Answer:
The value of k is -11
Step-by-step explanation:
If (x+2) is a factor of x3 − 6x2 + kx + 10:
Then,
f(x)=x3 − 6x2 + kx + 10
f(-2)=0
f(-2)=(-2)³-6(-2)²+k(-2)+10=0
f(-2)= -8-6(4)-2k+10=0
f(-2)= -8-24-2k+10=0
Solve the like terms:
f(-2)=-2k-22=0
f(-2)=-2k=0+22
-2k=22
k=22/-2
k=-11
Hence the value of k is -11....
<span>Every point went up 4 units and left 3 units.
</span><span>Point X on the triangle moved up 4 and left 3.
That formed a right triangle with legs 4 and 3.
The distance point X moved to point X', d, is the hypotenuse of the right triangle.
</span><span>Using the Pythagoras Theorem
</span><span><span>3^2</span>+<span>4^2</span>=<span>d^2
d = 5
</span></span>
Answer:
step 1
Step-by-step explanation:
8÷2+(3x3-2)
8÷2+(9-2)
8÷2+(7)
4+7
=11
The property of each given rational number operation are respectively; Commutative Property; Closure Property; Associative Property; Closure Property; Distributive Property
<h3>What is the property of the rational number?</h3>
The main properties of rational numbers are:
a) The property used here is commutative property which says that;
a + b = b + a.
This tallies with the operation used on the rational numbers.
b) The property used here is called Closure Property. This is because for two rational numbers say a and b, the results of addition, subtraction and multiplication operations gives a rational number.
c) The property used here is called associative property because it states that; a * (b * c) = (a * b) * c.
d) The property used here is called Closure Property. This is because for two rational numbers say a and b, the results of addition, subtraction and multiplication operations gives a rational number.
e) The property used here is called distributive property because it states that; a * (b * c) = (ab * ac)
Read more about Properties of rational numbers at; brainly.com/question/12088221
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