Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = 
.
But, 
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. 
So, the ratio is k : 1 i.e 
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, 
= m where
i.e. m = 
i.e. m = 
i.e. m = 
i.e. m = 5.
Hence, the value of m is 5.
Answer:
x = -3
Step-by-step explanation:
The graph is symmetrical about the vertical line through its vertex:
x = -3
Albert bought 2 pounds of catfish and 2 pounds of salmon
Let c represent the amount of catfish in pounds and s represent the amount of salmon in pounds.
He spent a total of $12 on salmon and catfish and bought a total of 4 pounds. Hence:
c + s = 4 (1)
4c + 2s = 12 (2)
Solving equations 1 and 2 simultaneously gives:
c = 2, s = 2
Albert bought 2 pounds of catfish and 2 pounds of salmon
Find out more on equation at: brainly.com/question/2972832
The child is <u>59.4 inches tall</u>, assuming the length from the coach's shoulder to his head cap is approximately 10 inches.
<h3>What is Heigth?</h3>
Height refers to the vertical distance between the top and bottom of something.
Height measures the length of some objects or persons vertically to determine whether it is high or low, according to some ascertained criteria.
<h3>Data and Calculations:</h3>
Baseball coach's height = 70 inches
Coach's shoulder to head = 10.6 inches
Height of the child standing slightly below the coach's shoulder = 59.4 inches (70 - 10.6)
Thus, the child standing slightly below the coach's shoulder is 59.4 inches tall.
Learn more about height measurements at brainly.com/question/73194
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<h3>Question Completion:</h3>
Assume that the height of the coach from his shoulder to the head is 10.6 inches.
