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3 years ago

Work out the following and put them in there simplest form

Mathematics

1 answer:

Rom4ik [11]3 years ago

5 0

Answer:

Step-by-step explanation:

using the reciprocal rule

3/11÷3/11

thats the same as

3/11×11/3

3×11=33

11×3=33

33÷33=1

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Quadrilateral JKLM is graphed with vertices at J(-2,2), K(-1,-5), L(4,0), and M(3,7).

AveGali [126]

Answer:

<u>Question (a)</u>

Midpoint of a line segment:

$M=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Given:

J = (-2, 2)
L = (4, 0)

$\implies \textsf{midpoint of }JL=\left(\dfrac{-2+4}{2},\dfrac{2+0}{2}\right)=(1,1)$

Given:

M = (3, 7)
K = (-1, -5)

$\implies \textsf{midpoint of }MK=\left(\dfrac{3-1}{2},\dfrac{7-5}{2}\right)=(1, 1)$

<u>Question (b)</u>

Find slopes (gradients) of JL and MK then compare. If the product of the slopes of JL and MK equal -1, then JL and MK are perpendicular.

$\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}$

Given:

J = (-2, 2)
L = (4, 0)

$\implies \textsf{slope of }JL=\dfrac{0-2}{4+2}=-\dfrac13$

Given:

M = (3, 7)
K = (-1, -5)

$\implies \textsf{slope of }MK=\dfrac{-5-7}{-1-3}=3$

$\textsf{slope of }JL \times \textsf{slope of }MK=-\dfrac13 \times3=-1$

Hence segments JL and MK are perpendicular

4 0

2 years ago

The sum of 3 consecutive odd integers is 7 less than 4 times the largest number. Find all 3 #’s plz show work

oksian1 [2.3K]

-3, -1, and 1
-3 - 1 + 1 = -3
4*1= 4
4 - 7 = -3

3 0

3 years ago

Read 2 more answers

Tabitha's truck gets between 21 and 24 miles

pickupchik [31]

Start by finding the mean of the gas range:
21+24/2= 22.5
Multiply 22.5 by 20
22.5 x 20= 450

Your answer is 450 miles

4 0

3 years ago

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. Bas

Ivahew [28]

The correct answer is:

D) Jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

3 0

3 years ago

Please help me with these 4 problems

hodyreva [135]

Answer:

1. 4 times 8, the multiplication property 2. 34 minus 4, the subtraction property. 3. 14 divided by 3.5, the division property. 4. 10 + 6, the addition property.

Step-by-step explanation for all of the questions:

If the number in the beginning of the equation is being multiplied by another number, it is the multiplication property. It is the same for all of the other properties.

5 0

3 years ago