What is the slope of the line 6x-2y=15?

a) -7.5
b) -3
c) 2.5
d) 3

Answers

Answer 1

Answer: What is the slope of the line 6x-2y=15?
Rewrite the equation in the y = mx + b form
-2y = -6x+15
y = 3x + 15

m represents the slope.
So,
m = 3

Answer 2

Answer: the slope is m=3 in this case

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What is 2 3/5 minus 1 1/7
What value of x satisfies the equation 7/3(x+9/28)=20

What value or values of x satisfy 2|x+5.3|=4.2a. x can only equal –3.2.
b. x can only equal 7.4.
c. x can equal –3.2 or –7.4.
d. x can equal –3.2 or 7.4.

Answers

we have

$2\left|x+5.3\right|=4.2$

Step 1

Find the first solution (case positive)

$2(x+5.3)=4.2$

Eliminate the parenthesis left side

$2x+10.6=4.2$

Subtract $10.6$ both sides

$2x=4.2-10.6$

$2x=-6.4$

Divide by $2$ both sides

$x=-3.2$

Step 2

Find the second solution (case negative)

$2[-(x+5.3)]=4.2$

Eliminate the parenthesis left side

$-2x-10.6=4.2$

Adds $10.6$ both sides

$-2x=4.2+10.6$

$-2x=14.8$

Divide by $-2$ both sides

$x=-7.4$

therefore

the answer is the option C

x can equal –3.2 or –7.4

We have, /x+5.3/ = 2.1;
Then, x + 5.3 = 2.1 or x + 5.3 = -2.1;
x = 2.1 - 5.3; x = -3.2;
x = -2.1-5.3; x = -7.4;
The correct answer is c.

What is the circumference of a circle with a diameter of 45 centimeters? A. 282.7 centimeters
B. 70.7 centimeters
C. 6,361.7 centimeters
D. 141.4 centimeters

Answers

Circumference, C = πd
d = diameter.

C = π*45

C = 45π

C ≈ 45*3.142

C≈ 141.39

C ≈ 141.4

Option D.

It is 141.4 centimetres. This is because the circumference is obtained by multiplying pi with the diameter.

Which table of values could be generated by the equation 4y-2x=16?

Answers

The table of values by the equation 4y - 2x = 16 is (d)

How to determine the table of values?

The table of values that complete the question is added as an attachment

The equation is given as:

4y - 2x = 16

Add 2x to both sides

4y = 2x + 16

Divide through by 4

y = 0.5x + 4

Set x = 0, 2 and 4

y = 0.5(0) + 4 = 4

y = 0.5(2) + 4 = 5

y = 0.5(4) + 4 = 6

So, we have:

x y

0 4

2 5

4 6

Hence, the table of values by the equation is (d)

Read more about linear equations at:

brainly.com/question/14323743

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(5+2 i)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.

Answers

(5+2 i)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 -3i)

(4 -3i)( (5 +2i) - (5 -2yi) )

= (4 -3i)(5 +2i - 5 + 2yi)

= (4 -3i)(5 - 5 + 2i + 2yi)

= (4 -3i)(2i + 2yi)

= (4 - 3i)(2 + 2y)i. Let's multiply the first two.

(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)
      = 8 - 6i + 8y - 6yi
      = 8 + 8y - 6i - 6yi

(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i Note: i² = -1
   = 8i + 8yi - 6i² - 6yi²
   = 8i + 8yi - 6(-1) - 6y(-1)
   = 8i + 8yi + 6 + 6y
   = 6 + 6y + 8i + 8yi
   = (6 + 6y) + (8 + 8y)i In the form a + bi

Put brackets in the expression to make this correct

3*2+5*8=88

Answers

Put brackets in the expression to make this correct

(3*2+5)*8=88

Select 222 strategies that we can use to subtract 563-192563−192563, minus, 192. Choose 2 answers: Choose 2 answers: (Choice A) A Add 100+90+2100+90+2100, plus, 90, plus, 2. (Choice B) B Evaluate (563-200)+8(563−200)+8left parenthesis, 563, minus, 200, right parenthesis, plus, 8. (Choice C) C Subtract 571-200571−200571, minus, 200.

Answers

Final answer:

The most effective strategies to subtract 563 from 192 are by rounding the number (Choice B) or by step-by-step addition and subtraction (Choice A), with rounding being the preferred method for ease of calculation.

Explanation:

To subtract 563 from 192, two effective strategies can be used. The first strategy (Choice B) simplifies the problem by rounding 192 to 200, subtracting to get 563 - 200 = 363, and then adding back the difference of 8 (since 200 - 192 = 8), resulting in the final answer of 363 + 8 = 371.

The second strategy (Choice A) is to add the constituent parts of 192, which are 100, 90, and 2, to perform step-by-step addition and subtraction. This method, however, is less efficient than the rounding technique and is prone to errors in a manual calculation process.