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Artist 52 [7]
3 years ago
13

How many intersections are there of the graphs of the equations below? 1/2 x + 5y = 6 3x + 30y = 36 none one two infinitely many

Mathematics
2 answers:
ryzh [129]3 years ago
8 0
Once you graph the equation, you will notice that the lines are actually the exact same. If they’re the exact same your answer must be...
C. Infinitely Many
lilavasa [31]3 years ago
5 0

Answer:

Infinitely Many

Step-by-step explanation:

We are given system of equation.

\frac{1}{2}x+5y=6

3x+30y=36

We need to find intersection point of system of equation.

If we multiply first equation by 6

6\times \frac{1}{2}x+6\times 5y=6\times 6

3x+30y=36

Equation 1st is equivalent to 2nd equation.

If system of equation has same coefficient then number of solution is infinite.

Now we draw the graph of both function. Please see the attachment.

Hence, Infinitely many intersections of two equation.

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A tree is 117 inches tall. How tall is it in feet and inches?<br> ?
xz_007 [3.2K]

Answer:

9 ft and 9 inches

Step-by-step explanation:

there are 12 inches in a foot

1ft = 12in

2ft = 24 in

3ft = 36 in

4ft = 48

and so on

9 ft = 108 inches which is the closes to 117.

So we have 9 ft

subtract 117 from 108, which is 9 inches left over

6 0
2 years ago
What is the value of the square root of 36
irakobra [83]
6

Like how 6^{2} = 36

Square root does the opposite.

Edit: my mistake, it is 6
3 0
3 years ago
Read 2 more answers
Find the values of X and Y.
Natasha_Volkova [10]

Answer:

x = 90°

y = 43°

Step-by-step explanation:

We know that one angle equals 47°.

The two triangles are right triangles, so that makes x = 90°.

To find y, we add 90 + 47.

That would give us 137°.

All triangles add up to 180°.

180 - 137 = 43.

43° is the answer.

3 0
3 years ago
Read 2 more answers
F(x)=-x^2+6x+14 vertex
sasho [114]

Answer:

Vertex: (3, 23)

Step-by-step explanation:

a = -1   b = 6   c = 14

x vertex = \frac{-b}{2a}

\frac{-6}{-2}=3

f(x)-x^{2} +6x+14\\f(3) = -(3)^{2}+6(3) + 14 \\f(3)=-9+18+14\\f(3)=23

4 0
3 years ago
Read 2 more answers
Locate the point in the complex plane and express the number in polar form.
EleoNora [17]

Answer:

We kindly invite you to see the result in the image attached below.

The number in polar form is z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}.

Step-by-step explanation:

A complex number is represented by elements of the form a + i\,b, for all a, b \in \mathbb{R}. The first part of the sum is the real component of the complex number, whereas the second part of the sum is the imaginary component of the complex number. The real component is located on the horizontal axis and the imaginary component on the vertical axis.

Now we proceed to present the point on the graph: (a = 6, b = 3)  We kindly invite you to see the result in the image attached below.

The polar form of the complex number is defined by:

z = r\cdot e^{i\cdot \theta} (1)

Where:

r - Magnitude of the complex number, dimensionless.

\theta - Direction of the complex number, measured in radians.

The magnitude and the direction of the complex number are defined by the following formulas:

Magnitude

r =\sqrt{a^{2}+b^{2}} (2)

Direction

\theta = \tan^{-1} \frac{b}{a} (3)

If we know that a = 6 and b = 3, then the polar form of the number is:

r =\sqrt{6^{2}+3^{2}}

r = 3\sqrt{5}

\theta = \tan^{-1} \frac{6}{3}

\theta \approx 0.352\pi \, rad

z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}

The number in polar form is z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}.

4 0
3 years ago
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