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Nostrana [21]
3 years ago
9

What is the equation of the line that goes through (1,-1) and is parallel to y= 3x - 3?

Mathematics
1 answer:
igomit [66]3 years ago
5 0

Answer:

y+1=3(x-1), D.

Step-by-step explanation:

Parallel lines have the same slope: Slope should be 3.

y+1=3(x-1)

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What is the area of this triangle ?
oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}

We need to find the lengths of side DE, EF and FD

Length of side DE = a = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Length of side DE = a = =\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60

Length of side EF = b = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Length of side EF = b = =\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8

Length of side FD = c = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Length of side FD = c = =\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle==\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88

So, area of triangle is 9.88 units^2

4 0
4 years ago
A drink is mixed in the ratio
Contact [7]

Answer:

3

Step-by-step explanation:

 Drink mix ratio:

        Lemonade   :    Orange      :     Cranberry

                 6           :          3          :          C

  Fraction  of Cranberry juice  = \frac{3}{12}

Sum of the ratio = 6 + 3 + C  = 9 + C

   Fraction of Cranberry;

                \frac{C}{9 + C}   = \frac{3}{12}

               3(9 + C)  = 12C

               27 + 3C  = 12C

               27  = 12C - 3C

                9C  = 27

                   C = 3

The missing number will be 3

4 0
4 years ago
A suit is on sale for 29% off. the sale price is $568. what is the regular price?
Eduardwww [97]
569.65...assuming that your rounding up.

I forgot to move the decimal 4 spaces.

to get the answer multiply 568.00
X .29
_________
1.6472

round 1.647 to 1.65 then add that to 568.00

3 0
3 years ago
4(4 + 7x) + x 2 -6x +5
balu736 [363]
Factoring this equation would get you (x+21)(x+1)
4 0
2 years ago
(05.06) A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours t
Anestetic [448]

Answer: The company can build 10 child bikes and 12 adult bikes in the week .

Step-by-step explanation:

Let 'c' be the number of child bike and 'a' be the number of adult bike.

According to the problem

The restriction of building time for a week is 4c+6a≤120 hours.........(1)

and the restriction of testing time for a week is 4c+4a≤100 hours...............(2)

Lets check whether company can build c=10 and a=12 bikes in a week by putting this value in (1) and (2)

(1)......4(10)+6(12)=40+72=112≤120 ⇒Restriction of building time is satisfied.

(2)......4(10)+4(12)=40+48=88≤100⇒Restriction of testing time is satisfied.

Hence,  the company can build 10 child bikes and 12 adult bikes in the week,as order is meeting with the restrictions.

4 0
3 years ago
Read 2 more answers
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