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3 years ago

The graph of y = cosine (x + pi/2) is the graph of the y = cos(x) shifted in which direction?

Mathematics

2 answers:

kap26 [50]3 years ago

5 0

Answer:

pi/2 units to the left

Step-by-step explanation:

Kono Dio Da!!!!

Viktor [21]3 years ago

3 0

Answer:

pi/2 units left

Step-by-step explanation:

f(x + c) is obtained by shifting the graph of f(x) c units towards left

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Which of the following best describes the intersection of two planes? (Points : 5)

charle [14.2K]

In geometry, planes are two-dimensional spaces which extend infinitely. If they do not intersect at all, they are considered parallel. However, if they do intersect, that intersection come in the form of an infinitely-extending collection of 1-dimensional points, which collectively form a line. As such, the answer is "line".

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3 years ago

2. Each of the bracelets that Veronica made has 45 beeds. Shemede 4 bracelets.

cluponka [151]

She used 180 beads because 45x4 =180

6 0

2 years ago

Read 2 more answers

Please help, it's urgent!

KengaRu [80]

It’s the first answer choice... the translation was 5 units to the right (horizontal movement so it affects the x) and it’s to the right (which makes it a positive 5). It didn’t move up or down so the y stays the same

Hope it helps

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3 years ago

Read 2 more answers

Find the equation of locus of a point which moves such that its distance from (0,2) is one third distance from (-2,3). ( I WILL

scoray [572]

Answer:

$8(x^2+y^2)-4x-30y+23=0$

Step-by-step explanation:

Distance formula

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let P(x, y) = any point on the locus

Let A = (0, 2)

Let B = (-2, 3)

If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):

$PA=\dfrac{1}{3}PB$

Therefore, using the distance formula:

$\implies \sqrt{(x-0)^2+(y-2)^2}=\dfrac{1}{3}\sqrt{(x-(-2))^2+(y-3)^2}$

Square both sides:

$\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]$

$\implies x^2+y^2-4y+4=\dfrac{1}{9}(x^2+4x+4+y^2-6y+9)$

Multiply both sides by 9:

$\implies 9x^2+9y^2-36y+36=x^2+4x+4+y^2-6y+9$

$\implies 8x^2+8y^2-4x-30y+23=0$

$\implies 8(x^2+y^2)-4x-30y+23=0$

3 0

2 years ago

2. Provide the next three terms in the sequence and

vivado [14]

The next three terms of -243, 81, -27, 9 is $-3,1, \frac{-1}{3}$ The given series is geometric series

Solution:

Given, series is -243, 81, -27, 9, …

We have to find the next three terms of the above given series.

Now, the given series can also be written as

$-243,-243 \times\left(\frac{-1}{3}\right)^{1},-243 \times\left(\frac{-1}{3}\right)^{2},-243 \times\left(\frac{-1}{3}\right)^{3}$

We can say that, above series is in Geometric Progression with first term = -243 and common ratio = $\frac{-1}{3}$

Then, next three term would be,

$-243 \times\left(\frac{-1}{3}\right)^{4},-243 \times\left(\frac{-1}{3}\right)^{5},-243 \times\left(\frac{-1}{3}\right)^{6} \rightarrow-3,1, \frac{-1}{3}$

Hence, the next three terms of given G.P series are $-3,1, \frac{-1}{3}$

6 0

3 years ago