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3 years ago

Help please

2 answers:

7 0

A 270-degree clockwise rotation about the origin is equivalent to a 90-degree counterclockwise rotation about the origin. It is also equivalent to itself (270 clockwise = 270 clockwise)

The two correct answers are B and D.

I hope this helps =)

Mandarinka [93]3 years ago

4 0

The answer is counter clockwise 90

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What is the slope-intercept form of the equation of the line with the slope of -5/8 that passes through the point (-14,6)

inessss [21]

Step-by-step explanation:

y-y1 = m(x-x1) is the equation for a linear line in y=mx+b (slope intercept)

slope = m = -5/8

x1 = -14

y1 = 6

y-6 = -5/8 (x--14)

y-6 = -5/8 (x+14)

y-6 = -5/8x-70/8

y-48/8= -5/8x-70/8

y = -5/8x - 22/8

When x = 0, y = -22/8, which makes (0, -22/8) your y intercept

5 0

3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

7 0

3 years ago

Solve: x^4-34x^2=-225

dangina [55]

X
4
−34x
2
+225=0

2 Factor
x
4
−
34
x
2
+
225
x
4
−34x
2
+225.
(
x
2
−
25
)
(
x
2
−
9
)
=
0
(x
2
−25)(x
2
−9)=0

3 Solve for
x
x.
x
=
±
5
,
±
3
x=±5,±3

8 0

3 years ago

I have a question for you guys.

NeX [460]

If George's driveway is a rectangle 12.2 m by 3.0 m, its dimensions in cm are

... 1220 cm long × 300 cm wide × 2 cm deep

Thus the volume of gravel required is

... (1220 × 300 × 2) cm³ = 732,000 cm³

George needs about 0.732 bags, so he will probably need to buy 1 bag.

5 0

3 years ago

What’s the answers ?

Usimov [2.4K]

hope this helps! feel free to clarify if unsure

6 0

3 years ago