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2 years ago

Which value of y would make O P is parallel to L N? 16 24 32 36

Mathematics

2 answers:

natita [175]2 years ago

8 0

Answer:

Step-by-step explanation:

Triangle proportionality theorem,

$\frac{MO}{OL}=\frac{MP}{PN}\\\\\frac{28}{14}=\frac{y}{18}\\\\\frac{28}{14}*18=y\\\\y=\frac{28}{7}*9\\\\y=4*9\\\\y=36$

Alexxandr [17]2 years ago

5 0

Answer: D. 36

Step-by-step explanation: I took the test on edge

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If f(1) = 0 what are all the roots of the function f(x)=x^3+3x^2-x-3 use the remainder theorem.

ArbitrLikvidat [17]

Solution:

As we are given that f(1) = 0 .

It mean that $(x-1)$ is one of the factor of the given equation.

Remainder theorem can be applied as below:

$\frac{(x^3+3x^2-x-3)}{(x-1)}=\frac{x^3-x^2+4x^2-4x+3x-3}{(x-1)}\\ \\\frac{x^3-x^2+4x^2-4x+3x-3}{(x-1)}=\frac{x^2(x-1)+4x(x-1)+3(x-1)}{(x-1)} \\\\\frac{x^2(x-1)+4x(x-1)+3(x-1)}{(x-1)}=\frac{(x^2+4x+3)(x-1)}{(x-1)} \\\\\frac{(x^2+4x+3)(x-1)}{(x-1)} =\frac{(x^2+3x+x+3)(x-1)}{(x-1)} \\\\\frac{(x^2+3x+x+3)(x-1)}{(x-1)} =\frac{(x-1)(x+3)(x+1)}{(x-1)}$

Hence the factors are (x-1),(x+3) and (x+1).

Hence the correct option is B.

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2 years ago

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The distance d (in miles) that you can see to the horizon with your eye level h feet above the water is given by d=3h2−−−√. You

liubo4ka [24]

Answer: He cannot see a ship that is 4.5 miles away.

Step-by-step explanation:

Since we have given that

$d=3\sqrt{h}$

Here, h is the eye level above the water

d is the distance away.

If h = 12 feet

We will get :

$d=3\sqrt{12}\\\\d=3\times 2\sqrt{3}\\\\d=6\sqrt{3}\\\\d=10.39$

Hence, it is 10.39 feet away when eye level is 12 feet above the water.

Therefore , he cannot see a ship that is 4.5 miles away.

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2 years ago

Mr. Ortez told each student in his class to pick a folded piece of graph paper from a bowl. He instructed them to study the grap

Natalka [10]

Answer:

a graph that connects 3 points connected by a straight line that passes through (5, 0)

Step-by-step explanation:

A graph is the representation of numerical data by one or more lines that give visibility to the relationship between the data. Understanding graphics today is an essential task, as they are very present in our daily lives, whether in newspapers, magazines, the internet, etc.

If a teacher asks each student to take a piece of graph paper containing a graph, study the graph and tell which graph represents graphs of equivalent proportions. The student who has a graph that connects 3 points connected by a straight line passing through (5, 0) is the student who should speak.

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2 years ago

Webassign find the area of the region bounded by the parabola y = x2, the tangent line to this parabola at the point (6, 36), an

Dvinal [7]

First find the tangent line

dy/dx=2x
at x=6, the slope is 2(6)=12
so
use point slope form
y-y1=m(x-x1)
point is (6,36)
so
y-36=12(x-6)
y-36=12x-72
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alright, so we know they intersect at x=6
and y=12x-36 is below y=x^2

so we do $\int\limits^6_0 {x^2} \, dx - \int\limits^6_0 {12x-36} \, dx = \int\limits^6_0 {x^2-(12x-36)} \, dx = \int\limits^6_0 {x^2-12x+36} \, dx =$
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the area under the curve bounded by the lines and the x axis is 72 square units

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2 years ago

Find the quotient of 2.5 × 10-3 and 7.1 × 106. What can be concluded about the solution? Check all that apply. 1. The E indicate

beks73 [17]

its a, b, and d

i just did this question on edge

and got it right

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2 years ago

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