4)
In the graph we can see that the graph intersects the x axis at -5 & 1
So x = -5 or x= 1
Hence
x +5 = 0 or x -1 = 0
Multiplying them we get
(x+5)(x-1) are the correct factors
Option C) is the right answer
5)
We have
x² - 10x + 24=0
We need two numbers which add to give -10 & multiply to give 24.
The numbers are -6 & -4
We split the term -10x
We get
x² -6x-4x+24=0
x(x-6)-4(x-6)=0
(x-6)(x-4)=0
Using Zero Product rule
x-6 = 0 or x-4=0
x = 6 or x = 4
Option C) is the right answer.
Answer:
I don't know i am new
Step-by-step explanation:
Sorry
You first combine like terms -1x and -4x to make the equation 21=6-5x then subtract 6 from itself to cancel it out and from 21, 15=5x where x= 3
Answer:
Angle D is equal to 80.
Step-by-step explanation:
We know that the sides are congruent and that angle ACB is congruent to angle ECD by the vertical angles theorem.
Triangles' angles always add up to 180.
180 - 70 - 30 = 80
angle D is equal to 80.
Answer:
x = 34
∠S = 38
∠T = 111
Step-by-step explanation:
Angles in a triangle add up to equal 180
If ΔRST is a triangle and ∠R, ∠S and ∠T are angles in that triangle
Then ∠R + ∠S + ∠T = 180
That being said we want to create an equation to solve for x
If angles in a triangle have a SUM of 180
Then, 31 + x + 4 + 3x + 9 = 180
We now solve for x
Step 1 combine like terms
31 + 4 + 9 = 44
x + 3x = 4x
we now have 44 + 4x = 180
step 2 subtract 44 from each side
44 - 44 cancels out
180 - 44 = 136
We now have 136 = 4x
Step 3 divide each side by 4
4x / 4 = x
136 / 4 = 34
We're left with x = 34
Now we want to find the measures of ∠S and ∠T
To do so, we substitute 34 for x in their given expression
∠S = x + 4
* substitute 34 for x *
∠S = 34 + 4
34 + 4 = 38
Thus ∠S = 38°
∠T = 3x + 9
* substitute 34 for x *
∠T = 3 ( 34 ) + 9
34 * 9 - 102
102 + 9 = 111
Thus, ∠T = 111°
