Question 18(Multiple Choice Worth 1 points) Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x4 - 45x2 - 196

Answer:

AB = 34 and AC = 16

BC^2 = 34^2 - 16^2

BC^2 = 1,156 - 256

BC^2 = 900

BC = 30

Step-by-step explanation:

Answer:

x = 3, y = 6

Step-by-step explanation:

In the figure attached,

If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.

By this property,

[tex]\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}[/tex]

[tex]\frac{AB}{AD}=\frac{AC}{AE}[/tex]

[tex]\frac{AD+BD}{AD}=\frac{AE+EC}{AE}[/tex]

[tex]\frac{3}{2}=\frac{x+1.5}{x}[/tex]

3x = 2x + 3

3x - 2x = 3

x = 3

Similarly, [tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]

[tex]\frac{3}{2}=\frac{y}{4}[/tex]

y = [tex]\frac{3\times 4}{2}[/tex]

y = 6

Answer:

C

Step-by-step explanation:

The slope is 1.  Note how each time x increases by 1 unit, y also increases by 1 unit.

The y-intercept is (0, -1).

Answer C is correct.

Answer:

The expression is; x^2 – 4c + 4

Step-by-step explanation:

For the expression to be a perfect square, let us say the constant term should be assigned as ⇒ c;

This creates of following expression;

x^2 - 4x + c

In order to be a perfect square, the discriminant needs to be zero ;

( - 4 )^2 - 4 * ( 1 )c = 0 ,

16 – 4c = 0 ,

4c = 16 ,

c = 4 ,

Solution; The expression is, therefore; x^2 – 4c + 4

Answer:

B, C and E

Step-by-step explanation:

To get the expressions that have the same solution as the given expression;

first, we need to get the result of the given expression.

-4(6) = -4 * 6

-4(6) = -24

the next step is to test each of the given options.

A.

-4(-6) = -4 * -6

-4(-6) = 24

B.

4(-6) = 4 * -6

4(-6) = -24

C.

6(-4) = 6 * -4

6(-4) = -24

D.

-8(2) = -8 * 2

-8(2) = -16

E.

12(-2) = 12 * -2

12(-2) = -24

From options A through E,

option B,C and E have the same result as the expression in the question

Answer: B C E

Step-by-step explanation:

The conversion rate of millimetres to centimetres is 10 = 1 (Meaning 10 millimetres will equal one centimetre).

Knowing this, we can convert the centimetres to millimetres by multiplying by 10.

30 x 10 = 300

So a walking stick is 300 millimetres long.

To find the difference, we need to subtract the larger number from the smaller one.

300 - 10 = 290

Therefore the answer is 290mm.

Hope this helps! :)

Answer:

W.

Step-by-step explanation:

All you have to do is cross check each of the statements with the table.

Answer:

As the velocity is constant,

Distance covered in n hours = n × distance covered in 1 hr

Distance covered in 7 hrs = 7 × 110 = 770 miles

Answer:

$9.90

Step-by-step explanation:

Answer:

He runs 2/3 mile in 8 mins, he runs one mile in 12 mins

It will take Joseph 12minutes to run 1 mile

Speed is defined as the ratio of the distance covered to the time taken.

If Joseph runs 2/3 of a mile in 8 minutes, then;

[tex]\frac{2}{3} miles = 8minutes[/tex]

In order to calculate the time it will take Joseph to run 1 mile, we can write:

[tex]1mile=x[/tex]

Divide both expressions

[tex]\dfrac{\frac{2}{3} }{1} =\dfrac{8}{x} \\\dfrac{2}{3}=\dfrac{8}{x}[/tex]

Cross multiply

[tex]2x=3 \times 8\\2x=24\\x=\frac{24}{2} \\x=12minutes[/tex]

This shows that it will take Joseph 12minutes to run 1 mile.

Learn more here: https://brainly.com/question/23774048

Answer:

111

Step-by-step explanation:

make them into two rectangles

Answer:

63

Step-by-step explanation:

first you divide them up like that and add them up like this

5+6+5+6+8+6+8+7+5+7=63

Answer:9 yes 10 no 11 b 12 d 13 a 14c

Step-by-step explanation:

Answer:

y=1/2x-2

Step-by-step explanation:

Hope this helps!

