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Serga [27]
3 years ago
11

Hey how to do this and what the answer​

Mathematics
1 answer:
frez [133]3 years ago
8 0

Answer:

5x + y - 4 = 0

Step-by-step explanation:

When we are given two points and are asked to find the equation of the line we use the two - point form.

Two - point form: $ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $.

where: $ (x_1,y_1) $ and $ (x_2,y_2) $ are the two points on the line.

Given the two points are: (5,21) and (-5,-29).

Substituting in the two point form:

⇒  $ \frac{y - 21}{-29 - 21} = \frac{x - 5}{-5 -5} $

$ \implies \frac{y - 21}{-50} = \frac{x - 5}{-10} $

$ \implies y - 21 = 5x - 25 $

⇒                              5x + y - 4 = 0

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Find the surface area of each figure round your answers to the nearest hundredth if necessary
Wewaii [24]

Answer: 410 square km

Step-by-step explanation:

The area of each of the triangles with their base on the 10 km side is A=\frac{1}{2}(10)(13.4), so their combined area is (10)(13.4)=134.

The area of each of the triangles with their base on the 12 km side is \frac{1}{2}(12)(13), so their combined area is (12)(13)=156.

The area of the bottom rectangular face is 10(12)=120.

So, the total surface area is 120+156+134=\boxed{410 \text{ km}^{2}}

3 0
2 years ago
I’ll give brainliest:)
Natasha2012 [34]

Answer:

ok ok ok ok ok ok okok ok ok

6 0
3 years ago
Read 2 more answers
Complete the equation for the standard form of the line that has an x-intercept of –4 and a y-intercept of 3
Kazeer [188]

Answer:

The equation for the standard form of the line will be:

  • 3x + (-4y) = -12

Step-by-step explanation:

Given

  • x-intercept = –4
  • y-intercept = 3

The equation of a line in standard form

  • Ax + By = C

where A is a positive integer and B, C are integers

We know the equation of a line in  slope-intercept form

y = mx+b

where m is the slope and b the y-intercept

To calculate the slope, use the gradient formula

m = y₂-y₁ / x₂-x₁

let  

(x₁, y₁) = (-4, 0)             ∵ x-intercept = (-4, 0)

(x₂, y₂) = (0, 3)              ∵ y-intercept = (0, 3)

m = y₂-y₁ / x₂-x₁

    = (3 - 0) / (0 - (-4))

    = 3 / 4

Thus, the equation in slope-intercept form:

y = mx+b

y = 3/4x + 3

  • Writing in standard form

Multiply y = 3/4x + 3 by 4

4y = 3x + 12

3x-4y = -12

3x + (-4y) = -12

Thus, the equation for the standard form of the line will be:

  • 3x + (-4y) = -12

7 0
3 years ago
Simplify -3x^3(2x^2+3)+9x^4
SIZIF [17.4K]

Answer:

ANSWER = −6x^5 +9x^4 − 9x^3

Step-by-step explanation:

Let's simplify step-by-step.

(−3x^3) (2x^2 + 3) + 9x^4

Distribute:

=(−3x^3) (2x^2) + (−3x^3) (3) + 9x^4

=−6x^5 + − 9x^3 + 9x^4


Answer:

= −6x^5 +9x^4 − 9x^3


3 0
3 years ago
Solve the system of equations.​
svetoff [14.1K]

Answer:

The answer is the third bullet. (number 3)

3 0
2 years ago
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