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KengaRu [80]
3 years ago
7

Explain how you would graph the line containing a slope of –1/5 that goes through the point (1,–4).

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
7 0

Answer:

Step-by-step explanation:

alina1380 [7]3 years ago
5 0

Answer:

y=-1/5x-3.8

The y-intercept is (0,-3.8) and then the next pint would be one unit down and five units to the right. Or just plug in numbers to get your points.

Explanation:

Use the slope-point formula

y-y1=m(x-x1)

y-(-4)=(-1/5)(x-1)

y+4=-1/5x+1/5

y=-1/5x-3.8

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Simplify the expression \[\frac{6}{\sqrt{36} + \sqrt{27}} + \frac{6}{\sqrt{27} + \sqrt{18}} + \frac{6}{\sqrt{18} + \sqrt{9}}.\]
Viktor [21]

Answer:

= 18 ( 3 + 2(\sqrt{3}  + \sqrt{2} ))

Step-by-step explanation:

6(\sqrt{36} +\sqrt{27}) + 6(\sqrt{27} +\sqrt{18}) + 6(\sqrt{18} + \sqrt{9} )\\= 6( {6} +\sqrt{9*3}) + 6( \sqrt{9*3}  +\sqrt{9*2}) + 6(\sqrt{9*2} + 3 )\\= 6( {6} +3\sqrt{3}) + 6(3\sqrt{3} +3\sqrt{2}) + 6(3\sqrt{2} + 3 )\\=36 + 18\sqrt{3} + 18\sqrt{3} + 18\sqrt{2}+ 18\sqrt{2} + 18\\= 36+18  +18( \sqrt{3}+ \sqrt{3} +\sqrt{2} + \sqrt{2})\\= 54 + 18 (2\sqrt{3} +2\sqrt{2})\\=54 + 36\sqrt{3}  + 36\sqrt{2}\\= 18 ( 3 + 2(\sqrt{3}  + \sqrt{2} ))

7 0
3 years ago
the city park department is planning to enclose a play aea. one side of the area will be against an existing building, so no fen
SVEN [57.7K]

Answer:

length = 200 m

width = 400 m

Step-by-step explanation:

Let the length of the plaing area is L and the width of the playing area is W.

Length of fencing around three sides = 2 L + W = 800

W = 800 - 2L ..... (1)

Let A is the area of playing area

A = L x W

A = L (800 - 2L)

A = 800 L - 2L²

Differentiate with respect to L.

dA/dL = 800 - 4 L

It is equal to zero for maxima and minima

800 - 4 L = 0

L = 200 m

W = 800 - 2 x 200 = 400 m

So, the area is maximum if the length is 200 m and the width is 400 m.

8 0
3 years ago
Read 2 more answers
Triangle A:B:C is 5:4:3​
Nitella [24]

Answer: the angles are: 30, 45, 75

Step-by-step explanation:

the sum of the angles of a triangle is 180 degrees.

the angles are in a ratio of 3:4:5.

if you allow the number of degrees in the first angles to be 3x, this means that the number of degrees in the second angle is equal to 4x and the number of degrees in the third angle is equal to 4x.

since the sum of the angles in a triangle is equal to 180 degrees, this means that:

3x + 4x + 5x = 180 degrees which means that 12x = 180.

divide both sides of this equation by 12 and you get x = 180 / 12 = 15 degrees.

this means that the 3x angles is equal to 45 degrees and the 4x angle is equal to 60 degrees and the 5x angle is equal to 75 degrees.

45 + 60 + 75 = 180 degrees so we're good there.

45 / 60 is equal to 3/4

60 / 75 is equal to 4/5

the angles are in the ratio of 3 to 4 to 5 which is as originally assumed, so we're good all around and that's your answer.

the angles are:

30, 45, 75

the ratio of 3:4:5 means that:

the first angle is in a ratio of 3/4 with the second angle.

the second angle is in a ratio of 4/5 with the third angle.

the first angle is in a ratio of 3/5 with the third angle.

the ratio of the first angle with the third angle is equal to 45/75.

simplify that by dividing both numerator and denominator by 15 and you get 3/5.

7 0
3 years ago
Trapezoid ABCD is congruent to trapezoid A"B"C"D". Which sequence of transformations could have been used to transform trapezoid
Contact [7]

Answer:ygggydtdgdgdfddgfs

Step-by-step explanation:

8 0
2 years ago
(x-4)2 + 3x at the value x = 7
Volgvan

Answer:

30

Step-by-step explanation:

x = 7

( x - 4 )^2 + 3x

= ( 7 - 4 )^2 + 3 ( 7 )

= 3^2 + 21

= 9 + 21

= 30

6 0
2 years ago
Read 2 more answers
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