Answer:
x=2
Step-by-step explanation:
use distributive property: x^2+2x-1=4
remove the -1 by adding 1 on both sides: x^2+2x=5
use the guadratic fromula: ax²+bx+c=0
plug in the equation x^2+2x-5=0
a,b and c are the coefficients to plug into the formula
a=1, b=2, c=-1
Finally, you will find that x=2
Answer:
Each cookie is $0.67
Step-by-step explanation:
Equation:
1.94 + 12c = 9.98
12c = 8.04
c = 8.04/12
c = 0.67
1 cookie was $ 0.67
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Answer:
For this question there appears to be absolutely no association. The points are all over the place and there is not consistent factors at play here.
we know that
A number is an inequality solution if the number satisfies the inequality
<u>Part 1)</u> 
rewrite the inequality

The answer Part 1) is the option D 
Because
satisfies the inequality
-----> is true
<u>Part 2)</u> 
The answer Part 2) is the option A 
Because
satisfies the inequality
-----> is true
<u>Part 3)</u> 
we're going to verify every case
<u>case A)</u> For 
substitute the value of x in the inequality

------> is true
therefore
The number
is a solution
<u>case B)</u> For 
substitute the value of x in the inequality

------> is not true
therefore
The number
is not a solution
<u>case C)</u> For 
substitute the value of x in the inequality

------> is not true
therefore
The number
is not a solution
<u>case D)</u> For 
substitute the value of x in the inequality

------> is not true
therefore
The number
is not a solution
therefore
The answer Part 3) is the option A 
Answer:
We know that an isosceles triangle has 2 of its sides being equal
With R, being the midpoint of PS, we can say that
PR=RS
Noting that, with R as midpoint, we can conclude that RT is a straight line which divides angles TPR and TSR into 2 right angle triangles
Step-by-step explanation:
therefore angle at P is 45°. Angle at S also 45°
Therefore PT = TS
This is because T is 45 degrees as well as P which is also 45 degrees
angle in triangle PTS is 180 degrees
R is 90 degrees, P is 45 degrees and the whole of T is also 45 degrees(which has been split into 2)