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Tju [1.3M]
3 years ago
12

The slope of the line

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

C

Step-by-step explanation:

\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }= \frac{8-2}{4-2} =\frac{6}{2} =3

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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
3 years ago
What is the value of 4(3x + 5) when x = 11?
navik [9.2K]

Answer:

152

Step-by-step explanation:

3(11)= 33

4(33+5)

4(33)=132

4(5)=20

132+20=152

5 0
3 years ago
Solve : <br> 20-9x=11<br> 4(2x+1)=8<br> 5(2x+5)=-15<br> 3(8x+1)=-21
laila [671]
<span>20-9x=11
-9x=11-20
-9x= -9
x= -9/(-9)
x=1


4(2x+1)=8
2x+1=8/4
2x+1=2
2x=2-1
2x=1
x=1/2
x=0.5


5(2x+5)=-15
2x+5= -15/5
2x+5= -3
2x= -3-5
2x= -8
x= -8/2
x=-4

3(8x+1)=-21
8x+1= -21/3
8x+1= -7
8x= -7-1
8x =-8
x= -8/8
x= -1
</span>
4 0
3 years ago
I will you brainiest if you can answer this
Trava [24]
The answer is =3125x
3 0
3 years ago
Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also
FinnZ [79.3K]

Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

5 0
2 years ago
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