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3 years ago

8

Miss Balcon works 7 1/2 hours each day, 5 days a week as a secretary at a Christian school. How many hours would she work in 4 w

eeks?

1 answer:

alexgriva [62]3 years ago

6 0

Answer:

150

Step-by-step explanation:

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Lin wants to bike 9/10 of a mile .She has already biked 4/10 of a mile How much further does she have to bike

maw [93]

Answer: 5/10 or 1/2 mile

Step-by-step explanation: If you subtract 4/10 from 9/10, you get 5/10 miles left to bike. 5/10 simplifies to 1/2 mile.

5 0

2 years ago

2(x-3)= 2x +5 help me out please

Igoryamba

Answer:

Look Down Low

Step-by-step explanation:

2(x - 3) = 2x + 5

Multiply out the left side:

2x - 6 = 2x + 5

Subtract 2x from both sides:

-6 = 5

Since this is impossible, this "equation" cannot be solved.

8 0

3 years ago

Read 2 more answers

Find the equation of the tangent line to the curve (a lemniscate)

olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

The equation of curve is

$2(x^2+y^2)^2=25(x^2-y^2)$

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

$4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})$

$40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})$

$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

$130\frac{dy}{dx}=90$

Divide both sides by 130.

$\frac{dy}{dx}=\frac{9}{13}$

If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

$y-y_1=m(x-x_1)$

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

$y-1=\frac{9}{13}(x)+\frac{27}{13}$

Add 1 on both sides.

$y=\frac{9}{13}(x)+\frac{27}{13}+1$

$y=\frac{9}{13}(x)+\frac{40}{13}$

Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

5 0

2 years ago

The perimeter of the rectangle below is 90 units. find the length of side vy . write your answer without variables.

Salsk061 [2.6K]

The picture in the attached figure

we know that
perimeter of a rectangle=2*[base+height]
base=3y+1
height=2y+3
perimeter=90 units
so
90=2*[(3y+1)+(2y+3)]-----> 90=2*[5y+4]----> 10y+8=90----> y=8.2 units

base=3y+1-----> base=3*8.2+1-----> 25.6 units
height=2y+3----> height= 2*8.2+3---> 19.4 units

the answer is
<span>the length of side vy is (2y+3)-----> 19.4 units</span>

3 0

3 years ago

Pls help me that would be great

omeli [17]

No. No. It is not linear because the slope has to be able to be plugged in to any x, y coordinates and be placed on the line.

4 0

3 years ago