Answer:
x = 2
Step-by-step explanation:
Since we know one root is -3, we know one factor of the equation is (x+3)
From there we can use the factor we know to factor the rest of the equation:
x^2 + x - 6 = (x+3) * ?
Since know -6 is just 3 * -2 and since 3-2 is 1,
(x+3)(x-2) = x^2 + x - 6
From there,
x - 2 = 0
x = 2
2450 is the correct answer because if you multiply 3500 x .70 then you get 2450. Hope this helped
Y=3x−9
y=3(0)-9
y=9
Now plug in y to solve for x.
y=3x−9
9=3x-9
18=3x
6=x
The x-intercept is (6,0)
Answer:
Option B is the right choice.
Step-by-step explanation:
Given:
An are CE and an inscribed angle CBE.
Measure of inscribed angle CBE = 25 °
We have to find the measure of the arc CE.
Concept:
- An inscribed angle is an angle with its vertex on the circle.
- The measure of an inscribed angle is half the measure the intercepted arc.
- Measure of inscribed angle = 1/2 × measure of intercepted arc
.
To find the measure of arc CE.
⇒ 
⇒ 
⇒ 
⇒ 
Measure of intercepted arc CE = 50 degrees.
The measure of arc CE = 50° so, option B is the right choice.
Answer:
6
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
2² + b² = 3²
4 + b² = 9
5 = b²
2.2 ≈ b
Calculate the area of the smaller triangle:
1/2(bxh)
1/2(2 x 2.2)
1/2(4.4)
2.2
Calculate the area of the bigger triangle:
<em>We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.
</em>
1/2(bxh)
1/2(2 x 3.8)
1/2(7.6)
3.8
Add both areas to find the area of the largest triangle:
3.8 + 2.2 = 6
