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Mkey [24]
3 years ago
14

Please help!!

Mathematics
1 answer:
Lelechka [254]3 years ago
7 0

Answer:

I made it to this and I don't know what to do for the rest sorry.

Step-by-step explanation:

y-5=-2(x-6)

+5      +5

y=3(x-6)

y=3x-18

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Determine whether the three points are collinear.<br> (0, - 10). (-3,- 13), (2,-8)
LUCKY_DIMON [66]

Answer:

<h2>YES. These points are collinear.</h2>

Step-by-step explanation:

If three points are collinear, then the slopes are the same.

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

For (0, -10) and (-3, -13):

m=\dfrac{-13-(-10)}{-3-0}=\dfrac{-13+10}{-3}=\dfrac{-3}{-3}=1

For (-3, -13) and (2, -8):

m=\dfrac{-8-(-13)}{2-(-3)}=\dfrac{-8+13}{2+3}=\dfrac{5}{5}=1

We can check the last pair (0, -10) and (2, -8):

m=\dfrac{-8-(-10)}{2-0}=\dfrac{-8+10}{2}=\dfrac{2}{2}=1

5 0
3 years ago
Expand the following - (-3x + y + z) square​
lbvjy [14]

Answer:

9x square + y squared + z squared

Step-by-step explanation:

Multiply all the numbers by '-'. Then square them all

3 0
2 years ago
3. if kx² + 2x + k = -kx have equal roots, find the values of k.<br>​
crimeas [40]

Answer:

k = - \frac{2}{3} , k = 2

Step-by-step explanation:

Using the discriminant Δ = b² - 4ac

The condition for equal roots is b² - 4ac = 0

Given

kx² + 2x + k = - kx ( add kx to both sides )

kx² + 2x + kx + k = 0 , that is

kx² + (2 + k)x + k = 0 ← in standard form

with a = k, b = 2 + k and c = k , thus

(2 + k)² - 4k² = 0 ← expand and simplify left side

4 + 4k + k² - 4k² = 0

- 3k² + 4k + 4 = 0 ( multiply through by - 1 )

3k² - 4k - 4 = 0 ← in standard form

(3k + 2)(k - 2) = 0 ← in factored form

Equate each factor to zero and solve for k

3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - \frac{2}{3}

k - 2 = 0 ⇒ k = 2

5 0
3 years ago
What is the component form of the vector whose tail is the point (-3,2) and whose head is the point (1, -6)?
Bess [88]

Answer:

  (4, -8)

Step-by-step explanation:

The components of a vector are found by subtracting the tail from the head.

__

  Head - Tail = (1, -6) -(-3, 2) = (1 -(-3), -6 -2) = (4, -8)

⇒ The component form is (4, -8), or maybe 4<em>i</em> -8<em>j</em>.

_____

<em>Additional comment</em>

There are many ways that the components of vectors can be described. The particular format you are expected to use will likely be found in your curriculum materials.

4 0
2 years ago
Find the slope between the points. (4,-2) and (8,5)
aksik [14]
Slope = m

Equation to find slope is:

m = (y2 - y1) / (x2 - x1)

2 points:
(4,-2) 4 = x1 and -2 = y1
(8,5) 8 = x2 and 5 = y2

So...

m = (y2 - y1) / (x2 - x1)

m = (5 - (-2)) / (8 - 4)

m = 7 / 4 or 1.75

Therefore, the slope of the line is 7/4 OR 1.75.

3 0
2 years ago
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