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den301095 [7]
4 years ago
14

Write the equation of the line, with the given properties, in slope intercept form. Slope=-8, through (-3,6)

Mathematics
1 answer:
e-lub [12.9K]4 years ago
4 0

y = - 8x - 18

the equation of a line in ' slope-intercept form ' is

y = mx + c (m is slope and c the y-intercept )

here m = - 8 ⇒ y = - 8x + c

to find c substitute ( - 3 , 6 ) into the equation

6 = 24 + c ⇒ c = 6 - 24 = - 18

y = - 8x - 18 is the equation


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If <img src="https://tex.z-dn.net/?f=%20%28x%2By%29%5E%7B2%7D%20%20" id="TexFormula1" title=" (x+y)^{2} " alt=" (x+y)^{2} " al
olga_2 [115]

(x + y)^2 = 36


x^2 + 2xy + y^2 = 36


x^2+ y^2 = 36 - 2xy = 36- 2(-7)= 36+14=50


Answer: 50




4 0
3 years ago
Please help me. thank you so much
Sergio [31]

Answer:

7.5

Step-by-step explanation:

So the constant proportionality is easy, it is the depindent veriable (how much it cost) divided by the independent veriable (how much fabric you have).

Put simply you know how much it will cost if you know how many yards you have. so if i have 2 yards i know it cost 15 dolars.

We could make a simple algebraic expretion that describes the proportionality.

C⁒y=7.5

So 7.5 is our constant, so if you know the cost or how many yards we have we always know what the other is.

So if i had 6.7 yards how much would it cost.

It would cost $50.25, what i did was i multiplied 6.7*7.5(our constant) and we got out cost c. Just to dubble check we can plug it in;

50.25⁒6.7 does=7.5 so it works.

8 0
3 years ago
A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building.
Paul [167]

Answer:

10.4feet

Step-by-step explanation:

The set up wil form a right triangle

Length of the ramp is the hypotenuse

The length of the end of the ramp from the base= 10 feet (adjacent)

Angle of elevation = 15 degrees

Required

Length of the ramp

Using SOH CAH TOA

Cos  theta = adj/hyp

cos 15 = 10/L

L = 10/cos15

L = 10/0.9659

L = 10.35

L ≈ 10.4 feet

Hence the length of the ramp is 10.4feet

3 0
3 years ago
Read 2 more answers
Factorise this equasion<br> X^2-5
Morgarella [4.7K]

Answer:

(x - \sqrt{5} )(x + \sqrt{5} )

Step-by-step explanation:

x² - 5 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - 5

= x² - (\sqrt{5} )²

= (x - \sqrt{5} )(x + \sqrt{5} )

6 0
3 years ago
What's the solution to the table
cricket20 [7]
(.8,2.1) I believe is the correct answer
6 0
3 years ago
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