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Alisiya [41]
4 years ago
12

Factor Completely: 25x2 - 64

Mathematics
1 answer:
prohojiy [21]4 years ago
6 0
This is a difference of perfect squares which is of the form:

(a^2-b^2)

And which always factors to:

(a-b)(a+b)  

In this case:

(5x-8)(5x+8)
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On the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs. If this patte
Allushta [10]

Answer:

16 runs.

Step-by-step explanation:

We have been given that on the first day of baseball tournament Jessie scored 2 runs. On the second day, 4 runs. On the third day, 6 runs.

We can see that runs scored by Jessie form an arithmetic sequence, where each successive term is 2 more than the previous term.

Since we know that formula for nth term of an arithmetic sequence is: a_n=a_1+(n-1)d, where,

a_n=\text{nth term of the sequence},

a_1=\text{1st term of the sequence},

n=\text{Number of terms of the sequence},

d=\text{Common difference}.

Since on the first day Jessie scored 2 runs, so a_1=2 and difference between two consecutive terms is 2 (4-2=2), so d will be 2.

Upon substituting our values in arithmetic sequence formula we will get,

a_n=2+(n-1)*2

a_n=2+2n-2

a_n=2n

Therefore, formula for nth term of sequence representing number scored by Jessie on the baseball tournament is a_n=2n.

Let us find the 8th term of sequence by substituting n=8 in our sequence formula.

a_8=2*8

a_8=16

Therefore, Jessie should score 16 runs on the eighth day of baseball tournament.

8 0
3 years ago
WILL GIVE BRAINLIEST AND 5 STARS PLEASE HURRY! y= ____ x= ____
IgorLugansk [536]

Answer:

y = -1/4x - 6

Step-by-step explanation:

Write the equation in the form y = mx + b. First find the slope (m), then find the y-intercept (b). Leave the y and the x as they are.

I gave the slope-intercept form. :) Hope it helps!

3 0
3 years ago
Find the area of the circle leave your answer in terms of pi with diameter of 4 yd
elena-s [515]

Answer:

4pi

Step-by-step explanation:

because the formula is A=r^2xpi

3 0
3 years ago
Please help me quick :(
Vinvika [58]

Answer:

I don't know how helpful I'll be, sorry :(

Step-by-step explanation:

So the scale factor is 1/4 reduction because the triangle P'Q'R' is smaller than the original. When reflecting the triangle P'Q'R' over the Y axis, you'll have P"Q"R". The graphing might be a little confusing but it's just a vertical reflection.

P" = (-1,0)

Q"= (0,-1)

R"= (2,-1)

Triangles PQR and P"Q"R" are not congruent because P"Q"R" has had a 1/4 reduction and a vertical reflection.

7 0
3 years ago
Help! Find the answers pleaseeeeee
OleMash [197]

Answer:

Step-by-step explanation:

area of rectangle=20×11=220 sq. cm.

area  of circle=π×4²=16π≈50.27 sq.cm

area of remaining rectangle=220-50.27≈169.73 sq.cm.

4 0
3 years ago
Read 2 more answers
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