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3 years ago

Pleaseeee helppppppppp

Mathematics

1 answer:

katen-ka-za [31]3 years ago

5 0

Answer:

Step-by-step explanation:

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A triangle and a square are drawn on dotty paper with dots 1 cm apart. What is the area of the region coloured red?

Anna71 [15]

Answer:

≈ 0.9 cm²

Step-by-step explanation:

I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.

F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.

Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,

F(x,2)

(2-3) / (x-1) = -2/3

2x-2 = 3 x = 2.5

*F (2.5 , 2)

G (3,y)

(y-3) / (3-1) = -2/3 y = 5/3

*G (3 , 5/3)

*point I (3 , 2)

segment FI = 3-2.5 = 0.5 = 1/2

segment GI = 2 - 5/3 = 1/3

area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083

area of polygon DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²

3 0

2 years ago

Write the expression in factored form

olchik [2.2K]

$2.)\\ \\ n^2 - 9n +14 = 0 \\ \\ a=1 , \ b = -9, \ c = 14 \\ \\\Delta =b^2-4ac = (-9)^2 -4\cdot1\cdot 14 = 81 -56 = 25 \\ \\n_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{9-\sqrt{25}}{2 }=\frac{ 9-5}{2}=\frac{4}{2}= 2$

$n_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{9+\sqrt{25}}{2 }=\frac{ 9+5}{2}=\frac{14}{2}= 7 \\ \\ Answer : \ n^2 - 9n +14 =(n-2)(n-7)$

$3.)\\ \\ n^2 + 4n - 12 =0 \\ \\ a=1 , \ b = 4, \ c = -12 \\ \\\Delta =b^2-4ac = 4^2 -4\cdot1\cdot (-12) = 16+48=64 \\ \\n_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{-4-\sqrt{64}}{2 }=\frac{ -4-8}{2}=\frac{-12}{2}= -6$

$n_{2}=\frac{-b+\sqrt{\Delta} }{2a}= \frac{-4+\sqrt{64}}{2 }=\frac{ -4+8}{2}=\frac{4}{2}=2\\ \\ Answer : \ n^2 +4n -12 =(n+6)(n-2)$

second way :

$2.)\\ \\ n^2 - 9n +14 = n^2 - 9n+2n -2n +14 = n^2 - 7x -2n +14 =\\ \\ = n(n-7)-2(n-7)=(n-7)(n- 2)\\ \\ \\ Answer : \ n^2 - 9n +14 =(n-2)(n-7)$

$3.)\\ \\ n^2 + 4n - 12 = n^2 + 4n +2n - 2n - 12 = n^2 + 6n - 2n - 12 =\\ \\ = n(n+6) -2(n+6)=(n+6)(n-2) \\ \\ \\ Answer : \ n^2 +4n -12 =(n+6)(n-2)$

5 0

4 years ago

Read 2 more answers

mage shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. What is this function written

Art [367]

The answer is f(x) = (x-1)^2 - 7. Hope this helps.

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3 years ago

Read 2 more answers

Identify the location of the point (-3, -2).

Lisa [10]

Point S is where (-3, -2)

7 0

3 years ago

An airplane takes 4 hours to travel 864 miles while flying against the wind. If the speed of the airplane on a windless day is 2

riadik2000 [5.3K]

The speed of the wind is 42mph because if you divide the distance by the time you get the speed of the plane and then subtract it from the normal speed to see how much was reduced and that will be the amount the wind reduced it by.

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4 years ago