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3 years ago

Expand ( p + 6 )( p - 3 )

Mathematics

2 answers:

Mademuasel [1]3 years ago

8 0

Answer:

$\Large \boxed{p^2 +3p-18}$

Step-by-step explanation:

$( p + 6 )( p - 3 )$

Expand brackets.

$p(p-3)+6(p-3)$

$p^2 -3p+6p-18$

Combine like terms.

$p^2 +3p-18$

lina2011 [118]3 years ago

6 0

Answer:

p² + 3p - 18

Step-by-step explanation:

(p + 6) (p-3)

Break it apart to make it easier to see:

p(p-3) = p² - 3p

6(p-3) = 6p - 18

Add both parts together(Combine Like terms):

p² - 3p + 6p - 18 = p² + 3p - 18

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So I really don't understand what I'm doing....I would be glad if you helped

SSSSS [86.1K]

We are supposed to assume FC and AD is straight line
let's find all the angles

you already see the right angle is 90 degrees, you got that right
striaght line is 180 degrees

90+46+EF=180
136+EF=180
minus 136 both sides
EF=44
now we got another straight line
you did get that A F=46 because it is oposite

notice: AB=BC because same angle designition
so now we use
180+46+2AB=360
2AB=134
divide 2
AB=67=BC
AC=134 degrees
CAE=134+46+44=224
ABD=180 since straight line

a. 90
b. 224
c.134
d. 180

8 0

3 years ago

The rectangles below are similar in shape. How wide is the smaller rectangle?

Amanda [17]

Answer:

$\huge\boxed{x=28\ ft}$

Step-by-step explanation:

If two rectangles are similar, then corresponding sides are in proportion.

Therefore we have the equation:

$\dfrac{x}{42}=\dfrac{36}{54}$

cross multiply

$54x=(42)(36)\\\\54x=1512$

divide both sides by 54

$\dfrac{54x}{54}=\dfrac{15212}{54}\\\\x=28$

7 0

3 years ago

A book is 21 centimeters long, how long is this in meters?

Gnesinka [82]

Answer:

0.21 meters :)

Step-by-step explanation:

4 0

3 years ago

The angle measures associated with which set of ordered pairs share the same reference angle? (Negative StartFraction StartRoot

Katarina [22]

Answer:

$(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)$

Step-by-step explanation:

The reference angle is the angle that the given angle makes with the x-axis.

For an ordered pair to share the same reference angle, the x and y coordinates must be the same or a factor of each other.

From the given options:

$(A)\left(-\dfrac{\sqrt{3} }{2} ,-\dfrac{1 }{2}\right)$ and \left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)\\\\(B)\left(\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(-\dfrac{\sqrt{3} }{2}, \dfrac{1 }{2}\right)\\\\(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)\\\\(D)\left(\dfrac{\sqrt{3} }{2},\dfrac{1 }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)$

We observe that only the pair in option C has the same x and y coordinate with the second set of points being a negative factor of the first term. Therefore, they have the same reference angle.

5 0

3 years ago

Read 2 more answers

Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discr

Bad White [126]

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

$x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}$