To solve this, we would need to figure out the values of 
for which an absolute value is negative. From basics, you should know that an absolute value is always greater than or equal to 0.
If we rearrange this equation a little bit, we get,
So 
<em>cannot </em>be negative. So,
For this to <em>have </em>a solution, k needs to be greater than or equal to 
.
For <em>no solution</em>, k is less than -5. So, values of k which will make the equation to <em>not </em>have any solution is 
.
ANSWER:
Answer:
Step-by-step explanation:
if the ratio is 8:11 then 40:x
Cross multiply
8 40
11 x
8x=440
And divide by 8
x=55. She has 55 books
B
C
=
16.17
(
2
d
p
)
c
m
Explanation:
In triangle ABC, side
A
C
=
15
, Angles are
∠
B
=
68
0
;
∠
C
=
24
0
and
∠
A
=
180
−
(
68
+
24
)
=
88
0
We know by sine law
A
C
sin
B
=
B
C
sin
A
or
15
sin
68
=
B
C
sin
88
or
B
C
=
15
⋅
sin
88
sin
68
=
16.17
(
2
d
p
)
c
m
Step-by-step explanation:
The cost per day is $65 per day, the total cost for 8days will be:
8×65
=520
suppose that E is the number of miles she can drive without exceeding $600.
Thus
0.24×E+520=600
hence solving for E we get
0.24E=600-520
0.24E=80
hence
E=80/0.24
E=333.3333
E~333
9514 1404 393
Answer:
B. 32 square inches
Step-by-step explanation:
Each of the two triangular faces has an area of ...
A = (1/2)bh = (1//2)(6 in)(4 in) = 12 in²
The lateral surface area is the product of the prism height (0.5 in) and the perimeter of the base.
LA = (0.5 in)(5 in +5 in + 6 in) = 8 in²
So, the total area is the area of the two base and the lateral area:
SA = 2A +LA
SA = 2(12 in²) +8 in² = 32 in²
The surface area of the prism is 32 square inches.
