Answer:
C. sides of 3, 4 and 7
can't form a triangle.
the longest side (7) must be shorter than the sum of the other 2 sides.
Step-by-step explanation:
<em>BD</em> = 56
Step-by-step explanation:
Step 1: In rectangle, the diagonals are congruent and bisect each other.
So, <em>AC</em> = <em>BD</em>
⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>
⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>
⇒ 2<em>AG</em> = 2<em>GD</em>
⇒<em>AG</em> = <em>GD</em>
⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43
⇒–7<em>j</em> – 5<em>j</em> = 43 – 7
⇒–12<em>j</em> = 36
⇒<em>j</em> = –3
Step 2: <em>BD</em> = 2<em>DG</em>
<em>BD</em> = 2(5<em>j</em> + 43)
= 2(5 (–3) + 43)
= 2(–15 + 43)
= 2 × 28
= 56
Hence, <em>BD</em> = 56.
Hello,
Vertices are on a line parallele at ox (y=-3)
The hyperbola is horizontal.
Equation is (x-h)²/a²- (y-k)²/b²=1
Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and 2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)
Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6
c²=a²+b²==>b²=36-4²=20
Equation is:
Answer:
-8
Step-by-step explanation:
(x-3y=136) + (18x+3y=288) We collect both processes to make y's disappear
19x=-152
x=-8
Answer: Option A
The median is the same as the _ Second quartile_.
Step-by-step explanation:
Given a series of data ordered from least to greatest, the median is the value that is in the center.
That is, the median represents the value that divides 50% of the data.
In the same way, the first quartile
is the value that divides 25% of the data and the third quartile
is the value that divides 75% of the data.
The second quartile
is the number that divides 50% of the data.
Then notice that the second quartile is equal to the median
Then te answer is the option A.