The point that divides the line from M to E in ratio 1:3 is (-7/2,8)
Step-by-step explanation:
Given points are:
M(-6,7) = (x1,y1)
E(4,11) = (x2,y2)
Let the ratio be a:b
Then from 1:3
a=1
b=3
The formula for finding the point that divides the line segment into ratio a:b is:
Hence,
The point that divides the line from M to E in ratio 1:3 is (-7/2,8)
Keywords: Coordinate Geometry, Lines
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Answer:
We can introduce a variable ( a letter representing an unknown ) to help us solve this question.
Let χ = "a number..."
We can rewrite the sentence in the following way:
7( χ + 2 ) = 8
To solve for χ , we can first distribute 7:
7 ∗ χ + 7∗(2) = 8
7χ + 14 = 8 ⇐ since 7 times 2 is 14
Let's get χ by itself first. We do so by subtracting 14 from both sides of the equation:
7χ + 14 - 14 = 8 - 14
7χ + 0 = -6 ⇐
7χ = -6 ⇐
The last number in our way is that 7. Let's divide both sides by 7 ( which is the same as multiplying both sides by 1 / 7 ) to figure out what χ is:
7χ ∗ ( 1 / 7 ) = -6 ∗ ( 1 / 7 )
χ ∗ ( 7 / 7 ) = - 6 / 7 ⇐
χ ∗ ( 1 ) = - 6 / 7 ⇐
χ = - 6 / 7
Therefore ( we can also use ∴ to represent the word "therefore" ) our number in question is -6 / 7
Step-by-step explanation:
Answer:
95% confidence interval for the population mean is 20.255 and 17.945
Step-by-step explanation:
given data
mean = 19.1
standard deviation = 1.5
n = 9
to find out
95% confidence interval for the population mean
solution
we know 95% confidence interval formula i.e.
mean +/- t * standard deviation/
.............1
here t for 9 students 2.31 ( from t table)
so put all value n t standard deviation and mean in equation 1
= mean +/- t * standard deviation/
= 19.1 +/- 2.31 * 1.5/
= 19.1 +/- 2.31 * 1.5/
= 20.255 and 17.945
95% confidence interval for the population mean is 20.255 and 17.945
B. 11% The reason why is because it says "expect" This is a theoretical question. I was thinking about this for a while until i remembered what my teacher had taught me in the 7th grade!
Answer:
angle DGE= 24 Degree
arc GF= 146degree
Step-by-step explanation:
angle DGE is inscribed in arc DE and arc DE is 48 degree , as we know inscribed angle is half of the arc subyending it , so half of 48 is 24 degree
arc GF subtended the angle GEF which is equal to 73 degree , and this angle is inscribed , if we say inscribed angle is half of the arc subtending it , this means the arc is twice of inscribed angle , so twice of 73 is 146 degree so
angle DGE =24 degree &
ARC GF=146 degree
