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3 years ago

10

Which binomial is a factor of 9x2 + 24xy + 16y2?

1 answer:

Slav-nsk [51]3 years ago

7 0

Answer:

B

Step-by-step explanation:

multiply 3x+4y by 3x+4y and you will get 9x2 + 24xy + 16y2

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Find the slope between the two points: (9,9) and (12,15)

grandymaker [24]

The slope formula is $\frac{Y2-Y1}{X2-X1}$ . For the two points, $(x,y)$ . You can pick any of the Y and X from these two points, but only once. $\frac{9-15}{9-12}$ = $\frac{-6}{-3}$ = 2 or $\frac{15-9}{12-9}$ = $\frac{6}{3}$ = 2 and both will equal to. The answer for the slope is 2.

3 0

2 years ago

Read 2 more answers

Which students line segments have a midpoint of (-1,4)? Select all that apply A. Student 1 B. Student 2 C. Student 3 D. Student

SashulF [63]

Answer:

C. Student 3

E. Student 5

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

<u><em>Verify the midpoint of each student</em></u>

student 1

we have the endpoints

(-9,0) and (11,-8)

substitute in the formula

$M(\frac{-9+11}{2},\frac{0-8}{2})$

$M(1,-4)$

so

The midpoint is not (-1,4)

student 2

we have the endpoints

(-6,-1) and (4,-7)

substitute in the formula

$M(\frac{-6+4}{2},\frac{-1-7}{2})$

$M(-1,-4)$

so

The midpoint is not (-1,4)

student 3

we have the endpoints

(-5,2) and (3,6)

substitute in the formula

$M(\frac{-5+3}{2},\frac{2+6}{2})$

$M(-1,4)$

so

<u>The midpoint is equal to (-1,4)</u>

student 4

we have the endpoints

(-3,10) and (5,-2)

substitute in the formula

$M(\frac{-3+5}{2},\frac{10-2}{2})$

$M(1,4)$

so

The midpoint is not (-1,4)

student 5

we have the endpoints

(0,-3) and (-2,11)

substitute in the formula

$M(\frac{0-2}{2},\frac{-3+11}{2})$

$M(-1,4)$

so

<u>The midpoint is equal to (-1,4)</u>

therefore

Student 3 and student 5

3 0

3 years ago

Please help!! giving brainly<br>do as much as you can

Blizzard [7]

Answer:

Step-by-step explanation:

7)Fraction of apple pie after eaten by Jeremy = 1 - (1/3) = 2/3

Fraction of pie eaten by Sara

$= \dfrac{1}{4}*\dfrac{2}{3} \\\\\\= \dfrac{1}{2*3}\\\\=\dfrac{1}{6}$

8)

$Fraction \ of \ allowence \ spent \ on \ magazines = \dfrac{5}{8}*\dfrac{2}{3}=\dfrac{5*1}{4*3}=\dfrac{5}{12}$

Fraction left = $1 -\dfrac{5}{12}=\dfrac{12}{12}-\dfrac{5}{12}=\dfrac{12-5}{12}=\dfrac{7}{12}$

5 0

2 years ago

Solve for x in the equation x squared + 10 x + 12 = 36.

Anna35 [415]

It’s the first one

x = -12 or x=2

6 0

3 years ago

How many solutions does the equation have, x1 + x2 + x3 = 10 , where x1 , x2, and x3 are non-negative integers?

MAVERICK [17]

Non-negative integers are positive integers or zero.

1. When $x_1=0,$ then there are such possible cases for $x_2$ and $x_3:$

$x_2=0,\ x_3=10;$
$x_2=1,\ x_3=9;$
$x_2=2,\ x_3=8;$
$x_2=3,\ x_3=7;$
$x_2=4,\ x_3=6;$
$x_2=5,\ x_3=5;$
$x_2=6,\ x_3=4;$
$x_2=7,\ x_3=3;$
$x_2=8,\ x_3=2;$
$x_2=9,\ x_3=1;$
$x_2=10,\ x_3=0.$

In total 11 solutions for $x_1=0.$

2. For $x_1=1,$ there are such possible cases for $x_2$ and $x_3:$

$x_2=0,\ x_3=9;$
$x_2=1,\ x_3=8;$
$x_2=2,\ x_3=7;$
$x_2=3,\ x_3=6;$
$x_2=4,\ x_3=5;$
$x_2=5,\ x_3=4;$
$x_2=6,\ x_3=3;$
$x_2=7,\ x_3=2;$
$x_2=8,\ x_3=1;$
$x_2=9,\ x_3=0.$

In total 10 solutions for $x_1=1.$

3. This process gives you

for $x_1=2$ - 9 solutions;
for $x_1=3$ - 8 solutions;
for $x_1=4$ - 7 solutions;
for $x_1=5$ - 6 solutions;
for $x_1=6$ - 5 solutions;
for $x_1=7$ - 4 solutions;
for $x_1=8$ - 3 solutions;
for $x_1=9$ - 2 solutions;
for $x_1=10$ - 1 solution.

4. Add all numbers of solutions:

$11+10+9+8+7+6+5+4+3+2+1=66.$

Answer: there are 66 possible solutions (with non-negative integer variables)

8 0

3 years ago

Read 2 more answers