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3 years ago

How many solutions does the following have?Y = x - 1& y - x = -9

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Answer:

No solution

Step-by-step explanation:

y=x-1 and y-x=-9

1st make sure both equations are in slope intercept form

since the 2nd equation isn't, you change it by adding x to both sides and rewrite it as y=mx+b so

y-x=-9

+× +×

y=×-9

now you have y=x-1 and y=x-9

substitute the y with the other equation

x-1=x-9

subtract x from both sides since you can't have the variable on both sides

now you've got -1 = -9

and since that equation isn't true, it has no solution.

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kyle drew a map of his neighbohood he used a scale in which 1 cm equal 2 miles what distance on kyle map should represent the 1.

mr_godi [17]

The answer is .75 because this is a proportion problem so cm over miles is 1 over 2 equals x over 1.5 you cross multiply and get 2x=1.5 and divide both sides by 2 and you get x=.75

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3 years ago

In ΔEFG, the measure of ∠G=90°, FG = 1.5 feet, and EF = 7.5 feet. Find the measure of ∠F to the nearest degree.

fomenos

Answer:

78°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between angles and sides of a right triangle. In particular, ...

Cos = Adjacent/Hypotenuse

cos(F) = FG/FE = 1.5/7.5 = 0.2

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8 0

3 years ago

Read 2 more answers

Find measure of angle a.

Vladimir79 [104]

Answer:

150

Step-by-step explanation:

First a diagram which looks like a 12 sided figure where all the sides are equal.

Now draw 2 consecutive radii.

There are 12 such triangles in a 12 sided polygon.

These triangles have an apex angle of 360 / 12 = 30 degrees.

The other two angles making up the triangle are both equal. Therefore x + x + 30 = 180

2x = 150

x = 75

But 75 is 1/2 of the interior angle. There are 2 such angles making up the interior angle 75 + 75 = 150

3 0

3 years ago

Please help please this is important

anastassius [24]

Answer:

105 + 45

Step-by-step explanation:

you add those and you get the anwser

5 0

3 years ago

Round off each of the following to the number of significant figures as given

Margarita [4]

Answer:

(a) 3750 to 3 s.f

(b) 0.004710 to 4 s.f

(d) 0.10000 to 2 s.f

0.10000 to 3 s.f

Step-by-step explanation:

Things to note when rounding off a number to a number of significant figures:

For a given number,

i. the most significant digit is the leftmost digit as long as it is not zero. For example, in 789, the most significant digit is 7.

ii. when rounding off to m significant figures, the least significant digit is the mth digit from the most significant digit. This can be zero. For example, to round off 789 to 2 significant figures, the least significant digit is 8 (since it's at position 2 starting from 7).

iii. every digit from the least significant digit is a non-significant digit. For example, to round off 789 to 2 significant digit, the digits after 8 (which is the least significant digit) are all non-significant. In this case, 9 is not significant. After rounding off, these non-significant digits are changed to zero.

iv. the first non-significant digit is the digit just after the least significant digit. For example, to round off 789 to 2 significant digit, the digit just after 8 (which is the least significant digit) is 9. Therefore, 9 is the first non-significant digit.

Rounding off rules

i. the least significant digit will be unchanged if the first non-significant digit is less than 5.

ii. the least significant digit will be increased by 1 if the first non-significant digit is greater than or equal to 5.

iii. all non-significant digits are either removed or changed to zero depending on whether the number is a decimal.

(a) 3748 (3 s.f)

The least significant digit here is 4 since it is at position 3 starting from the most significant digit 3

The first non-significant digit is 8 which is greater than 5.

Therefore, the least significant digit 4 is increased by 1 to get 5 and the non-significant digits (8 in this case) are changed to 0.

The result is thus 3750.

(b) 0.004070989 (4 s.f)

The least significant digit here is 0 since it is at position 4 starting from the most significant digit 4

The first non-significant digit is 9 which is greater than 5.

Therefore, the least significant digit 0 is increased by 1 to get 1 and the non-significant digits (8 and 9 in this case) are changed to 0.

The result is thus 0.004071000.

The ending zeros can be removed to give 0.004071

(c) 4971 (2 s.f)

The least significant digit here is 9 since it is at position 2 starting from the most significant digit 4.

The first non-significant digit is 7 which is greater than 5.

Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow. This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (5 in this case which will become 6 due to the addition). The non-significant digits (7 and 1 in this case) are changed to 0.

The result is thus 5000

(d) 0.09999 (2 s.f)

The least significant digit here is 9 since it is at position 2 starting from the most significant digit 9.

The first non-significant digit is 9 which is greater than 5.

Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow.

This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (9 in this case which will become 10 due to the addition).

This addition also causes an overflow thereby causing 1 to be added to the digit before it (0 in this case which will become 1 due to the addition). The non-significant digits (9 and 9 in this case) are changed to 0.

The result is thus 0.10000

The ending zeros can be removed to give 0.1

d (ii) 0.09999 (3 s.f)

The least significant digit here is 9 since it is at position 3 starting from the most significant digit 9.

The first non-significant digit is 9 which is greater than 5.

Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow.

This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (9 in this case which will become 10 due to the addition).

This addition also causes an overflow thereby causing 1 to be added to the digit before it (9 in this case which will become 10 due to the addition).

This addition also causes an overflow thereby causing 1 to be added to the digit before it (0 in this case which will become 1 due to the addition). The non-significant digits (9 in this case) are changed to 0.

The result is thus 0.10000

The ending zeros can be removed to give 0.1

7 0

3 years ago