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2 years ago

Find the midpoint M of the line segment joining the points P = (-8, 3) and Q = (-2, -7).

Mathematics

1 answer:

Gnom [1K]2 years ago

7 0

Answer:

Step-by-step explanation:

Let (x,y) be midpoint of P(3,4) & Q(5,−2)

Midpoint formula for two points (a,b) and (c,d) is

(x,y) =(

a+c

b+d

3+5

4−2

∴ (x,y)=(4,1)

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Aya = a1 + (n - 1)d

Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

Step-by-step explanation:

Given

a₁ = -33

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = -33 and d = 4 in the nth term of the sequence

$a_n=-33+\left(n-1\right)4$

$\:a_n=-33+4n-4$

$a_n=4n-37$

Thus, the nth term of the sequence is:

$a_n=4n-37$

now substituting n = 26 in the nth term to determine the 26th term of the sequence

$a_n=4n-37$

$a_{26}=4\left(26\right)-37$

$a_{26}=104-37$

$a_{26}=67$

Therefore, the 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

7 0

2 years ago

Nora had already read thirty percent of the book before he teacher assigned it to the class she is choosing between two options.

kompoz [17]

I need some points so I put this

5 0

3 years ago

Read 2 more answers

Grayson went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and

Illusion [34]

The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.

<u>Step-by-step explanation:</u>

Let us consider the soda bottles as x and juice bottles as y.

From the given data we can derive 2 equations,

35x+15y= 410. .....(1)

x=y+6. ....(2)

Substitute equation (2) in (1),

35(y+6)+15y=410.

35y+ 210+15y=410.

50y+210=410.

50y=410-210.

50y=200.

y=4.

Substitute y value in equation (2),

x=4+6.

x=10.

The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.

4 0

3 years ago

What is the GCF of 11ab + 32ab ?

Diano4ka-milaya [45]

The GCF is of 11ab +32ab is 43ab

6 0

3 years ago

In a study of the effect of handedness on athletic ability, participants were divided into three groups: right-handed, left-hand

inessss [21]

Answer:

Option A) Discrete and quantitative

Step-by-step explanation:

We are given the following situation in the question:

In a study of the effect of handedness on athletic ability.

Variable 1: Handedness - right-handed, left-handed, and ambidextrous

Variable 2: Athletic ability measured on a 12-point scale.

Dependent Variable:

The dependent variable is the response variable and its value depends on the independent variable.

A change in independent variable leads to a change in the dependent variable.

For the given case the athlete ability is the dependent variable that depends on the independent variable of handedness.

Athletic ability is measured on a 12 point scale. thus, it can take numerical values from 0 to 12.

Thus, it is a quantitative variable.

Since theses values are always expressed in whole numbers and not in decimals so they cannot take all the values within an interval.

Thus, it is a discrete variable.

Option A) Discrete and quantitative

8 0

2 years ago