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3 years ago

What is the slope of the line through the points, (-4,2) & (5,-1)

Mathematics

1 answer:

Korolek [52]3 years ago

8 0

Answer:

-1/3

Step-by-step explanation:

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-1-2}{5--4}\\m=\frac{-3}{9}=-\frac{1}{3}$

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F h(x) = 6 – x, what is the value of (h circle h) (10)?

insens350 [35]

Answer:

Step-by-step explanation: when h(x) = 10

h(x)= 6-x

h(10)= 6-10

=-4

6 0

3 years ago

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Find the value of x when the area of a triangle is 22 in2 and has a base of 3x-1 and height of x.

Virty [35]

The formula for the area of a triangle is (1/2)bh = A
when we plug in the numbers, we get (1/2)(3x-1)x = A
using the distributive property we get (1.5x - .5)x = A
Then its 1.5x^2 - .5x = A
then if we factor out 0.5x we get 0.5x(3x-1) = A
then with the zero product property, 0.5x can equal 0 and x would need to equal 0.
if 3x-1 = 0 , then 3x = 1 then x = 1/3. so our answer would be 1/3 I'm pretty sure because a length cannot be 0

5 0

3 years ago

(will give brainliest!)

Flura [38]

Answer:

D) cot(C) = 1/2.

Step-by-step explanation:

We can go through each choice and examine is validity.

Choice A)

We have:

$\displaystyle \sec B=\frac{3}{7}$

Recall that secant is the ratio of the hypotenuse to the adjacent.

With respect to B, the adjacent is 6 and the hypotenuse is 7.

Therefore, sec(B) should be 7/6 instead.

A is incorrect.

Choice B)

We have:

$\displaystyle \cot B=\frac{3}{2}$

Cotangent is the ratio of the adjacent side to the opposite.

With respect to B, the adjacent side is 6 and the opposite side is 3.

Therefore, cot(B) = 6/3 = 2.

B is incorrect.

Choice C)

C is incorrect for the reasons listed in A.

Choice D)

We have:

$\displaystyle \cot C=\frac{1}{2}$

Again, cotangent is the ratio of the adjacent side to the opposite.

With respect to C, the adjacent side is 3 and the opposite side is 6.

So, cot(C) = 3/6 = 1/2.

Therefore, D is the correct choice!

8 0

3 years ago

Solve for w: -4u-w = u+6w

wlad13 [49]

Answer:

Step-by-step explanation:

-4u - w = u + 6w

-4u = u + 7w (Add w to both sides)

-5u = 7w (Subtract u from both sides)

w = $-\frac{5u}{7}$ (Divide both sides by 7)

8 0

3 years ago

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Simultaneous equations 5x+y=28 x+y=2

ludmilkaskok [199]

Answer:

Step-by-step explanation:

$5x + y = 28$

$x + y = 8$

Solve the equation for y by moving 'x' to R.H.S and changing its sign

$5x + y = 28$

$y = 2 - x$

Substitute the given value of y into the equation 5x + y = 28

$5x + 2 - x = 28$

Solve the equation for x

Collect like terms

$4x + 2 = 28$

Move constant to R.H.S and change its sign

$4x = 28 - 2$

Subtract the numbers

$4x = 26$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{26}{4}$

Calculate

$x = \frac{26}{4}$

Reduce the numbers with 2

$x = \frac{13}{2}$

Now, substitute the given value of x into the equation y = 2 - x

$y = 2 - \frac{13}{2}$

Solve the equation for y

$y = - \frac{9}{2}$

The possible solution of the system is the ordered pair ( x , y )

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

$5 \times \frac{13}{2} - \frac{9}{2} = 28$

$\frac{13}{2} - \frac{9}{2} = 2$

Simplify the equalities

$28 = 28$

$2 = 2$

Since , all of the equalities are true, the ordered pair is the solution of the system.

$(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})$

Hope this helps....

Best regards!!

5 0

3 years ago

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