Answer:
h=6
Step-by-step explanation:
19h-7=23+14h
-7-23=14h-19h
-30=-5h
h=6
Answer:
Length of diagonal of picture = 15.30 inches
Step-by-step explanation:
Given that:
Side lengths of picture frame = 12 inches by 9.5 inches
As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.
Using Pythagorean theorem;
a²+b²=c²
Putting the values in the theorem

Taking square root on both sides

Hence,
Length of diagonal of picture = 15.30 inches
46+19+54= 119, so the answer is 119
Answer:
2 pieces.
Step-by-step explanation:
To identify how many pieces he can split with 8/10 of a candy bar, divide 8/10 by 1/3.
<u>Divide 8/10 by 1/3:</u>

<u>Find the Ricipricol, then flip the sign:</u>

<u>Multiply:</u>
<u />
2.4 represents how many pieces of chocolate he can make with 8/10 of a candy bar.
However, 2.4 pieces can't be made, therefore he can only make 2 <u>full</u> pieces.
Answer:
The graph not have x-intercepts
Step-by-step explanation:
we know that
The x-intercept is the value of x when the value of y is equal to zero
we have

This is the equation of an absolute value in vertex form open upward
The vertex is the point (2,12)
The y-coordinate of the vertex is above the x-axis and the graph open upward
That means ----> The graph do not intersect the x-axis
therefore
The graph not have x-intercepts
<u><em>Verify</em></u>
For y=0
substitute in the equation

----> is not true
The left side of the equation cannot be a negative number
so
The equation not have solution for y=0
therefore
The graph not have x-intercepts
see the attached figure to better understand the problem