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3 years ago

11

Priyanka is trying to find the area of this rectangle she already measured one side 10 cm which other lengths could she measure

to use in her area calculation explain your reasoning

1 answer:

Flauer [41]3 years ago

4 0

She could measure the next length to the left or right and she will have all 4 sides because a rectangle has 2 sets of equal sides.

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The difference between roots of the quadratic equation x^2+x+c=0 is 6. find c.

DiKsa [7]

Answer:

$\displaystyle c = -\frac{35}{4} = -8.75$ .

Step-by-step explanation:

Let the smaller root to this equation be $m$ . The larger one will equal $m + 6$ .

By the factor theorem, this equation is equivalent to

$a(x - m)(x - (m+6))= 0$ , where $a \ne 0$ .

Expand this expression:

$a\cdot x^{2} - a(2m + 6)\cdot x + a(m^{2} + 6m) =0$ .

This equation and the one in the question shall differ only by the multiple of a non-zero constant. It will be helpful if that constant is equal to $1$ . That way, all constants in the two equations will be equal; $(m^{2} + 6m)$ will be equal to $c$ .

Compare this equation and the one in the question:

The coefficient of $x^{2}$ in the question is $1$ (which is omitted.) The coefficient of $x^{2}$ in this equation is $a$ . If all corresponding coefficients in the two equations are equal to each other, these two coefficients shall also be equal to each other. Therefore $a = 1$ .

This equation will become:

$x^{2} - (2m + 6)\cdot x + (m^{2} + 6m) =0$ .

Similarly, for the coefficient of $x$ ,

$\displaystyle -(2m +6) = 1$ .

$\displaystyle m = -\frac{7}{2}$ .

This equation will become:

$x^{2} + x + \underbrace{\left(-\frac{35}{4}\right)}_{c} =0$ .

$c$ is the value of the constant term of this quadratic equation.

8 0

3 years ago

Can someone answer these? You will be marked brainliest with 25 points

Pie

Answer:

it is sideways i cant read it

Step-by-step explanation:

I am confused

4 0

3 years ago

Maximum for n=100x 40y

Greeley [361]

Assuming that here are the choices :
(0,0)
(5,0)
(0,8)
(2,6)

In a question like this, you just need to input the x and the y to the equation and find out which have the greatest n.

From the following above , the answer would be : (5,0)

Hope this helps

6 0

3 years ago

5 divided by 5+4 x 12

AleksandrR [38]

Answer:

49 :))

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Point A is located at (-4, -13). Point B is located at (-4, 3). What is the distance between point A

12345 [234]

Answer:

the distance is 16

Step-by-step explanation:

Hi there!

We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points

the distance formula is given as $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$ where ( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) are points

we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion

$x_{1}$ =-4

$y_{1}$ =-13

$x_{2}$ =-4

$y_{2}$ =3

now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

$\sqrt{(-4--4)^2+(3--13)^2}$

simplify

$\sqrt{(-4+4)^2+(3+13)^2}$

now add the values inside the parenthesis that are under the radical

$\sqrt{(0)^2+(16)^2}$

raise everything under the radical to the second power

$\sqrt{0+256}$

add under the radical

$\sqrt{256}$

now take the square root of 256

$\sqrt{256}$ =16

so the distance between point A and point B is <u>16</u>

Hope this helps! :)

8 0

3 years ago