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photoshop1234 [79]
2 years ago
5

Determine whether the system of equations has one solution, no solution, or infinitely many solutions. 4x=10+4y and 2x-2y=15

Mathematics
1 answer:
galben [10]2 years ago
6 0

Answer:

infinitely many solutions

Step-by-step explanation:

Given the simultaneous equation

4x=10+4y... 1

2x-2y=15 .... 2

_____________

4x-4y = 10 * 1

2x-2y = 15 * 2

__________--

4x-4y = 10

4x-4y = 30

Add both equation

8x - 8y = 10+30

8x-8y = 40

Divide though by 8

x-y = 5

x = 5 +  y

Since the result gave 1 equation and 2 unknowns, then we will let x =k

k = 5 + y

y = k -5

k can be any integer

(x,y) = (k, k-5)

This show that the equation has infinitely many solutions

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In the figure above line m is parallel to line n.
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<u>Given</u>:

Line m is parallel to line n.

The measure of ∠1 is (4x + 15)°

The measure of ∠2 is (9x + 35)°

We need to determine the measure of ∠1

<u>Value of x:</u>

From the figure, it is obvious that ∠1 and ∠2 are linear pairs.

Thus, we have;

\angle 1+\angle 2=180^{\circ}

Substituting the measures of ∠1 and ∠2, we get;

4x+15+9x+35=180

             13x+50=180

                     13x=130

                        x=10

Thus, the value of x is 10.

<u>Measure of ∠1:</u>

The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1

Thus, we have;

\angle 1 =4(10)+15

    =40+15

\angle 1=55^{\circ}

Thus, the measure of ∠1 is 55°

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3 years ago
Given the following image, find the angle of rotation and the number of times each figure can rotate.​
Dmitriy789 [7]

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7 0
2 years ago
Which of the following describes the function −x3 + 5?
algol13

Answer:

The correct choice is C

Step-by-step explanation:

The given function is:

-x^3+5

The degree of this function is odd so the function will rise at one end and fall on the other end.

Since the coefficient of the leading term is negative, the graph of the function will rise at the left and fall on the right.

The correct answer is option C.

4 0
3 years ago
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Answer:

185.68 cm3

Step-by-step explanation:

SA = 2 (L x W) + 2 (L x H) + 2 (W x H)

     = 2 (8.2 x 3.4) + 2 (8.2 x 5.6) + 2 (3.4 x 5.6)

     = 2 (27.88)      + 2 (45.92)      + 2 (19.04)

     =     55.76       +     91.84         +     38.08

     SA = 185.68 cm3

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