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3 years ago

HELPPP PLEASEEE!! This is due later tonight and I’m struggling! I’ve missed a few days of school from sickness! Help a girl out!

Mathematics

1 answer:

tekilochka [14]3 years ago

6 0

10. 8x+4y=4. y=mx+b
-8x. -8x
4y=-8x+4
÷4. ÷4. ÷4
y = -2x +1
slope = -2. y-int= 1

11. slope is changing y over changing x
m = (y2 -y1)/(x2-x1) (0,-1) x1 = 0, y1=-1
(-4-(-1))/(-2-0) (-2,-4) x2 = -2, y2 = -4
(-4 + 1) / (-2)
-3/-2 = 3/2 answer is 3/2
12. b because negative cause it flip in x axis and it become flatter because of the fraction.
13. 2y =8-8x
÷2. ÷2 ÷2
y = 4 - 4x
Answer A
14. B

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If tan 0 = 12/5 and cos 0 = - 5/13 then what is sin 0

slamgirl [31]

Refer to the diagram shown below.

Because tan θ = 12/5 and cos θ = -5/13, therefore θ is in quadrant 3.
The sine function is negative in quadrant 3, therefore
sin θ = - 12/13

Answer: - 12/13

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4 years ago

Which equation is represented by the graph?

Elina [12.6K]

Answer:

$y = - |x| + 2$

Step-by-step explanation:

The graph is similar to Parabola. The transformation of graph is also similar to Parabola.

For B choice, the graph doesn't move by y-axis.

For C choice, the graph would have max-point at -2.

For D choice, similar to the B choice.

8 0

3 years ago

Zoe, Latoya, Christina, and Rhoda each used a different method to verify that Negative 2 (3 x minus 12) = negative 6 x + 24. Zoe

kow [346]

Answer:

d) Rhoda's method

Step-by-step explanation:

We are given an Algebraic expressions

Negative 2 (3 x minus 12) = negative 6 x + 24.

= -2(3x - 12) = -6x + 24

Distributive property states that:

a(b - c) = ab - ac

2(3x - 12) = -2 × 3x - (-2 ×12)

= -6x + 24

From the above question, we can deduce the following information:

a) Zoe

Step 1

Substitute opposite values of x into both expressions.

2(3x - 12) = -6x + 24

Lets say x = 1, opposite of 1 = -1

Hence

2(3 × 1 - 12) = -6(-1) + 24

-2(3 - 12) = 6 + 24

-6 + 24 = 6 + 24

18 ≠ 18

Step 2.

The expressions are equivalent if the values of the expressions are equal.

Zoe is wrong

b) Latoya

Step 1

Substitute the same value of x into both expressions.

Step 2

The expressions are equivalent if the value of one of the expressions is zero.

Latoya is wrong

c) Christina

Step 1

Substitute opposite values of x into both expressions.

Step 2

The expressions are equivalent if the values of the expressions are opposites.

Christina is wrong

d) Rhoda

Step 1

Substitute the same value of x into both expressions

-2(3x - 12) = -6x + 24

Let say x = 1

-2(3 × 1 - 12) = -6(1) + 24

-2(3 - 12) = -6 + 24

-6 + 24 = -6 + 24

18 = 18

Step 2

The expressions are equivalent if the values of the expressions are equal.

Therefore, Rhoda method is correct

5 0

3 years ago

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

RSB [31]

Answer:

The volume of the solid is:

$\displaystyle\frac{19\pi}{6}$

Step-by-step explanation:

See the graph of the region attached.

To find the intersection between the line and the parabola we set the equation equal to each other, and solve that quadratic equation by factorization:

$x^2=9-8x\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,x=1$

Since the region is the one for $x\ge 0$ then the intersection we are interested on is x=1 as it can also be seen in the graph.

Then we set the integral using shell method for revolving about the y-axis:

$\displaystyle\int_a^b 2\pi\,x\,h(x)\,dx$

Where h(x) is the height of the shell which here is the distance between the parabola and the line, so $8x-9-x^2$ (since the line is on the top we subtract from it the parabola)