Answer:
The standard form of the quadratic equation is x² + 3·x - 4 = 0
Step-by-step explanation:
The standard form of a quadratic equation is a·x² + b·x + c = 0
Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;
(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0
The standard form of the quadratic equation is x² + 3·x - 4 = 0
The graph of the equation created with MS Excel is attached
Answer:
10 weeks
Step-by-step explanation:
205+2t=195+3t
-2t -2t
205=195+t
-195 -195
10=t
Distance travelled in heavy traffic = 40*1 = 40 miles
in light traffic = 60*2 = 120 miles
In total, he travelled = 40+120 = 160 miles
Answer:
<h2>
7/8 gallons of Ginger ale </h2>
Step-by-step explanation:
Total gallons of punch mixture = gallons of pineapple juice + orange juice + gallons of apple juice + gallons of Ginger ale
Given gallons of pineapple juice = 3/4 gallons
Orange juice = 1 1/2 gallons
Gallons of apple juice = 7/8
Total gallons of punch = 4 gallons
On substituting into the formula above:
4 = 
]
gallons of ginger ale = 
gallons ginger ale = 
She needs 7/8 gallons of Ginger ale to make the total of 4 gallons of punch
Two triangle ABE and MNP are similar by AA criterion
Step-by-step explanation:
Given that ABE is an isosceles Δ with ABE= 100°
this means that some of the other two angles must be =180°-100°=80°
Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.
∠BAC=∠ACB=40°
In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning
the angle measures come out to be 40°,40° and 100°
Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"
