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oksian1 [2.3K]
2 years ago
14

Someone please help me. ASAP

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
3 0

Answer: x=10

Step-by-step explanation:

1/5(x-2)=1/10(x+6)

1/5x -2/5=1/10x + 6/10

        +2/5             +2/5

1/5x =1/10x + 1

-1/10   -1/10  

1/10x= 1    divide both sides by 1/10

x= 10

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Discount = 35/100 * 40 = $14

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Irina-Kira [14]

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7 0
2 years ago
On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line
NikAS [45]

Answer:

the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

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

m=\dfrac{2-(-4)}{4-(-2)} = 1

Now, using slope intercept form (y = mx+c) of a line, we can write the equation of line parallel to AB:

y =(1)x+c \Rightarrow y = x+c

Now, putting the point P(0,4) to find c:

4 = 0 +c \Rightarrow c = 4

So, the equation is \bold{y=x+4}

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

8 0
2 years ago
Read 2 more answers
Which of the following is a result of shifting a circle with equation (x + 3)² + (y - 2)² = 36 left 3 units?
Furkat [3]
A circle with equation:
( x + 3 )² + ( y - 2 )² = 36
Center of a circle: C ( - 3, 2 )
r = 6 ( the radius of a circle stays the same )
After shifting 3 units left : C 1 ( - 6, 2 ).
Answer:
( x + 6 )² + ( y - 2 )² = 36 
5 0
3 years ago
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What is the value of a?
Elan Coil [88]
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Then 112 + m<C = 180, so that m<C =68 degrees.

Use the Law of Sines to find the value of a, as follows:

sin 50 deg      sin 62 deg
-------------- = ----------------
       a                  31 cm
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Then 31sin 50 = a*sin 62, and a = --------------- = ---------------- = 26.9 cm
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a = 
6 0
3 years ago
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