Answer:

A= 40+.45m

Step-by-step explanation:

A= plan a

40=$40 fee

.45m= .45 per minute

Answer:

2 Answers By Expert Tutors

Consider as an example a box of length L, width W, and height H. If all linear dimension are doubled the area becomes 4 (22) times the original

Step-by-step explanation:

google

Answer:

Sum: 8w-8

Value of w: w= 1

Step-by-step explanation:

1.38 is the mean of the amount of rainfall over the course of the week

Answer:

1.4 inches (1 decimal place)

Step-by-step explanation:

To calculate the mean you get the sum of all the terms required and divide by the number of terms you summed up.

All of the terms in the table sum up to 29/3. 29/3 divided by 7 (number of days in a week) = 1.3809..., which you can round to 1.4 inches

Answer:

is it AA..

I have no idea what to do how...

The theorems that verifies the ΔDEF ≅ ΔXYZ by SAS congruency Criteria.

Congruent figures have sides that are the same length and angles that are the same measurement. In other words, congruent figures are those in which one figure superimposes another. Even when twisted or flipped, they perfectly fit together.

We have, two triangles DEF and XYZ.

Now, from the two triangle

EF = XY (Given)

DF = XZ (Given)

<EFD = < YZX (Each 90)

By SAS Congruency Rule

ΔDEF ≅ ΔXYZ

Learn more about Congruency here:

https://brainly.com/question/7888063

#SPJ2

Answer:

[tex] \boxed{(x + 6)(x - 3)} [/tex]

Step-by-step explanation:

[tex] = > {x}^{2} + 3x - 18 \\ \\ = > {x }^{2} + (6 - 3)x - 18 \\ \\ = > {x }^{2} + 6 x - 3x - 18 \\ \\ = > x(x + 6) - 3(x + 6) \\ \\ = > (x + 6)(x - 3)[/tex]

Answer:

(X-3)(x+6)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

(7,5+2,5).2,5=25

Answer:

12.5

Step-by-step explanation:

The given figure is a trapezium .

Area of Trapezium ;

[tex] \boxed{\frac{a + b}{2} h}[/tex]

given ;

Putting given value into formula

[tex] \frac{7.5 + 2.5}{2} \times 2.5[/tex]

[tex] \frac{10}{2} \times 2.5 \\ [/tex]

[tex]5 \times 2.5 \\ \\ \implies \boxed {\purple{12.5 - answer}}[/tex]

Answer:

I actually don't know I am comfused

Answer:

x = 360/7

Step-by-step explanation:

the sum of 3x and 2/4x is supposed to be 180 degrees.

1.- write it as an equation.

3x + 1/2x = 180

2.- Combine like terms.

3x + 1/2x = 7/2x

7/2x = 180

3.- divide.

180 / 7/2 = 360/7

Answer:

Step-by-step explanation:

It is mandatory (required) to use " ^ " for exponentiation:

(3x – 5)^2 = 4

Taking the square root of both sides, we get

3x - 5 = ±2, or

3x = 5 ±2, or

(a) 3x = 7 => x = 7/3, and

(b) 3x = 3, or x = 1

Answer:

C

Step-by-step explanation:

just divide 1 by 16

Answer:

(0;-4)

(-6;4)

Step-by-step explanation:

-8x - 6y - 7 = 17

-8x-6y-24=0

y=-(4x)/3-4

(3;0)

-(4*3)/3-4=8

8≠0

(-2;-1)

-(4*(-2))/3-4=-4/3

-4/3≠-1

(0;-4)

-(4*0)/3-4=-4

-4=-4

(-9;6)

-(4*(-9))/3-4=8

8≠6

(-6;4)

-(4*(-6))/3-4=4

4=4

Answer:

15

Step-by-step explanation:

8 j - k + 14

Let j = .25 and k = 1

8(.25)  -1 +14

Multiply

2 -1 +14

Then add and subtract

1 +14

15

Answer:

The answer is 15.

Step-by-step explanation:

8j - 1 + k + 14

8(0.25) - (1) + 14

2 - 1 + 14 = 15

Answer: -770, -410, 310, 670 degrees

Step-by-step explanation:

Coterminal angles are angles that are have the same sides ... they are essentially the same angle, but are, for example, rotated an extra 360 degrees.

You can add/subtract 360 degrees to check if angles are coterminal:

-770 = -50 - 360 - 360    -- YES, it is coterminal with a -50 degree angle.

-530 [tex]\neq[/tex] -50 - 360 ...      -- NO

-410 = -50 - 360       -- YES

50 [tex]\neq[/tex] -50 + 360 ...      -- NO

310 = -50 + 360     -- YES

360 [tex]\neq[/tex] -50 + 360 ...      -- NO

410 [tex]\neq[/tex] -50 + 360 ...      -- NO

670 = -50 + 360 + 360     -- YES