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2 years ago

6

last year fred earned $156 every week that he worked.he made a total of $4,680.how many weeks did he work

2 answers:

Tju [1.3M]2 years ago

8 0

30 weeks - 4680 divided by 156 is 30

yanalaym [24]2 years ago

6 0

30 weeks because
$4680 \div 156 = 30$

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Find the focus. y= -1/12 (x)² - 6

jolli1 [7]

Answer:

$\Large \boxed{\sf\ \ (0,-9) \ \ }$

Step-by-step explanation:

Hello,

We know that when the parabola equation is

$y=a(x-h)^2+k$

the vertex is (h,k) and the focus is

$(h,k+\dfrac{1}{4a})$

Here, the equation is

$y=-\dfrac{1}{12}x^2-6$

so

$a=-\dfrac{1}{12}\\\\h = 0\\\\k =-6$

So,

$k+\dfrac{1}{4a}=-6-\dfrac{12}{4}=-6-3=-9$

Then, the focus is

$\large \boxed{\sf\ \ (0,-9) \ \ }$

I attached the graph, included the focus so that you can see it :-)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

2 years ago

In the xy-plane, line l has a y-intercept of -13 and is perpendicular to the line with the equation y=-2/3x. If the point (10, b

AlekseyPX

Answer:

The value of $b$ is 2.

Step-by-step explanation:

The standard form of the equation of the line is of the form:

$y = m\cdot x + k$

Where:

$x$ , $y$ - Independent and dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$k$ - y-intercept, dimensionless.

Given that line $l$ is perpendicular to $y = -\frac{2}{3}\cdot y$ , the slope is equal to:

$m = -\frac{1}{m_{\perp}}$

Where $m_{\perp}$ is the slope of the perpendicular line, dimensionless.

If $m_{\perp} = -\frac{2}{3}$ , then:

$m = -\frac{1}{\left(-\frac{2}{3}\right) }$

$m = \frac{3}{2}$

If $x = 0$ and $y = -13$ , the y-intercept of the line $l$ is:

$-13 = \frac{3}{2}\cdot (0) +k$

$k = -13$

The equation of the line $l$ is $y = \frac{3}{2}\cdot x -13$ . Given that $y = b$ and $x = 10$ , the value of $b$ is:

$b = \frac{3}{2}\cdot (10)-13$

$b = 15-13$

$b = 2$

The value of $b$ is 2.

5 0

3 years ago

Tell me how you found it

baherus [9]

I think it is 81 but I'm not sure

8 0

2 years ago

Could someone possibly help me with this

Sergio [31]

Answer:

40

Step-by-step explanation:

The shape has 6 sides a,b,c,d,e,f

The perimeter is the sum of the sides

P = a+b+c+d+e +f

4 of the sides add to 195 a+b+c+d = 195 Replace in the equation

P = 195 +e+f

We know that e and f are equal

P = 195+f+f

P = 195+2f

The perimeter is 275

275=195+2f

Subtract 195 from each side

275 -195 = 195+2f-195

80 = 2f

Divide by 2

80/2 = 2f/2

40 =f

The other 2 sides are 40 ft each

3 0

2 years ago

Sunk relief consisted of cutting an image into a flat surface. true or false.

GarryVolchara [31]

Answer:

The given statement:

Sunk relief consisted of cutting an image into a flat surface is a TRUE Statement.

Step-by-step explanation:

Sunken Relief--

Sunken relief is a technique of relief sculpture in which figures or images are carved in low relief, but set within a sunken area, so that the relief never rises beyond the original flat surface.

This technique was restricted to ancient Egypt.

Hence, the given statement is a true statement.

8 0

3 years ago

Read 2 more answers