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lozanna [386]
3 years ago
15

Plot a point at the y-intercept pf the following function on the graph provided. 3y= -5^x+7

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0

Answer:

y-intercept: (0, 2)

Step-by-step explanation:

By graphing the equation into a graphing calc, you can trace the graph to where the y-int is located and you have your answer of (0, 2)

<em>Alternatively, </em>you could set x equal to zero and solve algebraically to find the y-int. However, if you are under a time crunch, graphing will be the faster way to go.

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Help please triangles and trig
Oksanka [162]

Answer:

\sin L = \frac{3}{5}

\tan N = \frac{4}{3}

\cos L = \frac{4}{5}

\sin N = \frac{4}{5}

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

LN^2 = LM^2 + MN^2

10^2 = LM^2 + 6^2

100 = LM^2 + 36

Collect like terms

LM^2 = 100 - 36

LM^2 = 64

Take positive square root

LM=8

Solving (a): Sin L

\sin L = \frac{Opposite}{Hypotenuse}

\sin L = \frac{MN}{LN}

\sin L = \frac{6}{10}

Simplify

\sin L = \frac{3}{5}

Solving (b): tan N

\tan N = \frac{Opposite}{Adjacent}

\tan N = \frac{LM}{MN}

\tan N = \frac{8}{6}

Simplify

\tan N = \frac{4}{3}

Solving (c): cos L

This calculated as:

\cos L = \frac{Adjacent}{Hypotenuse}

\cos L = \frac{LM}{LN}

\cos L = \frac{8}{10}

Simplify

\cos L = \frac{4}{5}

Solving (d): sin N

This is calculated using:

If a + b = 90

Then: \sin a = \cos b

So:

\sin N = \cos L

\sin N = \frac{4}{5}

8 0
3 years ago
So, the area <br> Find the area of the figure of
ch4aika [34]

Answer:

The area of the figure is 117m²

Step-by-step explanation:

In this problem, you have two shapes. One shape is a rectangle. The other shape is a triangle.

Area of a rectangle = b*h = 9*7 = 63

Area of a triangle = \frac{1}{2}(b*h) =

Since there are two triangles, you will multiply the area of the one triangle in the figure by 2.

27*2 = 54

Now, you add up the areas!

54 + 63 = 117

So, the area of the figure is 117m²

7 0
4 years ago
Read 2 more answers
~ ! ANGLE MEASURE ! ~
Troyanec [42]

Answer:

1 and5

Step-by-step explanation:

.......?...........

6 0
3 years ago
A catering company prepared and served 300 meals at an anniversary celebration last week using eight workers. The week before, s
swat32

Answer:

II case.

Step-by-step explanation:

Given that a catering company prepared and served 300 meals at an anniversary celebration last week using eight workers.

The week before, six workers prepared and served 240 meals at a wedding reception.

Productivity is normally measured by number of outputs/number of inputs

Here we can measure productivity as

no of meals served/no of workers

In the I case productivity =\frac{300}{8} \\=37.5

In the II case productivity = \frac{240}{6} \\=40

Obviously II case productivity is more as per worker 40 meals were served which is more than 37.5 meals per worker in the I case.

3 0
3 years ago
Please help :) I have no clue &amp; math isn’t my strong subject.
melisa1 [442]

Equation of a line that is perpendicular to given line is y=\frac{-7}{4} x+\frac{7}{4}.

Equation of a line that is parallel to given line is y=\frac{4}{7} x-\frac{69}{7}.

Solution:

Given line y=\frac{4}{7} x+4.

Slope of this line, m_1 = \frac{4}{7}

$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }

                                   $m_2=\frac{-1}{m_1}

                                          $=\frac{-1}{\frac{4}{7} }

Slope of perpendicular line, m_2=\frac{-7}{4}

Passes through the point (–7, 5). Here x_1=-7, y_1=5.

Point-slope formula:

y-y_1=m(x-x_1)

$y-(-7)=\frac{-7}{4} (x-5)

$y+7=\frac{-7}{4} x+\frac{35}{4}

Subtract 7 from both sides, we get

$y=\frac{-7}{4} x+\frac{7}{4}

Equation of a line that is perpendicular to given line is y=\frac{-7}{4} x+\frac{7}{4}.

To find the parallel line:

Slopes of parallel lines are equal.

m_1=m_3

$m_3=\frac{4}{7}

Passes through the point (–7, 5). Here x_1=-7, y_1=5.

Point-slope formula:

$y-(-7)=\frac{4}{7} (x-5)

$y+7=\frac{4}{7} x-\frac{20}{7}

Subtract 7 from both sides,

$y=\frac{4}{7} x-\frac{69}{7}

Equation of a line that is parallel to given line is y=\frac{4}{7} x-\frac{69}{7}.

7 0
3 years ago
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