Answer:
True
m∠T = 40.4°
Step-by-step explanation:
We know all the sides of the triangle but we do not know any of its angles.
To find out if the angle T = 40.4 ° we use the cosine theorem.
According to the cosine theorem:
Where is the angle between a and b.
In this case:
Then we clear α from the formula and verify that it is equal to 40.4 °
x > 1 is the required solution of the given inequality - 3x + 7 < 4. This can be obtained by solving the inequality the same way as we solve an algebraic equation.
<h3>Solve the inequality:</h3>
The inequality can be solved as the same way as we solve an algebraic equation.
- Combine the terms with variables to one side and constants to other side.
- To multiply the whole inequality with negative terms we reverse the sign of the inequality.
Here in the question the inequality to be solved is given:
- 3x + 7 < 4
By subtracting 7 from both sides of the inequality we get,
⇒ - 3x + 7 - 7 < 4 - 7
⇒ - 3x < - 3
To make the side of the inequality with variable x positive we multiply the whole equation with - 1, then we have to reverse the sign of inequality since we have to multiply the whole inequality with a negative term,
we get,
⇒ 3 x > 3
Now finally by dividing the whole inequality by 3 we get,
⇒ x > 1
The number line representation can be done by marking values from 1 to numbers greater than 1.
Hence x > 1 is the required solution of the given inequality - 3x + 7 < 4.
Learn more about inequality here:
brainly.com/question/20383699
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X intercepts are where the y value is 0. So, set y=0 and solve
0=x^2-9x+18
0=(x-6)(x-3)
x=6,3
The x intercepts are (6,0) and (3,0)
if you want to check, try these (x, y) pairs in the original equation.
4. positive. 5.zero. 6.undefined. 7. negative
Answer: well, the answer can really be any two numbers, as long as y is one more than x. EXAMPLE: 16 = 15 + 1, 7 = 6 + 1, -54 = -55 + 1, etc