-3/7, -8/3 and -5/2,-2 slope

Answers

Answer 1

Answer: so the points are (-3/7,-8/3) and (-5/2,-2)
to find the slope do
(y2-y1)/(x2-x1)
(x,y)
x1=-3/7
y1=-8/3
x2=-5/2
y2=-2

subsitute
$(-2-( (-8)/(3) ))/( (-5)/(2) - (-3)/(7) )$
simplify by finding similar denomenators
$((-6)/(3)-( (-8)/(3) ))/( (-35)/(14) - (-6)/(14) )$
$((-6)/(3)( (8)/(3) ))/( (-35)/(14) + (6)/(14) )$
add
$((2)/(3))/( (-29)/(14))$
multiply top and bottom by $\frac{-14}{29$
$((-28)/(87))/(1)$
$(-28)/(87)$
answer is
slope= $(-28)/(87)$

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Which operation should be completed first ? 36÷4×3-2

1.5 inches per hour as a fraction

Answers

Answer:

3/2 inches per hour

Step-by-step explanation:

Find 3 consecutive numbers where the product of the smaller two numbers in 19 less than the square of the largest number?

Answers

Answer is 5, 6, & 7

x = smallest number
y = x + 1
z = x + 2

(x)(y) = z^2 - 19
(x)(x+1) = (x + 2)^2 - 19
(x^2 + x) = (x^2 + 4x + 4) - 19
x^2 + x = x^2 + 4x + 4 - 19

x^2 term drops out from both sides

x = 4x + -15
15 = 4x - x
15 = 3x
15/3 = x
x = 5
y = x + 1 = 6
z = x + 2 = 7

Confirm by substituting back in for the variables:
(x)(y) = z^2 - 19
(5)(6) = (7)^2 - 19
30 = 49 - 19
30 = 30 [OK]

2. The line BC in the figure above is the ___ of the cylinder.A. slant height
B. axis
C. altitude
D. vertex

Answers

Answer:

BC denotes the axis of the cylinder in the given figure.

Step-by-step explanation:

Given an oblique cylinder. It is three dimensional shape having sides not perpendicular to the base. it means it is leaning toward one side left or right as shown in figure below.

We have to determine what BC denotes.

Height is always perpendicular to the base so the given line BC is the axis of the cylinder . When there is a slant to the cylinder axis is also not perpendicular to the base.

Thus, BC denotes the axis of the cylinder in the given figure.

The line BC in the figure above is the AXIS of the cylinder.

Axis of the cylinder is the line formed by the centers of the bases of a cylinder.

(2x -2 1/5 - -4) ÷ -5

Answers

Answer:

(-2x ÷ 5) - (9/5 ÷ 5) = -2/5 * x - 9/25

Step-by-step explanation:

To solve the expression (2x - 2 1/5 - -4) ÷ -5, we need to follow the order of operations, also known as PEMDAS.

1. First, simplify the expression inside the parentheses (-2 1/5 - -4).

To subtract a negative number, we can change it to addition. So, (-2 1/5 - -4) becomes (-2 1/5 + 4).

Next, let's convert the mixed number -2 1/5 to an improper fraction.

-2 1/5 = -11/5

Now we can add the fractions: -11/5 + 4.

To add these fractions, we need a common denominator. The least common denominator for 5 and 1 is 5.

-11/5 + 4/1 = -11/5 + 20/5 = 9/5

Therefore, (-2 1/5 - -4) simplifies to 9/5.

2. Now, let's substitute the simplified expression back into the original expression: (2x + 9/5).

3. Finally, divide the expression by -5: (2x + 9/5) ÷ -5.

To divide by a negative number, we can multiply the expression by -1 and then divide by 5.

(2x + 9/5) ÷ -5 = (-1)(2x + 9/5) ÷ 5

Applying the distributive property, we get:

(-1)(2x + 9/5) ÷ 5 = (-2x - 9/5) ÷ 5

To divide by 5, we can multiply each term by 1/5:

(-2x - 9/5) ÷ 5 = (-2x ÷ 5) - (9/5 ÷ 5)

Simplifying further:

-2x ÷ 5 = -2/5 * x

9/5 ÷ 5 = 9/25

Therefore, the final answer is:

(-2x ÷ 5) - (9/5 ÷ 5) = -2/5 * x - 9/25

Please note that this is the simplified form of the expression, assuming that no specific value for x is given.

the answer is -10x+9/25

Which of the following is equivalent to 6x 2 + x - 12 ?A. (2x + 3)(3x - 4)
B. (2x - 3)(3x - 4)
C. (2x + 3)(3x + 4)
D. (6x + 3)(x - 12)
E. (x + 3)(2x - 12)
Please show me step by step how to solve this problem
Thanks

Answers

$6x^2+x-12=6x^2-9x+8x-12=3x(2x-3)+4(2x-3)\n\n=(2x-3)(3x+4)\n\nother\ method:\n\n6x^2+x-12\na=6;\ b=1;\ c=-12\n\Delta=b^2-4ac\to\Delta=1^2-4\cdot6\cdot(-12)=1+288=289\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(289)=17$

$x_1=(-1-17)/(2\cdot6)=(-18)/(12)=-(3)/(2);\ x_2=(-1+17)/(2\cdot6)=(16)/(12)=(4)/(3)\n\n6x^2+x-12=6(x+(3)/(2))(x-(4)/(3))=2\cdot3(x+(3)/(2))(x-(4)/(3))\n\n=2(x+(3)/(2))\cdot3(x-(4)/(3))=(2x+3)(3x-4)$

Very fast please!

How do you work out:

5x3/4

Answers

As it is only 5, it is 5/1 so you do 5 x 3 = 15 then 1 x 4 = 4. So 15/4

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