Answer:
each pack costs 2.5, she bought x packs
x=2+4+3=9
she bought 9 packs
so 2.5 times 9=22.50
she spend $22.50
Answer:
y + 20 = 9(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 20) and (x₂, y₂ ) = (9, 79)
m =
=
= 9
Using (a, b) = (- 2, - 20), then
y - (- 20) = 9(x - (- 2)), that is
y + 20 = 9(x + 2)
Answer:
1) b
2) c
Step-by-step explanation:
1)

a can be either 5 or -5, because the absolute value of those is both 5. Therefore, the correct answer for this is b.
2)

Since the absolute value function will always return a positive value, this equation must have no solutions, or choice C. Hope this helps!
Given:

One of the two roots of the given equation is double the additive inverse of the other.
To find:
The value of k.
Solution:
Let two roots of the given equation are
and
.
According to the question,
(Additive inverse of
is
)

If
and
are roots of the quadratic equation
then


We have,

Here, a =1, b=k and c=-98.

![[\because \beta=-2\alpha]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cbeta%3D-2%5Calpha%5D)

...(i)
Now,

![[\because \beta=-2\alpha]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cbeta%3D-2%5Calpha%5D)

Divide both sides by -2.

Taking square root on both sides.


Using (i), we get

Therefore, the value of k is either -1 or 1.
Answer:
Congruent triangles are the triangles whose shape and size are equal. In other words, the triangles whose corresponding sides and angles are equal, are known as congruent triangles.
Similar triangles are the triangles whose shape is equal but the size may vary.
THANKYOU FOR READING.