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2 years ago

Write the equation of the line.

Mathematics

1 answer:

Vikentia [17]2 years ago

7 0

Answer:

y=2x+4

Step-by-step explanation:

First find out the slope, pick out 2 points. For ex. (-2,0) & (0,4)

Slope=4-0/0-(-2)

=4/2

Y-intercept is 4.

Slope-Intercept form: y=mx+b

m is slope & b is y-intercept

y=2x+4

HOPE I helped!

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Exit Ticket

miskamm [114]

Throughout this, I'm assuming that the scale is: 1 square = 1

Not 100% sure if my answers are correct.

Question 1:

The x coordinate must be 2 and the y coordinate must be -1.

Question 2:

The x coordinate would be -2 and the y coordinate would be -1.

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1 year ago

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

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

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2 years ago

Fractions : $1,000 1/4. Someone plz help

olga2289 [7]

Not 100% sure exactly what you’re asking, but if you are asking what is 1/4 of $1,000, all we need to do to find the answer is divide $1,000 by the denominator of the fraction which is 4

$1,000 ÷ 4 = $250

Therefore, 1/4 of $1,000 is $250

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2 years ago

Evan’s family drove to a theme park for vacation. Assume they drove the same speed throughout the trip. The first day, they drov

hichkok12 [17]

50 miles per hour as they have been driving at a constant speed of 50 miles per hour throughout the trip.300/6=50 and 250/5=50

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2 years ago

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Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expect

Amanda [17]

P(8 or 12) = 1/6
P(not 8 or 12 = 5/6
Let the expected points fro one roll be X.
$E(X)=9\times\frac{1}{6}-2\times\frac{5}{6}=-\frac{1}{6}\ points$
The answer is -(1/6) points.

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2 years ago

Read 2 more answers