PLEASEEEE HELPPP!!!!

A student states that the reflection of triangle ABC across the y-axis is triangle A’B’C’. Determine if the student is correct o

Svet_ta [14]

Answer: The student is not correct

To reflect over the y axis, you use this rule

$(x,y) \to (-x,y)$

The x coordinate swaps in sign (from positive to negative, or vice versa) while the y coordinate stays the same.

So for a point like A(1,1), it should move to A ' (-1, 1) and not (-2,1) like the diagram shows.

B(3,1) should move to B ' (-3, 1)

C(1,4) should move to C ' (-1, 4)

It appears that the student applied a reflection over the y axis, and then they shifted the triangle 1 unit to the left.

8 0

2 years ago

(6k^4-k^3-8k)-(5k^4+6k-8k^3)

DerKrebs [107]

Answer:

9y⁴−9y

Step-by-step explanation:

Subtract 8y48y4 from 5y45y4.

6y4−y−8y−(−3y4)6y4-y-8y-(-3y4)

Multiply −3-3 by −1-1.

6y4−y−8y+3y46y4-y-8y+3y4

Simplify by adding terms.

Add 6y46y4 and 3y43y4.

9y4−y−8y9y4-y-8y

Subtract 8y8y from −y-y.

9y⁴−9y

3 0

2 years ago

Read 2 more answers

Help me please and explain please?

Alexeev081 [22]

Answer:

Step-by-step explanation:

A.

First spin Second Spin

____ Red |---------Red

| |---------Green

| |--------Yellow

|

____Blue |---------Red

|----------Green

|---------Yellow

B. Probability of getting a red on the first spin = 1 /2.

8 0

2 years ago

Which of the following lists the angles from smallest to largest?

Damm [24]

The answer TMS

Step-by-step explanation:

4 0

2 years ago

Evaluate the following

IRINA_888 [86]

(a) $[\frac{9}{2.6} - \frac{2.5^{2} }{2.5} ]^{2}$

Answer:

$[\frac{9}{2.6} - \frac{2.5^{2} }{2.5} ]^{2}$

= $[\frac{9}{2.6} - \frac{2.5*2.5 }{2.5} ]^{2}$

= $[\frac{9}{2.6} - \frac{2.5}{1} ]^{2}$

*canceling 2.5 in numerator and denominator*

$= [\frac{9-(2.5)(2.6)}{2.6} ]^2\\*Using L.C.M of 2.6 and 1 which comes out to be '2.6'= [\frac{9-(6.5)}{2.6} ]^2\\= [\frac{2.5}{2.6} ]^2\\*multiplying and dividing by '10'= [\frac{2.5*10}{2.6*10} ]^2\\= [\frac{25}{26} ]^2\\= \frac{25^2}{26^2}\\= \frac{625}{676}\\= 0.925$

Properties used:

Cancellation property of fractions

Least Common Multiplier(LCM)

The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60.

(b) $[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3} ] ^{2}$

Answer:

$[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}] ^{2}\\$

*using $[x^{a}]^b = x^{ab}$ *

$= [\frac{3x^{3a}y^{3b}} {-3x^{3a} y^{3b} }] ^{2}$

*Again, using $[x^{a}]^b = x^{ab}$ *

$= \frac{3x^{2*3a}y^{2*3b}} {-3x^{2*3a} y^{2*3b} } \\= (-1)\frac{3x^{6a}y^{6b}} {3x^{6a} y^{6b} }\\[\tex]*taking -1 common, denominator and numerator are equal*[tex]= -(1)\frac{1}{1}\\= -1$

Property used: 'Power of a power'

We can raise a power to a power

(x^2)4=(x⋅x)⋅(x⋅x)⋅(x⋅x)⋅(x⋅x)=x^8

This is called the power of a power property and says that to find a power of a power you just have to multiply the exponents.

3 0

2 years ago