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3 years ago

A line passes through (5,3) with a slope of 3/5. Plot 3 points on this line

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

y=3/5*x, A(0,0), B(1,3/5), C(2,6/5)

Step-by-step explanation:

A(5,3)=(x1,y1)....x1=5, y1=3

m=3/5

y-y1=m(x-x1)

y-3=3/5(x-5)

y-3=3/5*x-3/5*5

y-3=3/5*x - 3

y=3/5*x-3+3

y=3/5*x

x=0, y=3/5*x, y=3/5*0=0 A(0,0)

x=1, y=3/5*1=3/5 B(1,3/5)

x=2, y=3/5*2=6/5 C(2,6/5)

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A seed Company planted a floral mosaic of a national flag. The perimeter of the flags 540 feet. Determine the flags length and w

stiv31 [10]

Answer:

Length of the flag is 190 feet and width of the flag is 80 feet.

Step-by-step explanation:

Given:

Perimeter of the flag = 540 feet

We need to find the length and width of the flag.

Let the length of flag be 'l'.

Let the width of the flag be 'w'.

Now given:

length is 110 feet greater than the width

Length of the flag $l = 110+w$

Now we know that,

Flag is in rectangular shape.

So Perimeter of rectangle is given by 2 times sum of length and width.

framing in equation form we get;

$2(l+w) =540$

Now dividing both side by 2 we get;

$\frac{2}{2}(l+w)=\frac{540}{2}\\\\l+w =270$

Now Substituting the value of 'l' in above equation we get;

$110+w+w=270\\\\110+2w=270$

Subtracting both side by 110 we get;

$110+2w-110=270-110\\\\2w= 160$

Dividing both side by 2 we get;

$\frac{2w}{2}=\frac{160}{2}\\\\w=80\ ft$

Width = 80 feet

Length $l =110+w =110+80 =190 \ ft$

Hence Length of the flag is 190 feet and width of the flag is 80 feet.

8 0

4 years ago

If triangle ABC=triangle DEC, and angle b=3x and angle e=6x-39, what is x

allsm [11]

If angle b and angle e are the same, I guess you can write b=e ?
So you’ll have :
3x = 6x - 39
0 = 6x - 3x - 39
39 = 3x
x = 39/3
x = 13

8 0

3 years ago

Which statement is true

maks197457 [2]

Answer:

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Step-by-step explanation:

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3 years ago

What is the value of the expression 10 + (fraction 1 over 2)4 ⋅ 48?

EleoNora [17]

Equation arrangement: 10 + [1/2]^4. 48
[1/2]^4 = 1/2 * 1/2 * 1/2 * 1/2 = 1/16
10 + [1/16] * 48
According to the law of BODMAS, we have to carry out multiplication operations before we carry out addition operations, therefore, we now have.
[1/16] * 48 = 3
Then, 10 +3 =13.
Thus, the final answer is 13.

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4 years ago

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Vladimir79 [104]

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