negative fifteen and thirteen-fifteenths
ten and eight-fifteenths
fifteen and thirteen-fifteenths
It is the second choice
Answer:
B is correct i just took the test and got it right
Step-by-step explanation:
Answer:
Area of the triangle(A) is given by:
....[1]
where,
b is the base and h is the height of the triangle.
As per the statement:
The area of a triangular block is 64 square inches.
⇒
It is given that: If the base of the triangle is twice the height
⇒ .....[2]
Substitute these in [1] we have;
⇒
or
⇒ inches.
Substitute h =8 in [2] we have;
in.
therefore, the base and height of the triangle are: 16 inches and 8 inches.
The solution to the equation 4x - 9 = 11 is x = 5.
We will use the appropriate algebraic operations to isolate the variable x in order to solve the equation 4x - 9 = 11 for x.
Here is the detailed answer:
Let's start with the formula: 4x – 9 = 11.
To get rid of the constant term on the left side, add 9 to both sides of the equation:
4x - 9 + 9 = 11 + 9.
When we simplify, we obtain 4x = 20.
To separate x, divide both sides of the equation by 4:
(4x)/4 = 20/4.
To further simplify, we have x = 5.
As a result, x = 5 is the answer to the equation 4x - 9 = 11.
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28 yd²
40 yd²
52 yd²
64 yd²
y is greater than or equal to negative 5 over 2 times x plus 5
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically. (4 points)
Answer:
:Part A) The graph in the attached figure (see the explanation)
Part B) The ordered pair is not included in the solution area for the system (see the explanation)
Step-by-step explanation:
Part A) we have
----> inequality A
The solution of the inequality A is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line is (0,-8)
The x-intercept of the dashed line is (2,0)
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The slope of the solid line is negative
The y-intercept of the solid line is (0,5)
The x-intercept of the solid line is (2,0)
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Part B) is the point (5, -8) Included in the solution area for the system?
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities
Substitute the value of x=5, y=-8 in each inequality and then analyze the results
Inequality A
----> is true
so
the ordered pair satisfy inequality A
Inequality B
---> is not true
so
the ordered pair not satisfy the inequality B
therefore
The ordered pair is not included in the solution area for the system