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jeka94
3 years ago
13

HELP ME PLEASE AB is parallel to CD. If the slope of AB is -3, what is the slope of CD ?

Mathematics
1 answer:
Aleks [24]3 years ago
6 0
The slope of CD is -3. Bc if it was 3 as in the answer above, then the so called "parallel" lines would intersect.
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Please help on this one?
ki77a [65]

m = \frac{1}{2},   (x₁ , y₁) = (-2, -4)

y - y₁ = m(x - x₁)

y -(-4) = \frac{1}{2}(x - (-2))

y + 4 = \frac{1}{2}(x +2)

y + 4 = \frac{1}{2}x + 1

     y = \frac{1}{2}x - 3

Answer: A

5 0
3 years ago
The vertices of a triangle are A(4, 1), B(9, 1), C(2, 5). What is the area of this triangle.
kiruha [24]

Hey there!

\large\boxed{10u^2}

Formula for the area of a triangle is (1/2)bh.

Base of this triangle is 5, height is 4.

Image attached.

Plug values into the formula:

A = (1/2)(5)(4)

Simplify.

A = (1/2)(20)

A = 10

Area of the triangle is 10 units².

Hope this helps!

6 0
3 years ago
Read 2 more answers
4. What is the rule of the nth term of the geometric sequence with <img src="https://tex.z-dn.net/?f=a_%7B4%7D" id="TexFormula1"
hram777 [196]

Answer:

\text{d.}\quad a_n=-2.25(2)^{n-1}

Step-by-step explanation:

The common ratio is given as 2, so the base of any exponential must be 2 (not -2 or 2.25). The 4th term is negative, so the initial value must be negative (since the multiplying factor is positive). The only selection matching these requirements is d.

You know the general term is ...

... an = a1·r^(n-1)

so the 4th term is

... -18 = a1·2^(4-1) = 8·a1

Then the first term is ...

... a1 = -18/8 = -2.25 . . . . . confirms our choice of answer d.

7 0
3 years ago
To simplify (5 + 2)^2 + 7 ÷ 7
Sedbober [7]
Parentheses (brackets/braces) are done first according to the order of operations.
Answer A
7 0
3 years ago
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If trapezoid JKLM is translated according to the rule (x,y)—&gt; (x+2, y - 6), what are the coordinates of point L
guapka [62]

Answer:

<em> ( x, y) is translation '2' units right and '6' units down </em>

<em> (x ,y))—> (x +2 ,y-6)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Type of transformation                            change to co-ordinate point

vertical translation up 'd' units                (x,y)  changes to  (x  , y+d)

<em>vertical translation down 'd' units          (x,y)  changes to  (x  , y-d)</em>

Horizontal translation left 'c' units          (x,y)  changes to  (x-c  , y)

Horizontal translation right 'c' units            (x,y)  changes to  (x+c  , y)

Now by use above table

given data  ( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

<u><em>Final answer:-</em></u>

<em> ( x, y) is translation '2' units right and '6' units down </em>

<em> (x ,y))—> (x +2 ,y-6)</em>

3 0
3 years ago
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