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3 years ago

11

One solution to a quadratic function, f, is given below.

2 answers:

kirill [66]3 years ago

7 0

The other solution is the conjugate of the given one, which means the sign in between the 2 "numbers" is the opposite of the one given. So our conjugate here is choice B.

Damm [24]3 years ago

5 0

Answer:

Step-by-step explanation:

Concept is that irrational and complex root of a polynomial always exist with it conjugate pair.

It means if a+ib is a root then a-ib must also be a root of the polynomial .

Now since √7 + 5i is a root then other root must be √7 - 5i

So the correct option is

B.) The other solution to function f is √7 - 5i .

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Divide x to the 1 half power divided by x to the 2 sevenths power.

juin [17]

$\frac{x^\frac{1}{2} }{x^\frac{2}{7}}$

According to the rule of exponents $\frac{a^m}{a^n} = a^{(m-n)}$ , i.e. when two terms are in division with same base , we subtract the exponents

So

$\frac{x^\frac{1}{2} }{x^\frac{2}{7}} = x^{(\frac{1}{2}) - (\frac{2}{7})}$

$=x^\frac{3}{14}$

Or

x to the 3 fourteenths power

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3 years ago

Trapezoids and kites

lisov135 [29]

QUESTION 3

The sum of the interior angles of a kite is $360\degree$ .

$\Rightarrow 36\degree +70\degree+m$ .

$\Rightarrow 106\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles of the kite are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 4

RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.

Using the Pythagoras Theorem, we obtain;

$|RH|^2=12^2+20^2$

$|RH|^2=144+400$

$|RH|^2=544$

$|RH|=\sqrt{544}$

$|RH|=4\sqrt{34}$

QUESTION 5

The given figure is an isosceles trapezium.

The base angles of an isosceles trapezium are equal.

Therefore $m$

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

$m$

$\Rightarrow m$

$\Rightarrow m$

QUESTION 7

The sum of the interior angles of a kite is $360\degree$ .

$\Rightarrow 48\degree +110\degree+m$ .

$\Rightarrow 158\degree+m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the two remaining opposite angles are congruent.

$\Rightarrow m$

$\Rightarrow m$ .

$\Rightarrow 2m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

QUESTION 8

The diagonals of the kite meet at right angles.

The length of BC can also be found using Pythagoras Theorem;

$|BC|^2=4^2+7^2$

$\Rightarrow |BC|^2=16+49$

$\Rightarrow |BC|^2=65$

$\Rightarrow |BC|=\sqrt{65}$

QUESTION 9.

The sum of the interior angles of a trapezium is $360\degree$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

But the measure of angle M and K are congruent.

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

$\Rightarrow m$ .

6 0

3 years ago

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DanielleElmas [232]

Answer:

4 4/2

Step-by-step explanation:

What you do is you have to do 8-4=4 5-1=4 6-4=2 so there for the answer is 4 4/2

6 0

3 years ago

Read 2 more answers

The 24 students in Mr. Brown’s homeroom sold 72 magazine subscriptions. The 28 students in Mrs. Garcia‘s homeroom sold 98 magazi

KATRIN_1 [288]

Mr. brown students sold 3 magazines each while Mrs. Garcia students sold 3.5 magazines each. Mrs. Garcia sold more magazines per student

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4 years ago

14x=x^2-15<br><br> find the value of x

hram777 [196]

Answer: $x=-1, 15$

Step-by-step explanation:

$x^2 -14x-15=0\\\\(x-15)(x+1)=0\\\\x=-1, 15$

5 0

2 years ago