1)
||x|-4|= |x-1|
1st step = separate the equation into 2 possible equations
2nd step = solve the equations
|x|-4= x-1
x= -3/2
Or
|x|-4= - (x-1)
X= 5/2
2)
Do the same
X= -5/2
X= 7/2
Determine whether ∆DEF=∆JKL, given that D(2,0), E(5,0), F(5,5), J(3,-7), K(6,-7), and L(6,-2)
raketka [301]
Answer:
Yes , triangle DEF is congruent to JKL
Step-by-step explanation:
Given:
The coordinates of triangle DEF are;
D (2, 0)
E(5. 0)
F(5, 5)
and
the coordinates of triangle JKL are:
J(3, -7)
K(6, -7)
L (6, -2)
The rule of translation is used on triangle DEF to get triangle JKL:

i.e
= J
= K
= L
As, we know that two triangles are known as congruent if there is an isometry mapping one of the triangles to the other.
therefore, triangle DEF congruent to triangle JKL
Answer:
10 m
Step-by-step explanation:
Given:
The discharge of water is equal to the product of of its width, its average depth and its speed.
Let
be discharge of water,
be its width,
be its average depth and
be its speed.
So, 
As per question,

Plug in the above values and solve for
.

Therefore, the average depth of the Mississippi river is 10 m.
130.8 should be your answer!
Answer:
z=-2/3y+1
Step-by-step explanation:
Let's solve for z.
3yz+z=−2
Step 1: Factor out variable z.
z(3y+1)=−2
Step 2: Divide both sides by 3y+1.
z(3y+1)
3y+1
=
−2
3y+1
z=
−2
3y+1
Answer:
z=
−2
3y+1