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3 years ago

Choose Yes or No to tell if the fraction 58 will make each equation true.

Mathematics

2 answers:

Sholpan [36]3 years ago

6 0

Answer:

1.No

2.No

3.No

4.No

Step-by-step explanation:

815-58=757 not 37

58- 516= 458 not 58

72-12=66 not 58

34-18=16 not 58

loris [4]3 years ago

5 0

No it doesn’t make any of them true

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Find the image of P(–2, –1) after two reflections; first Ry=−5(P), and then Rx=1(P1).

alexdok [17]

Answer: third choice (4 - 9).

Explanation:

1) The first reflection, Ry = - 5, means a reflection is across the line y = - 5

2) Since the point P has y-coordinate - 1, its discance to the line y = - 5 is 4 units (P is located 4 units upper the line y = - 5).

Then, the reflection of the y-coordinate will be 4 units below the line y = - 5, which is -5 - 4 = - 9,

Therefore, the y-coordinate of the image is - 9.

3) The second reflection, Rx = 1, means a reflection across the line x = 1.

4) Since the point P has x-coordinate - 2, its distance to the line x = 1 is 3 units (P is located 3 units to the left of the line x = 1).

Then, the reflection of P will be 3 units to the right of the line x = 1.

That is 1 + 3 = 4.

Therefore, the x-coordinate of the image is 4.

5) You have obtained the x and y - coordinates of the image, x = 4 and y = -9, that is (4, - 9) which is the third choice.

8 0

2 years ago

A line through (2, 15) and (6, 7)

erastovalidia [21]

Answer:

y = -2x + 19

Step-by-step explanation:

Let the equation of the line is y = mx + b

Here, m = slope of the line

b = y - intercept

slope of a line passing through (x₁, y₁) and (x₂, y₂) is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

slope of line passing through (2, 15) and (6, 7) will be

$m=\frac{15-7}{2-6}$

= (-2)

Equation of the line will be,

y = -2x + b

Since line passes through point (2, 15)

15 = -2 (2) + b

b = 15 + 4

b = 19

Therefore, equation will be,

y = -2x + 19

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2 years ago

If a system of two inequalities has a solution, then their two half planes intersect , true or false ?

Nana76 [90]

Answer: The answer is true.

Step-by-step explanation: The given statement is

'If a system of two inequalities has a solution, then their two half planes intersect'.

We are to check whether the statement is true or false.

Let a system of two inequalities be

$x+y\geq 3,\\\\2x+5y\leq 10.$

These inequalities has a solution, for example, x = 2, y = 1.

Plotting these inequalities on a graph paper (please see the attached graph), we see that the two half planes intersect, which is represented by the double shaded region in the graph.

Thus, the given statement is TRUE.