3. -x²+-4x+-8
To solve:
−4x−5+−1(x²+3)
−4x+−5+−1x²+(−1)(3)
−4x+−5+−x²+−3
Combine like terms.
−4x+−5+−x²+−3
(−x²)+(−4x)+(−5+−3)
5.
It is not in standard form since this answer does NOT have x=, y=, #=. It only has the numbers. So, this is NOT in standard form.
Answer:
3/8 cups
Step-by-step explanation:
Total fraction = 1/4 + 1/8
= 2/8 + 1/8
= 3/8
Answer:
-7
Step-by-step explanation:
The full coordinate is (-7,3) the dot is on the line between -6 and -8
Answer:
It will cost $79.38 to carpet the shape
Explanation:
Find the diagram of the parallelogram attached
Area of a parallelogram = Base * Height
Given
Base = 8.1m
Height = 3.5m
Area of the parallelogram = 8.1*3.5
Area of a parallelogram = 28.35m²
Since 1m² = $2.80
28.35m² = x
Cross multiply
x = 28.35 * 2.80
Hence it will cost $79.38 to carpet the shape
Answer: C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90° [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90° [by definition of altitude]
Therefore by AA similarity postulate, we have
ΔMNO ≈ ΔPNO
