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2 years ago

A strip of wood 78 inches long is to be cut into pieces 3 3/4 inches long. How many pieces can be cut?

Mathematics

1 answer:

Ray Of Light [21]2 years ago

8 0

It is 20 because if u divide 78 by 3.75 ( 3 3/4 ) than equals 20.8

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Y = 3x + 4 Y = 3x + 7

Furkat [3]

Answer:

y-7/ 12y+3

Step-by-step explanation:

8 0

2 years ago

Please help me thank u

finlep [7]

It would be A=18 because of the equation a^2+b^2=c^2.

3 0

2 years ago

Simplify (3x − 8) + (2x + 5) − (4x − 8). A) x − 11 B) x + 5 C) x + 21 D) 9x + 5

lozanna [386]

Answer:

Step-by-step explanation:

3x-8+2x+5-4x+8

3x+2x-4x -8+5+8

x + 5

x+5

6 0

2 years ago

Read 2 more answers

Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1

riadik2000 [5.3K]

Answer:

(-2, 3)

Step-by-step explanation:

the point B is

B(x,y)

AB (A to B) is twice BC ( B to C )

AB is 2 - x. BC is x - (-4)= x + 4

2-x=2 (x + 4)

2-x=2x + 8

3x = -6

x = -2

(Same logic as above)

AB is -5 -y. BC is u - 7

-5 -y = 2(y - 7)

-5 - y = 2y - 14

3y = 9

y= 3

the point is (-2, 3)

5 0

2 years ago

Find number a and k so that x-2 is afactor OF F(x)=x4-2ax tax- X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

3 0

2 years ago