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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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Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D.
Julli [10]

Answer:

AB = 6

Step-by-step explanation:

Given

BC = 3.8

A'B' = 15

B'C' = 9.5

Required

Determine the length of AB

Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:

A'B' : AB = B'C' : BC

Substitute values for A'B', B'C' and BC

15 : AB = 9.5 : 3.8

Express the ratio as fractions:

\frac{AB}{15} = \frac{3.8}{9.5}

Multiply through by 14

15 * \frac{AB}{15} = \frac{3.8}{9.5} * 15

AB = \frac{3.8}{9.5} * 15

AB = \frac{3.8* 15}{9.5}

AB = \frac{57}{9.5}

AB = 6

8 0
3 years ago
Read 2 more answers
W + what - s = w <br> help plz help helppp i want help
grandymaker [24]

Answer: S

Step-by-step explanation:

w + ? - s = w

w + s - s = w

w = w

7 0
3 years ago
Robert earned scores of 81, 93, 76, and 78 on four English tests. Determine his score on the
tekilochka [14]

Answer:

97

Step-by-step explanation:

81 + 93 + 76 + 78 + 97 = 425

425/5 = 85

3 0
3 years ago
Set y= 22x+4 and y= 14x+28 equal and solve algebraically
Doss [256]

Answer:

x = 3; y = 70.

Step-by-step explanation:

When you set the two equations equal to each other you get:

22x + 4 = 14x + 28

This is a multi-step equation since the variable is on both sides of the equal sign.  In order to solve any equation, you must use inverse (opposite) operations to isolate the variable and whatever you do to one side of the equal sign, you must do to the other.  The first step for this equation is to get the variable on one side and the constants on the other.  Subtracting 14x from both sides:  22x - 14x + 4= 14x - 14x +28 gives us 8x +4 = 28.  Next, subtract the 4 from both sides to get:  8x +4 - 4 = 28 - 4 or 8x = 24.  Lastly, divide both sides by 8 to get x = 3.  To solve for y, simply plug 3 in for 'x' in either of the initial equations:  y = (22)(3) + 4 = 70.

3 0
3 years ago
In the triangle below, Four-fifths represents which ratio?
vovangra [49]

Answer:

(A) sin C =\frac{4}{5}

Step-by-step explanation:

Opposite,AB = 4,

Hypotenuse,BC = 5

Adjacent, AC = 3.

sin \theta =\frac{opposite}{Hypotenuse}\\ sin C =\frac{4}{5}

8 0
4 years ago
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