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1 year ago

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.

Mathematics

1 answer:

34kurt1 year ago

5 0

Answer:

Infinitely many solutions

Step-by-step explanation:

First, let's organize the equations of the lines into slope-intercept form.

x + 4y = 1
=> 4y = -x + 1
=> y = -x/4 + 1/4

And,

2x + 8y = 2
=> 8y = -2x + 2
=> y = -2x/8 + 2/8
=> y = -x/4 + 1/4

Since both the graphs are the same, the two equations have infinitely many solutions.

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Jami went to have a manicure that cost $25. She wanted to tip the technician 20% and

OLga [1]

Answer: $35.75

Step-by-step explanation:

1) $25 for the manicure

2) $25*(0.20) = $5 for the tip

3) $5.75 for the tip

$25 + $5 + $5.75 for the total

$35.75 total

5 0

2 years ago

What is the area of this triangle? (Image Attached)

Snezhnost [94]

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}\\\\
-----------------------------\\\\
\textit{so, let's find the missing side}
\\\\\\
c=\sqrt{2.7^2+3.4^2-2(2.7)(3.4)cos(40^o)}
\\\\\\
c=\sqrt{4.78542402433556327368}\implies c\approx 2.187561204706182220$

or we can round it, to say c = 2.19, so hmm that's the missing side
now, we use Heron's Formula, which uses all 3 sides only

$\bf \textit{Heron's Area Formula}\\\\
A=\sqrt{s(s-a)(s-b)(s-c)}\qquad 
\begin{cases}
a=2.7\\
b=3.4\\
c\approx 2.19\\\\
s=\cfrac{a+b+c}{2}
\end{cases}$

and that'd be the area of it

6 0

3 years ago

Read 2 more answers

Jhfxcvbjiuyfvbno<br> Cccvhiihji nr

Rudiy27

Answer:

i agree

Step-by-step explanation:

jdkfhkjdf jajxjcj jdf o

7 0

3 years ago

Write 169=13^2 in logarithmic form

e-lub [12.9K]

Answer:

$\log_{13}(169)=2$

Step-by-step explanation:

The given exponential form is:

$169=13^2$

The base of the given expression on the right is 13 and the exponent is 2.

The number is 169.

In terms of logarithms, the base still remains the base and the exponent becomes the result of the logarithm of the number 169 to the given base 13.

$\log_{13}(169)=2$

4 0

2 years ago

Find the area of the polygon with vertices (1, 2) (1, -5) (5, -5) (5,2)

Svetradugi [14.3K]

Answer:

28 square units

Step-by-step explanation:

These vertices are written in the form of their x and y coordinates. Let

A=(1,2) ; B =(1,-5) ; C =(5, -5) ; D=(5,2)

The x points are 1, 1, 5, 5

The y points are 2,-5, -5, 2

The x extremes range from 1 to 5. The length in-between is 5-1 = 4

The y extremes range from -5 to 2. The length in-between is 2-(-5) = 7

Area of the polygon enclosed by the coordinates

= 4 x 7 = 28 square units

5 0

2 years ago