Answer:
10x + 9
Step-by-step explanation:
3(2x + 2) +4x + 3
=> 6x + 6 + 4x + 3
=> 10x + 9
Therefore, 10x + 9 is the solved equation.
Hoped this helped.
Which statements below correctly describe the relationship shown in the table
1 answer:
You might be interested in
Given that the function is
We need to determine the average rate of change over the interval
<u>Value of f(x) when x = 0:</u>
Substituting x = 0 in the function , we have;
Thus, the value of f(0) is 7.
<u>Value of f(x) when x = 5:</u>
Substituting x = 5 in the function , we have;
Thus, the value of f(5) is 2.
<u>Average rate of change:</u>
The average rate of change can be determined using the formula,
where and
Thus, we have;
Thus, the average rate of change over the interval is -1.
(1) See below for a diagram. Basically, the distance on the ground from the person to the building (34 ft) is adjacent to the angle of elevation (74 degrees) and the height of the building (labeled h in the diagram) is the side opposite the angle. Since we are dealing with opposite and adjacent we use the tangent of the angle and tan = opp/adj
Specifically,
<span class="_wysihtml5-temp-placeholder"></span>
feet.
Please be sure your calculator is set to degrees (not radians) when you do this problem.
(2) Here since P & Q are complimentary it means that their sum is 90 degrees. Since this is a right triangle that means that the remaining angle (R) must be the right angle. See below for a diagram.
sin = opp/hyp. As the sin Q = 9/41 this means that 9 is the length of the side opposite Q (the side PR) and 41 is the length of the hypotenuse. This makes the remaining side (QR) 40 in length.
cos = adj/hyp. If we focus on angle P the side adjacent (next to) is 9 and the hypotenuse is 41. Thus the cos of P = 9/41.
You could have also realized that if P & Q are complimentary the sin P = cos Q and the cos P = sin Q. We were not asked about tangent but it is also the case that tan P = cot Q and cot P = tan Q.
Specifically,
Please be sure your calculator is set to degrees (not radians) when you do this problem.
(2) Here since P & Q are complimentary it means that their sum is 90 degrees. Since this is a right triangle that means that the remaining angle (R) must be the right angle. See below for a diagram.
sin = opp/hyp. As the sin Q = 9/41 this means that 9 is the length of the side opposite Q (the side PR) and 41 is the length of the hypotenuse. This makes the remaining side (QR) 40 in length.
cos = adj/hyp. If we focus on angle P the side adjacent (next to) is 9 and the hypotenuse is 41. Thus the cos of P = 9/41.
You could have also realized that if P & Q are complimentary the sin P = cos Q and the cos P = sin Q. We were not asked about tangent but it is also the case that tan P = cot Q and cot P = tan Q.