Answer:
Step-by-step explanation:
1.Find X
x^2 +8x+15 = (x+5)
-x -x
x^2+7x+15=5
-5 -5
x^2 +7x+10=0
Do the quadralic formula
a=1 b=7 c=10
<u>-7±√7^2-4(1)(10)</u>
2(1)
<u>-7±√49-40</u>
2
<u>-7±√9</u>
2
-7±3
divide 2 by each number
-3.5 ± 1.5
-3.5+1.5 -3.5-1.5
-2 -5
x= -2 x=-5
2. find the length of the garden
-2+5 =3
the length is 3
3. plug in the length to the area of the garden
-5^2+8(-5)+15=3
solve
25-40+15=3
0=3
the width of the garden is 3 square feet
Given inequality -3(4-6x) < x+5.
We have -3 in front of Parenthesis.
That represents multiplication of -3 and Parenthesis.
The multiplication of Parenthesis could be done by applying distributive property.
On distributing, we get
-12+18x < x+5
x is added on right side of the inequality. The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get
-12+18x-x < x-x+5
-12+17x < 5
Now, we need to get rid -12 from left side.
So, we need to apply addition property of equality, we need to add 12 on both sides, we get
-12+12+18x < x+5+12
17x < 17
We need to get rid 17 from left side. So we need to apply division property of equality.
On dividing both sides by 17, we get
17x/17 < 17/17
x<1.
Answer:
the answer for the problem is 9
Step-by-step explanation:
35-26=9
Answer: 80°
Step-by-Step Explanation:
By Angle Sum Property of a Triangle, all angles in a Triangle add up to 180°
Finding the Value of ‘x’ :-
2x + 3x + 4x = 180
5x + 4x = 180
9x = 180
x = 180/9
=> x = 20
Finding each Angle :-
2x = 2(20) = 2 * 20 = 40°
3x = 3(20) = 3 * 20 = 60°
4x = 4(20) = 4 * 20 = 80°
Hence, the Largest Angle is 80°