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3 years ago

Can someone help me please!!

Mathematics

2 answers:

OlgaM077 [116]3 years ago

8 0

Answer:

(-5, 4) slope = -3/5

Y = -.6x +1

Source: http://www.1728.org/distance.htm

(Scroll to the bottom for explanation)

Step-by-step explanation:

nevsk [136]3 years ago

3 0

Answer:

y = (-3x/5) +1

Step-by-step explanation:

We know that the line passes through the point (-5 , 4)

AND

the slope is given to be -3/5

let's look at the slope a bit more

we know that the formula for slope of a line is Rise / Run

Which means that the rise of this line is -3 after spanning 5 units to the right

Hence, the line goes down 3 units after moving 5 units to the right

We know that to find the equation of a line through the point-slope equation, we need the slope as well as the y-intercept of the line

since we are already given the slope, we need to find the point where the line intersects the y-axis

Now, back to the given point the line passes through

this point has a x - coordinate of -5 and we know that after moving 5 units to the right, the line moves 3 units downwards

So, if the line moves 5 units to the right from the given point, it will reach the y- axis and we know that it's y-coordinate will decrease by 3

Hence, the y-intercept will be 3 units below the given y -coordinate

y - intercept = (4 - 3) = 1 = y-intercept

Now, using the slope-intercept formula to get the equation:

y = (slope)*x + (y-intercept )

y = (-3/5)x + (1)

y = (-3x/5) + 1

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1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m

Flauer [41]

1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m².

a = 51 m, b = 37 m, c = 20 m

semiperimeter: p = (51+37+20):2 = 54 m

Area of triangle:

$A=\sqrt{p(p-a)(p-b)(p-c)}\\\\A=\sqrt{54(54-51)(54-37)(54-20)}\\\\A=\sqrt{54\cdot3\cdot17\cdot34}\\\\A=\sqrt{9\cdot2\cdot3\cdot3\cdot17\cdot17\cdot2}\\\\A=3\cdot2\cdot3\cdot17\\\\A=306\,m^2$

Rate: ₹ 3 per m².

Cost: ₹ 3•306 = ₹ 918

2. Find the area of the isosceles triangle whose perimeter is 11 cm and the base is 5 cm.

a = 5 cm

a+2b = 11 cm ⇒ 2b = 6 cm ⇒ b = 3 cm

p = 11:2 = 5.5

$A=\sqrt{5.5(5.5-3)^2(5.5-5)}\\\\ A=\sqrt{5.5\cdot(2.5)^2\cdot0.5}\\\\ A=\sqrt{11\cdot0.5\cdot(2.5)^2\cdot0.5}\\\\A=0.5\cdot2.5\cdot\sqrt{11}\\\\A=1.25\sqrt{11}\,cm^2\approx4.146\,cm^2$

3. Find the area of the equilateral triangle whose each side is 8 cm.

a = b = c = 8 cm

p = (8•3):2 = 12 cm

$A=\sqrt{12(12-8)^3}\\\\ A=\sqrt{12\cdot4^3}\\\\ A=\sqrt{3\cdot4\cdot4\cdot4^2}\\\\A=4\cdot4\cdot\sqrt{3}\\\\A=16\sqrt3\ cm^2\approx27.713\ cm^2$

4. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

a = 2x

b = 3x

2x + 2•3x = 32 cm ⇒ 8x = 32 cm ⇒ x = 4 cm ⇒ a = 8 cm, b = 12 cm

p = 32:2 = 16 cm

$A=\sqrt{16(16-8)(16-12)^2}\\\\ A=\sqrt{16\cdot8\cdot4^2}\\\\ A=\sqrt{2\cdot8\cdot8\cdot4^2}\\\\ A=8\cdot4\cdot\sqrt2\\\\ A=32\sqrt2\ cm^2\approx45.2548\ cm^2$

8 0

3 years ago

(x – 2)^2 + 20 = 0

seraphim [82]

Answer:

x = 2 ± 2 sqrt(5)i

Step-by-step explanation:

(x – 2)^2 + 20 = 0

Subtract 20 from each side

(x – 2)^2 + 20 -20=0 -20

(x – 2)^2 =- 20

Take the square root of each side

sqrt((x – 2)^2) =±sqrt(- 20)

x-2 = ±sqrt(- 20)

We know sqrt(ab) = sqrt(a) sqrt(b)

x-2 = ±sqrt(- 1) sqrt(20)

We know the sqrt (-1) = i

x-2 = ±i sqrt(4*5)

x-2 = ±i sqrt(4) sqrt(5)

Add 2 to each side

x-2+2 = 2 ±i sqrt(4) sqrt(5)

x = 2 ±i 2 sqrt(5)

x = 2 ± 2 sqrt(5)i

7 0

3 years ago

Please help me with this:

Katen [24]

Answer:

She used 22 paper fans, 66 balloons, and 32 streamers.

Step-by-step explanation:

In order to solve this problem, we need to find out the value of the paper fans. Because we need to find out the balloon amount, which is 3 times as much. The amount of streamers is 12 fewer than two times. We can't find it out just yet since we don't know the value of the paper fans. To find it out:

First, let's call the amount of paper fan as "x".

Then, we need to find out the amount of balloons. It is 3 times x. Which is the same as 3x.

The equation is now x + 3x + (?) = 120

We need to find out the amount of the (?).

So, to do that, it says the value is 12 fewer than 2 times the value of x. (x, because it is the amount of paper fans.)

It should be 2x-12.

Now, the equation is x+3x+2x-12=120.

Once we solve it, we know "x" is 22.

Now, we can multiply 3 by 22. Which is 66.

Then we can multiply 22 by 2, which is 44, and subtract 12, which is 32.

To double check, 22 + 44 + 32 = 120.

That's your answer!

5 0

3 years ago

Read 2 more answers

Which information about the coordinates of G and H will prove that GH is a median of AABC?

Annette [7]

Answer:

G (3,-4) ; H (8,1)

Step-by-step explanation:

Midpoint formula:

(x₁ + x₂ / 2 , y₁ + y₂ / 2)

For G (Points B and A):

(3 + 3 / 2 , 1 + (-9) / 2)

(6/2 , -8 / 2)

(3,-4)

For H (Points B and C):

(3 + 13 / 2 , 1 + 1 / 2)

(16 / 2 , 2 / 2)

(8,1)

3 0

3 years ago

Please help please ASAP please please help ASAP

Otrada [13]

Answer:

Step-by-step explanation:

30% of 60=(3)(6)

5 0

3 years ago