Answer:
2
Step-by-step explanation:
f(x)= 2x^5-3x^3+2x^2+1
Let x=1
f(1)= 2(1)^5-3(1)^3+2(1)^2+1
= 2*1 -3*1+2(1) +1
= 2-3+2+1
2
The sign that would make the statement true is the division sign which would then make the full expression, (3 × 7) ÷ 21 = 1.
<h3>How to find the sign?</h3>
The statement given is (3 × 7) 21 = 1. There is therefore a need to find the sign that would be between the brackets and "21" which would lead to the answer being 1.
The brackets have to be solved first according to the PEMDAS rule which calls for parenthesis being solved first.
Solving the expression in the brackets gives:
= 3 x 7
= 21
We therefore need a sign that when related to 21 would give the result, 1.
The only sign that can relate 21 to 21 such that the answer would be 1, is division:
= 21 / 21
= 1
In conclusion, the sign that would make the statement true is a division sign.
Find out more on mathematical signs at brainly.com/question/24034494
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Step-by-step explanation:
here's the solution,
in the given figure , sum of all angles formed with O measures 360°
because, it forms a complete angle
so,
=》mPOQ + mQOR + mROS + mSOT + mTOP = 360°
=》mPOQ + mQOR + mROS + mSOT + mTOP = (90° × 4)
=》mPOQ + mQOR + mROS + mSOT + mTOP = 4 × right angle
(cuz.. right angle = 90°)
Answer:
a = (-7)
Step-by-step explanation:
Firstly clear the bracket...,
-6(-2 + a) = 12 - 6a
Then substitute the simplified version in place of bracket...,
; 12 - 6a = 54
; -6a = 54 - 12
; -6a = 42...then divide both sides by (-6)
Therefore...., a = (-7)
Answer:
6) 15
7)5
8)120 degrees
9)60 degrees
10)9
Step-by-step explanation:
GHIJ is a parallelogram.
Opposite sides of a parallelogram are congruent.
3y - 1 = 2y + 1
3y - 2y = 1 + 1
y = 2
Opposite sides of a parallelogram are congruent.
4x + 3 = x + 12
4x - x = 12 - 3
3x = 9
x = 9/3
x = 3
6)GH = ?
GH = 4x + 3
GH = 4(3) + 3
= 12 + 3
= 15
therefore, GH = 15
7) HI = ?
HI = 2y + 1
= 2(2) + 1
= 4 +1
= 5
therefore, HI = 5
Opposite angles of a parallelogram are equal.
8) m(angle I) = 120 degrees...... (given)
therefore, measure of angle G = measure of angle I
therefore, m(angle G) = 120 degrees
Consecutive angles of a parallelogram are supplementary.
9) m(angle I) + m(angle J) = 180 degrees
120 + m (angle J) = 180
m(angle J) = 180 - 120
= 60 degrees.
The diagonals of a parallelogram bisect each other.
10) JK = 9 .........( given)
JK = HK
therefore, HK = 9
