Y = 2/3x - 3

Slope-intercept form looks like this: y = mx + b. m is your slope (in this case 2/3), and b is your y intercept.

Here, you already know the slope so you can plug it into the equation

y = 2/3x + b

To find b, plug in your point ((6,1)) in for x and y and then solve for b

1 = 2/3(6) + b
1 = 4 + b | multiply 6 x 2/3
-3 = b | subtract 4 from both sides

Now, plug b into your equation and you’re all set!

y = 2/3x - 3

I hope this helped :)

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6 0
3 years ago
Adding/Subtracting rational expressions
Leona [35]
7]
 6/(x-1)-5x/4
subtracting the above we put the fraction under the same denominator:
 6/(x-1)-5x/4
multiplying the denominators we get:
4(x-1)
thus subtracting we get:
6/(x-1)-5x/4
=(4*6-5x(x-1))/[4(x-1)]
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3/(x+7)+4/(x-8)
the common denominator is:
(x+7)*(x-8)=(x+7)(x-8)
thus adding the fractions we put them under the same denominator as follows:
[3(x-8)+4(x+7)]/[(x+7)(x-8)]
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5 0
3 years ago
Victoria combined 2 3/4 cups of granola and 1 1/4 cups of raisins to make trail mix. How much trail mix did she make?
Alenkinab [10]
2 and 3/4 + 1 and 1/4 = 3 and 4/4 = 4
5 0
3 years ago
Read 2 more answers
HELP PLEASE!!! 10 PTS!!
allsm [11]

Answer:

m∠DEC = 78°

Step-by-step explanation:

Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.

If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.

AC = AD                 (Given)

\angle ADC\cong \angle ACD

m\angle ADC=m\angle ACD

According to the angle sum property, the sum of interior angles of a triangle is 180°.

m\angle ADC+m\angle ACD+m\angle DAC=180

m\angle ACD+m\angle ACD+44=180

2m\angle ACD=180-44

2m\angle ACD=136

Divide both sides by 2.

m\angle ACD=68

CE bisects ∠ACD.

m\angle ACE=m\angle DCE=\dfrac{\angle ACD}{2}

m\angle ACE=m\angle DCE=\dfrac{68}{2}

m\angle ACE=m\angle DCE=34

Use angle sum property in triangle CDE,

m\angle CDE+m\angle DCE+m\angle DEC=180

68+34+m\angle DEC=180

68+34+m\angle DEC=180

102+m\angle DEC=180

Subtract 102 from both sides.

m\angle DEC=180-102

m\angle DEC=78

Therefore, the measure of angle DEC is 78°.

6 0
3 years ago
If f(x)=2x^2+(1000/x), find the average rate of change of f(x) from x=a to x=a+h.
galina1969 [7]

Answer:

\frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} is your average rate of change,

Step-by-step explanation:

average rate of change is

\frac{f(a+h)-f(a)}{a+h-a}, by slope formula

simplify this to get \frac{f(a+h)-f(a)}{h}, which is the definition of the derivative as h goes to 0

\lim_{h \to 0} \frac{f(a+h)-f(a)}{h}

since you defined x=a, we can substitute a for x and vice versa to find our derivative.

\lim_{h \to 0} \frac{(2x^2+\frac{1000}{x+h})-(2x^2+\frac{1000}{x})}{h}

simplifying

\lim_{h \to 0} \frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} (your average rate of change)

6 0
3 years ago
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