Answer:
The algebraic expression is "y - 7".
Step-by-step explanation:
"7 less" means "- 7", so you're subtracting 7 from y. You then write it as "y - 7".
(a) 
(b) 
(c) 
Solution:
To write each of the given expression in the form
:
(a) 
Using exponential rule: 


(b) 
Divide numerator and denominator by the common factor 2, we get

Using exponential rule: 


(c) 
Divide numerator and denominator by the common factor 7, we get

Using exponential rule: 


Answer:
$46.25
Step-by-step explanation:
37*1.25=46.25
Answer:
x = 90 , y = 43
Step-by-step explanation:
Since AB and AC are congruent , then Δ ABC is isosceles with base angles congruent , that is
∠ ABD = ∠ ACD = 47°
AD is the perpendicular bisector of BC , so
∠ ADB = x = 90
the sum of the 3 angles in Δ ABD = 180° , then
y = 180° - (90 + 47) = 180 - 137 = 43
Hello there!
We first want to start by setting the equation equal to 0.
We do this by adding/subtracting the costant to the right of the equal sign to both sides, like this:
2x^2+10x(+8) = (-8)(+8)
We now have 2x^2+10x+8=0
Now we find the GCF, which is 2 in this case because 2 goes into 2, 10, and 8. Now divide all terms by 2.
Now we have x^2+5x+4=0
To further factor we now need to take the last term (4) and the middle term (5) and find out what multiplies to be 4 and adds to be 5. The answer to this is 4 and 1.
Now we are left with (x+4) and (x+1). We have no leading coefficient to divide the x by, so now we set each new equation equal to 0 and solve by getting x by itself. It will look like this:
x+4=0, x+4(-4)=-4
x+1=0, x+1(-1)=-1
After factoring, your answers will be x=-4 and x=-1.
Hope this helps!