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2 years ago

Please give me the awnser I will brainlist

Mathematics

1 answer:

Mrrafil [7]2 years ago

8 0

Answer:

sum of two even numbers will always be even. conjecture just means to make a generalization based on patterns

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Math help Please!!!!

GalinKa [24]

Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?

Rewrite the equation −2y=3x+7 in the form $y=-\dfrac{3}{2}x-\dfrac{7}{2}.$ Here the slope of the given line is $m_1=-\dfrac{3}{2}.$ If $m_2$ is the slope of perpendicular line, then

$m_1\cdot m_2=-1,\\ \\m_2=-\dfrac{1}{m_1}=\dfrac{2}{3}.$

Answer 1: $\dfrac{2}{3}$

Part B. The slope of the line y=−2x+3 is -2. Since $-\dfrac{3}{2}\neq -2\quad \text{and}\quad \dfrac{2}{3}\neq -2,$ then lines from part A are not parallel to line a.

Since $-2\cdot \left(-\dfrac{3}{2}\right)=3\neq -1\quad \text{and}\quad -2\cdot \dfrac{2}{3}=-\dfrac{4}{3}\neq -1,$ both lines are not perpendicular to line a.

Answer 2: Neither parallel nor perpendicular to line a

Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then

2·5+5·(-4)=b,

10-20=b,

b=-10.

Answer 3: 2x+5y=-10.

Part D. The slope of the line $y=\dfrac{x}{4}+5$ is $\dfrac{1}{4}.$ Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then

7=-4·2+b,

b=7+8,

b=15.

Answer 4: y=-4x+15.

Part E. Consider vectors $\vec{p}_1=(-c-0,0-(-d))=(-c,d)\quad \text{and}\quad \vec{p}_2=(0-b,a-0)=(-b,a).$ These vectors are collinear, then

$\dfrac{-c}{-b}=\dfrac{d}{a},\quad \text{or}\quad -\dfrac{a}{b}=-\dfrac{d}{c}.$

Answer 5: $-\dfrac{a}{b}=-\dfrac{d}{c}.$

5 0

3 years ago

Read 2 more answers

Can you form a right triangle with the three lengths given? Why or why not? 4mi, 5mi, 6mi

Vladimir [108]

A right triangle must satisfy this equation: a^2 + b^2 = c^2

a= shortest length
b=medium length
c=the longest length

a triangle with sides 4,5,6 will satisfy not this equation because:
4^2 + 5^2 ≠ 6^2
16+25 = 41

41 ≠ 36

so the answer is C.

Hope this helps.

-Jabba

6 0

3 years ago

Read 2 more answers

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 40% chan

azamat

Answer:

There are a 25% probability that Christine fails the course.

Step-by-step explanation:

We have these following probabilities:

A 50% probability that Christine finds a tutor.

With a tutor, she has a 10% probability of failling.

A 50% probability that Christine does not find a tutor.

Without a tutor, she has a 40% probability of failing.

Probability that she fails:

10% of 50%(fail with a tutor) plus 40% of 50%(fail without a tutor). So

$P = 0.1*0.5 + 0.4*0.5 = 0.25$

There are a 25% probability that Christine fails the course.

6 0

3 years ago

a square has the side measurment of s = 2 3 over 2 using the formula 1= s^2 find the area of the square

vitfil [10]

Check the picture below.

$\bf A=s^2\qquad s=2\frac{3}{2}\qquad A=\left( 2\frac{3}{2} \right)^2\implies A=\left( \frac{2\cdot 2+3}{2} \right)^2
\\\\\\
A=\left( \frac{7}{2} \right)^2\implies A=\cfrac{7^2}{2^2}\implies A=\cfrac{49}{4}\implies A=12\frac{1}{4}$

3 0

3 years ago

How many different nine player batting orders can be chosen from a baseball team of 16?

lawyer [7]

This problem is basically $_{16}P_9$

$_nP_r = \frac{n!}{(n - r)!}$

If I plug in n = 16 and r = 9

$\frac{16!}{(16-9)!} = \frac{16!}{7!} = 4151347200$

So there are 4151347200 different nine player batting orders that can be chosen from a baseball team of 16 :)

4 0

2 years ago