All categories

2 years ago

(06.04 MC)

Mathematics

1 answer:

Hoochie [10]2 years ago

5 0

Answer: The answer should be -0.5

Step-by-step explanation:

You might be interested in

Find p and q for which the linear eqn has infinite solutions

jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0

3 years ago

What is the first error he made in computing the standard deviation?

artcher [175]

B.yuri divided by n instead of n-1

7 0

3 years ago

Read 2 more answers

One step equations<br> 6r=42

zvonat [6]

R=7

I hope that help you! :)

3 0

3 years ago

Read 2 more answers

Can someone please help me

aniked [119]

#1 √ 75

Answer : 5√3 or ≈ 8.66025

#2 √ 48

Answer : 4√3 or ≈ 6.9282

#3 √ 128

Answer : 8√2 or ≈ 11.31371

#4 √ 300

Answer : 10√3 or ≈ 17.32051

~~

#5 √⅔

Answer :

$\frac{ \sqrt{6} }{3} = 0.816497$

#6 √16/4

Answer : 2

#7 √ 6/8

Answer :

$\frac{ \sqrt{3} }{2} = 0.866025$

#8 √27/9

Answer : √ 2 or ≈ 1.73205

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

5 0

4 years ago

In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.

Alisiya [41]

Observe the figure below.

Statement Reason

1. AC and BD bisect each other Given

2. AE = EC and BE = ED Definition of bisection

3. $m \angle AEB = m \angle CED$ Vertical angle theorem

Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".

4. $\Delta ABE \cong \Delta CDE$ SAS criterion for congruence

5. $m \angle ACD = m \angle CAB$ Corresponding angles of congruent triangles are congruent

6. $AB \parallel CD$ Converse of alternate interior angle theorem

7. $m \angle BEC = m \angle AED$ Vertical angle theorem

8. $\Delta BEC \cong \Delta DEA$ SAS criterion for congruence

9. $BC \parallel AD$ Converse of alternate interior angle theorem

As, $\Delta BEC \cong \Delta DEA$ , so $m \angle CBD = m \angle BDA$ as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".

5 0

3 years ago