Answer:
Step-by-step explanation:
x^2-16x+60
(x-6)(x-10) factor the equation
x-6=0
x=6
x-10=0
x=10
The number is 90.
<h3>
What is the number?</h3>
Percentage can be described as the fraction of an amount that is expressed as a number out of hundred. The sign used to represent percentage is %. Percentages are a measure of frequency.
When the number is decreased, the number becomes smaller. This means that the original number is larger than 81.
The equation that can be used to represent the information in the question is:
(1 - percentage decrease) initial number = 81
(1 - 0.1)x = 81
0.9x = 81
x = 81 / 0.9
x = 90
To learn more about percentages, please check: brainly.com/question/25764815
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X=y+3
<span>-5x-4y=<span>30
-------------------
Substitute y + 3 for x in </span></span>-5x-4y=30
<span><span>-5<span>(y+3)-</span></span>4y</span>=<span>30
</span>-9y-15=<span>30
</span>----------------------------
Add 15 to each side
<span><span>-9y-15</span>+15</span>=<span>30+<span>15
-9y = 45
</span></span>-----------------------------------
Divide each side by -9
-9y ÷ -9 = 45 ÷ -9
y = -5
Now we solve for x
====================================================================
Substitute -5 for y in x = y + 3
x=-<span><span>5</span>+<span>3
</span></span>x = -2
----------------------
(-2,-5) is your answer
Im not sure what that means but i can try...
Im not sure the order to put them in but the positive line is
y>1/2x-1
And the negative line is
Y<=3x+1
(I couldn’t find a less than and equal to sign)
Answer:
The original height of the tree is 18 m.
Step-by-step explanation:
Please see attached photo for explanation.
From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:
x² = 5² + 12²
x² = 25 + 144
x² = 169
Take the square root of both side
x = √169
x = 13 m
Finally, we shall determine the original height of the tree. This can be obtained as follow.
From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.
Thus, the original height of the will be the sum of 5 and x i.e
Height = 5 + x
x = 13 m
Height = 5 + 13
Height = 18 m
Therefore, the original height of the tree is 18 m.
