Answer:
Option D.
Step-by-step explanation:
- First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
- Next, we know that the formula for calculating the area of a right angled triangle is given by:
A = 1/2 (base × perpendicular height)
- The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
- Therefore, the formula will be:
A = 1/2 (x.x)
=1/2 (x²)
32 = 1/2 (x²)
Multiplying both sides by 2 gives:
32×2 = x²
64 = x²
8 = x
To find the third side, we use the Pythagoras theorem:
C² = A² + B²
= 8² + 8²
= 128
C = √128
= 8√2
However, the answer will not be exact, so we multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)
Repeating the steps above gives C = √ (16)² + (16)²
= √256
This corresponds to option D.
Answer:
The last listed functional expression:
Step-by-step explanation:
It is important to notice that the two linear expressions that render such graph are parallel lines (same slope), and that the one valid for the left part of the domain, crosses the y-axis at the point (0,2), that is y = 2 when x = 0. On the other hand, if you prolong the line that describes the right hand side of the domain, that line will cross the y axis at a lower position than the previous one (0,1), that is y=1 when x = 0. This info gives us what the y-intercepts of the equations should be (the constant number that adds to the term in x in the equations: in the left section of the graph, the equation should have "x+2", while for the right section of the graph, the equation should have x+1.
It is also important to understand that the "solid" dot that is located in the region where the domain changes, (x=2) belongs to the domain on the right hand side of the graph, So, we are looking for a function definition that contains 
for the function, for the domain: 
.
Such definition is the one given last (bottom right) in your answer options.
Answer:
y= -2/3x+6
Step-by-step explanation:
so answer is C
Answer:
56 degrees.
Step-by-step explanation:
We need the measure of < g.
The triangle formed by the 2 tangents and the chord is isosceles, because 2 tangents from a point outside a circle are of equal length (by the Two Tangents theorem).
Also one of the base angles are equal to 62 degrees ( by The Tangent Chord theorem). In fact both base angles are 62 degrees because the triangles an isosceles.
So measure of angle g = 180 - 2(62)
= 56 degrees.
Answer:
i'm not sure but i think its 7,14,21
Step-by-step explanation:
7,14,21
