the solution of inequality
is ![x>-9](https://tex.z-dn.net/?f=x%3E-9)
Step-by-step explanation:
We need to draw graph of the solution to inequality ![-3x-7](https://tex.z-dn.net/?f=-3x-7%3C20)
First we will solve the inequality to find value of x
Solving the inequality:
![-3x-7](https://tex.z-dn.net/?f=-3x-7%3C20)
Adding 7 on both sides
![-3x-7+7](https://tex.z-dn.net/?f=-3x-7%2B7%3C20%2B7)
![-3x](https://tex.z-dn.net/?f=-3x%3C27)
Divide both sides by -3 and reverse the inequality
![x>-9](https://tex.z-dn.net/?f=x%3E-9)
The graph is attached in the figure below.
So, the solution of inequality
is ![x>-9](https://tex.z-dn.net/?f=x%3E-9)
Keywords: Graph the inequality
Learn more about graph the inequality at:
#learnwithBrainly
Answer:
by 3% percent
Step-by-step explanation:
i hope this helps ._.
Gradient of the line formed;
m=
![\frac{change in y}{change in x}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bchange%20in%20y%7D%7Bchange%20in%20x%7D%20)
m=
![\frac{-2-1}{6--5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-2-1%7D%7B6--5%7D%20)
m=
![\frac{-3}{11}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3%7D%7B11%7D%20)
y=mx+c
y=
![\frac{-3}{11} x+c](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3%7D%7B11%7D%20x%2Bc)
Replacing for x and y;
1=-3/11*(-5)+c
1=15/11+c
c=1-15/11
c=-4/11
y=
Answer:
x = 2
Explanation:
![\frac{3x-1}{5} =\frac{x+1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3x-1%7D%7B5%7D%20%3D%5Cfrac%7Bx%2B1%7D%7B3%7D)
First, make sure they both have common denominators ( 15 )
5 × 3 = 15 and 3 × 5 = 15
Whatever you do to the denominator you have to apply to the numerator. So, multiply the numerator and denominator of the first fraction by 3.
=
Next, multiply the numerator and denominator of the second fraction by 5.
= ![\frac{5(x+1)}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B5%28x%2B1%29%7D%7B15%7D)
Now we have: ![\frac{3(3x-1)}{15} =\frac{5(x+1)}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B3%283x-1%29%7D%7B15%7D%20%3D%5Cfrac%7B5%28x%2B1%29%7D%7B15%7D)
Use distributive property on the numerators of both fractions.
![\frac{9x-3}{15} =\frac{5x+5}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B9x-3%7D%7B15%7D%20%3D%5Cfrac%7B5x%2B5%7D%7B15%7D)
Since the denominators are equal we can ignore them for now and find x.
9<em>x </em>- 3 = 5<em>x</em> + 5
We need to move like terms to different sides to isolate x. First, we can subtract 5<em>x</em> from both sides.
9<em>x</em> - 5<em>x</em> - 3 = 5<em>x</em> - 5<em>x</em> +5
4<em>x</em> - 3 = 5
Then, we can add 3 to both sides to cancel out the -3.
4<em>x</em> - 3 + 3 = 5 + 3
4<em>x</em> = 8
Finally, to find x we divide both sides by 4.
4x ÷ 4 = 8 ÷ 4
x = 2
Answer:If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion
Step-by-step explanation: