Out of 840 discs tested, 38 are defective. Estimate the number of defective discs in a batch of 43,000.

There are five cars in line at a stoplight. Each of these cars is a different color and different type of car. Diego is driving

miskamm [114]

I think Atom has the pick up truck

8 0

3 years ago

Write an equation of the line containing the point (6,-4) and perpendicular to.the line y=-2x-3

igor_vitrenko [27]

Answer:

$y=\frac{1}{2}x-7$

Step-by-step explanation:

So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.

First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:

$m_1\cdot m_2=-1$

Plug -2 for one of the slopes.

$-2\cdot m_2=-1$

Divide by -2 to find the slope of our line.

$m_2=1/2$

Thus, our line needs to have a slope of 1/2.

Now, let's use the point-slope form. The point-slope form is given by:

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

Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:

$y-(-4)=\frac{1}{2}(x-6)\\$

Simplify and distribute:

$y+4=\frac{1}{2} x-3$

Subtract 4 from both sides:

$y=\frac{1}{2}x-7$

The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.

5 0

3 years ago

e vertices of a rectangle are R(-5,-5), S(-6,-5),T(-1,1),U(-5,1) a translation maps R to the point (2,-9)

Tema [17]

Answer:

The rule of translation : $(x,y)\rightarrow (x+7,y-4)$

The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

Step-by-step explanation:

The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).

It is given that a translation maps R to the point (2,-9).

Difference between x-coordinates:

$-5-2=-7$

Difference between y-coordinates:

$-5-(-9)=-5+9=4$

The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.

The rule of translation is

$(x,y)\rightarrow (x+7,y-4)$

The vertices of image are

$R(-5,-5)\rightarrow R'(-5+7,-5-4)=R'(2,-9)$

$S(-6,-5)\rightarrow S'(-6+7,-5-4)=S'(1,-9)$

$T(-1,1)\rightarrow T'(-1+7,1-4)=T'(6,-3)$

$U(-5,1)\rightarrow U'(-5+7,1-4)=U'(2,-3)$

Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

7 0

3 years ago

Brass is an alloy of zinc and copper. if 30%of the content is zinc, find the weight of zinc and copper in 300 grams of brass if

Marina86 [1]

Answer:

Socratic app

Step-by-step explanation:

it will help you

8 0

3 years ago

Best explained and correct answer gets brainliest.

Zolol [24]

Your answer would be A because $4800 is your starting number and it increases 2% every year. How much is it in 20 years?

You use the formula ab^x
a is your starting number
b is the percentage
x is always the length of time

Since you are increasing and trying to get its worth larger than what it was before you use a number larger than one hundred percent in this case the number would be 1.02.

Y=4800(1.02)^20
Y=$7132.55

3 0

3 years ago