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3 years ago

6

Solve for x: −3x + 3 < 6

1 answer:

UNO [17]3 years ago

7 0

−3x + 3 < 6

subtract 3 from both sides
-3x < 3

divide both sides by -3

***when you divide or multiply by a negative the sign flips

x>-1

Hope this helps! :)

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A parabola can be represented by the equation x2 = -20y.

aliya0001 [1]

Answer:

$\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)$

Step-by-step explanation:

Given the equation

$x2 = -20y$

A parabola is the locus of points such that the distance to a point the focus equals the distance to a line the directrix.

$4p\left(y-k\right)=\left(x-h\right)^2$ is the standard equation for an up-down facing parabola with vertex at (h, k), and a focal length |p|.

so

$x^2=-20y$

$\mathrm{Switch\:sides}$

$-20y=x^2$

$\mathrm{Factor\:}4$

$4\cdot \frac{-20}{4}y=x^2$

$4\left(-5\right)y=x^2$

$\mathrm{Rewrite\:as}$

$4\left(-5\right)\left(y-0\right)=\left(x-0\right)^2$

$\left(h,\:k\right)=\left(0,\:0\right),\:p=-5$

Parabola is symmetric around the y-axis and so the focus lies a distance\ p from the center (0, 0) along the y-axis.

$\left(0,\:0+p\right)$

$=\left(0,\:0+\left(-5\right)\right)$

$\mathrm{Refine}$

$\left(0,\:-5\right)$

Therefore,

$\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)$

Please check the attached figure too.

6 0

3 years ago

Read 2 more answers

Please help!!will mark brainlyist

viktelen [127]

Answer:

42°

Step-by-step explanation:

$\triangle ABC\cong\triangle TUV.. (given)$

$\therefore \angle B\cong\angle U$

$\therefore m\angle B=m\angle U$

Therefore,

(2y + 2)° = (3y - 18)°

2y + 2 = 3y - 18

2y - 3y = - 2 - 18

-y = - 20

y = 20

$m\angle U=(3y-18)\degree$

$m\angle U=(3\times 20-18)\degree$

$m\angle U=(60-18)\degree$

$m\angle U=42\degree$

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Vaselesa [24]

Answer:

$2.50n + $24 (6x4) = e

Step-by-step explanation:

$6x4 = $24

$2.50n + $24 (6x4) = e

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4 years ago

The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree, to the nearest tenth of a

crimeas [40]

The tree and the shadow make a right triangle with the tree height opposite the 68 degree angle:

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Choice C

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allochka39001 [22]

Step-by-step explanation:

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