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babunello [35]
3 years ago
12

Is the following statement true or false

Mathematics
2 answers:
Vlad1618 [11]3 years ago
8 0

Answer:

Step-by-step explanation:

The answer is true because AB intersects with AC at point A

quester [9]3 years ago
5 0

The answer is True because they both cross over a line

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Graph the system of equations on graph paper.
MrRa [10]
Ths system of equations is

<span>8x+6y=48 ..............>y = 48/6 -8x/6
2x−3y=−6 ..............>y = 6/3 + 2x/3

If we use a graphic tool, we can easily check the solution, 
which is (x,y) = (3,4)

The ordered pair lies in Quadrant I
</span>

3 0
3 years ago
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What is the mean absolute deviation of the data set
Ludmilka [50]

Answer:

Mean absolute deviation. The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset

Step-by-step explanation:

Hope this helps

7 0
3 years ago
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Write an equation of the line through the point (5, 3) that is perpendicular to the line –3x+7y=5.
Fed [463]

Answer:

7x + 3y = 44

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Rearrange - 3x + 7y = 5 into this form by adding 3x to both sides

7y = 3x + 5 ( divide all terms by 7 )

y = \frac{3}{7} x + \frac{5}{7} ← in slope- intercept form

with slope m = \frac{3}{7}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{3}{7} } = - \frac{7}{3} , thus

y = - \frac{7}{3} x + c ← is the partial equation

To find c substitute (5, 3) into the partial equation

3 = - \frac{35}{3} + c ⇒ c = 3 + \frac{35}{3} = \frac{44}{3}

y = - \frac{7}{3} x + \frac{44}{3} ← in slope- intercept form

Multiply through by 3

3y = - 7x + 44 ( add 7x to both sides )

7x + 3y = 44 ← in standard form

6 0
3 years ago
Read 2 more answers
A lemonade mix calls for 2 tablespoons of mix for every 3 cups of water. If the container
nikklg [1K]

Answer:

36 cups of water

Step-by-step explanation:

Make a proportion, where x is the number of cups of water needed:

\frac{2}{3} = \frac{24}{x}

Cross multiply and solve for x:

2x = 72

x = 36

So, 36 cups of water will be needed

4 0
3 years ago
Read 2 more answers
Cos^3a-sin^3a/cosa-sina
KIM [24]

Answer:

1 + cosa sina

Step-by-step explanation:

\frac{cos^3a-sin^3a}{cosa-sina}

cos³a - sin³a ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

cos³a - sin³a

= (cosa - sina )(cos²a + cosa sina + sin²a)

= (cosa - sina)(1 + cosa sina) [ sin²a + cos²a = 1 ]

Then

\frac{cos^3a-sin^3a}{cosa-sina}

= \frac{(cosa-sina)(1+cosasina)}{cosa-sina} ← cancel (cosa - sina) on numerator/ denominator

= 1 + cosa sina

8 0
2 years ago
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