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2 years ago

Will mark Brainliest ONLY IF YOU EXPLAIN THE ANSWERS!!! 35 points for 4 questions! I'm in a quiz please help!?!

Mathematics

1 answer:

Rudik [331]2 years ago

8 0

Answer: 1.B 2.C 3.A 4.d

Step-by-step explanation:

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Alan says that two lines in the coordinate plane are perpendicular if and only if the slopes of the lines are m and 1m. Identify

mart [117]

Answer:

First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)

That is the first error of Alan.

Now, there is another error.

If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).

But we can not really divide by zero, so we should state that:

m can not be zero, if a line is horizontal, the perpendicular line must be vertical.

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2 years ago

What is the scale factor from polygon ABCD to polygon PQRS??

luda_lava [24]

Answer:

We need the grid to figure this out

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2 years ago

The slope of diagonal OA is ? and its equation is ?

Nimfa-mama [501]

Answer:

Slope = $\frac{4}{3}$

Equation of the line → $y=\frac{4}{3}x$

Step-by-step explanation:

Let the equation of diagonal OA is,

y = mx + b

Here, m = Slope of the line OA

b = y-intercept

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,

m = $\frac{4-0}{3-0}$

m = $\frac{4}{3}$

Since, line OA is passing through the origin, y-intercept will be 0.

Therefore, equation of OA will be,

$y=\frac{4}{3}x$

3 0

2 years ago

Conservation of Species A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be sol

JulijaS [17]

Answer:

The turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.

Ten years after the conservation measures are implemented the population will be 3260 turtles.

Step-by-step explanation:

To find the rate of growth of the turtle population at any time <em>t</em> you need to find $N'(t)$

$\frac{d}{dt}N(t)=\frac{d}{dt}(2t^3+3t^2-4t+1000)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\\frac{d}{dt}(2t^3)+\frac{d}{dt}(3t^2)-\frac{d}{dt}(4t)+\frac{d}{dt}(1000)\\\\\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}\\\\N'(t)=6t^2+6t-4$

In particular, when t = 2 and t = 6, we have

$N'(2)=6(2)^2+6(2)-4=32\\\\N'(6)=6(6)^2+6(6)-4=248$

so the turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.

The turtle population at the end of the tenth year will be

$N(10)=2(10)^3+3(10)^2-4(10)+1000\\N(10)=3260 \:turtles$

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2 years ago

A deli sells ham for $2.98 per half pound. Kyle incorrectly says that the unit rate is $1.49 per pound. Explain Kyle's mistake a

sveticcg [70]

The correct answer per pound is $1.49 per pound. Kyle is correct because dividing 2.98/2= 1.49 or multiplying Kyle's answer by 2 will give you the correct amount!

7 0

2 years ago

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