Answer
x=-2 and y=-3
Step-by-step explanation:
Step: Solvey=5x+7for y:
Step: Substitute5x+7 for y in 3x+y=−9:
3x+y=−9
3x+5x+7=−9
8x+7=−9(Simplify both sides of the equation)
8x+7+−7=−9+−7(Add -7 to both sides)
8x=−16
8x/8=−16/8
(Divide both sides by 8)
x=−2
Step: Substitute−2 for x in y=5x+7:
y=5x+7
y=(5)(−2)+7
y=−3(Simplify both sides of the equation)
Answer:
x ≈ 10.92
Step-by-step explanation:
Using the sine ratio in the right triangle
sin83° = 
= 
Multiply both sides by 11
11 × sin83° = x, thus
x ≈ 10.92 ( to 2 dec. places )
The area of this figure is 30 square cm.
Explanation
The figure consists of a rectangle and right angled triangle.
length of the rectangle l=6cm
breadth of the rectangle b=4 cm
area of the rectangle=lb=6*4 =
hypotenuse of the right angled triangle=5 cm
height h=4 cm
we have to calculate the base using pythagoras theorem
area of the triangle=
are of the figure=area of the rectangle+area of the triangle=24+6=30 sq cm
9x8y12 it a lot of work to do so I don't want to type how to do the problem
Answer:
Based on this report, you can conclude that a total of ___11__ individuals participated in the research study .
Step-by-step explanation:
Given that a research report describing the results from a repeated-measures study states:
The data show no significant difference between the two treatments, t(10) = 1.65, p > .05.
Since t(10) is given, we can conclude that degrees of freedo is 10
Hence sample size is 10+1 =11
Based on this report, you can conclude that a total of ___11__ individuals participated in the research study .
