<em>Directed numbers</em> are numbers that have either a <u>positive</u> or <u>negative </u>sign, which can be shown on a <em>number line</em>. Therefore, point F is Fifteen-halves of line <em>segment</em> DE.
A <u>number line</u> is a system that can show the positions of <em>positive</em> or <em>negative</em> numbers. It has its <em>ends</em> ranging from <em>negative infinity</em> to <em>positive infinity</em>. Thus any <em>directed</em> number can be located on the line.
Directed numbers are numbers with either a <u>negative</u> or <u>positive </u>sign, which shows their direction with respect to the <em>number line.</em>
In the given question, the <u>distance</u> between points D and E is <em>9 units</em>. So that <em>dividing</em> 9 units in the ratio of 5 to 6, we have;
x 9 = 
= 
Therefore, the <em>location</em> of point F, which <u>partitions</u> the directed line segment from d to E into a 5:6 ratio is
. Thus the<em> answer</em> is <u>Fifteen-halves.</u>
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Answer:
No
Step-by-step explanation:
Let's use the Pythagorean Theorem. For those of you that don't know, it is
.
11 is the bigger side in this case, so our formula would go like this:
.
We now calculate to see if this is true.
25 + 36
121
Therefore, the answer is wrong.
Answer:
g= -5
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
84-(4*(1-4*g))=0
84 - 4 • (1 - 4g) = 0
3.1 Pull out like factors :
16g + 80 = 16 • (g + 5)
16 • (g + 5) = 0
4.1 Solve : 16 = 0
This equation has no solution.
A a non-zero constant never equals zero.
4.2 Solve : g+5 = 0
Subtract 5 from both sides of the equation :
g = -5
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Answer:
x=3y-11
then now putting the value of x in second equation
4(3y-11)-3y =26
12y - 44-3y=26
9y=44+26
9y=70
y=70/9
now putting the value of y in 1st equation then
x=3*70/9-11
x=37/3
now checking this is correct or not in 2nd eqn
4*37/3-3*70/9=26
148-70/3=26
26=26
Step-by-step explanation: