does the equation have roots? if yes, find them.

x^2=32

Answers

Answer 1

Answer:

[tex]x=\pm 4\sqrt2[/tex]

Step-by-step explanation:

Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)

Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)

[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]


Related Questions

How many solutions does the following equation have?
9z-6+7z=16z-69z−6+7z=16z−69, z, minus, 6, plus, 7, z, equals, 16, z, minus, 6
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
No solutions

(Choice B)
B
Exactly one solution

(Choice C)
C
Infinitely many solutions

Answers

Answer:

Choice A

Step-by-step explanation:

Hey there!

I got the answer on the quiz right for this so you should be good now

How would you write 262 × 3 in addition form?
600 + 18 + 6
600 + 180 + 6
618 + 6
600 + 180 + 6 × 3

Answers

Answer:

262x3=768 so you need to find which answer equals 786 in addition form.

option a is equal to 624

option b is equal to 786

option c is equal to 624

option d is equal to 2358

your answer would be option b.

Step-by-step explanation:

hope this helps


I need help asap!!!!
What is the slope of the line on the graph below?
2 IV
-2 -1
1
2
3
4
5
6.
7
8
х
-2
4
45
-6
-7
48
1

Answers

Answer:

Slope is 1/3

Step-by-step explanation:

This is because the line is positive (moving upwards), and it moves up 1 unit and to the right 3 units. That means if you write it in the form of rise/run, where rise is the up or down movement and run is the left or right movement, 1 will be on top and 3 will be at the bottom.

Bonus: The line is y = 1/3x -5 (where 1/3 is slope and -5 is the y-intercept).

Hope this helps :)

f(x) = x2 – 2x + 3; f(x) = -x + 5


(2, [?]); ([ ], [ ])

Answers

Answer:

your answer is, -x+5

Step-by-step explanation:

(PLEASE HELP, THIS IS DUE TONIGHT!!!!) 2. If triangle ABC is congruent to triangle DEF by SAS, AB=DE, information that shows SAS?

3. In quadrilateral ABCD, AB and CD are parallel and congruent, BC and DA are parallel and congruent, and AC and BD are congruent. What type of figure is this and explain why you chose this figure?

Answers

Answer:

One pair of opposite sides are parallel and congruent. From the figure, one pair of opposite sides has the same measure and are parallel.

help with this question

Answers

Answer:

B

Step-by-step explanation:

It would be B! feel free to mark me brainlist if i get it right!

Solve the simultaneous equations
x + y = – 6
-x + 2y = 15

Answers

Answer:

x = -9, y = 3

Step-by-step explanation:

I hope it helps!

15.
(05.04 MC)

Estimate and solve 4,298 ÷ 56 = ________. (1 point)
76 r 42
76 r 8
78 r 42
82 r 8 pls help asap!

Answers

Answer:

82 r 8

Step-by-step explanation:

i took the flvs test and its right!

x/-4 - 4 = -13 How do you solve for x? I am really struggling on this someone please help​

Answers

Answer:

x/-4=-13+4

x/-4=9

x=(9)(-4)

x=-36

Alex was thinking of a number. Alex doubles it and adds 0.9 to get an answer of 21.2. Form an equation with x from the information.

Answers

Answer:

2x + 0.9 = 21.2

Step-by-step explanation:

Let x be the number

The number was doubled so it should be 2x, then add 0.9 equals to 21.2

Answer:  2x + 0.9 = 21.2

and x = 10.15

Step-by-step explanation:

Write an ordered pair for the point in
Quadrant IV that is 4 units away from
point S(-1.5, -2.5) on the coordinate
plane.

Answers

If a point in Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)

If we have a coordinate point (x, y) in quadrant 4, if the coordinate is 4 units away, the resulting coordinate will be expressed as (x+4, y - 4)

Given the point S(-1.5, -2.5) on the coordinate  the plane, if a point in  Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)

Learn more here: https://brainly.com/question/2565050

A lava lamp is an example of which type of heat transfer?
A. Solar Energy
B. Radiation
C. Conduction
D. Convection

Answers

Answer:

C

Brainlest

Step-by-step explanation:

✨D. ✨



We did this in 6th grade. The energy changes the density of the wax as it heats up; the molecules expand out from each other, causing the wax to become liquid-like blobs. By convection, the heat moves the liquid-like wax blobs up. By radiation, the heat energy moves from the glass and out in electromagnetic waves. Lava Lamp Model of Convection As a substance gains heat energy (in the case of the lava lamp, heat is transferred from the hot light bulb to the lava), it becomes less dense than the surrounding liquid ), causing the substance to rise.

Additionally, what type of energy does a lava lamp use? Energy starts from the electricity flow, when you plug in a lava lamp. The energy becomes thermal energy to produce heat from the light at the bottom of the lava lamp. The thermal energy from the light is transferred to the lava and uses the thermal energy to warm up the lava lamp.

Conduction is the transfer of heat through direct contact (in this case, metal coil contact with the "lava" at the bottom of the lava lamp). Convection is the transfer of heat through movement such those in a flowing medium (such as liquids or gases, or in this case as the "lava" rises in a lava lamp).

How convection works in the mantle?

Mantle convection is the very slow creeping motion of Earth's solid silicate mantle caused by convection currents carrying heat from the interior to the planet's surface. This hot added material cools down by conduction and convection of heat.

Check

Determine the equation for the given line in

slope-intercept form.

y

4.

2

X

O y=-x-1

O y = *x+1

O y = x + 1

Oy=-x-1

-6

-4

-2

2

4

6

-2

Answers

Answer:

Step-by-step explanation:

1-4, determine the slope of the line passing through the points whose ... x. +b. Write an equation in slope-intercept form for each line. y=m. hope it helps

At the sewing store, Brittany bought a bag of mixed buttons. The bag included 30 buttons, of
which 10% were large. How many large buttons did Brittany get?

Answers

Answer:

3 large buttons

Step-by-step explanation:

Multiply 30 by .10 to get 3 large buttons

7. Convert the following. (5 marks) a) 10,000 cm² to m²?​

Answers

Answer:

100m^2

Step-by-step explanation:

100 cm in a meter so 10000/100=100

Answer:

10,000 cm^2 = 1m^2

Step-by-step explanation:

100 cm = 1 m

(100cm)*(100cm) = 1 m^2

10,000 cm^2 = 1m^2

What is p squared in math?

Answers

it should be the variable to be solved, so I don’t understand the specific situation? maybe you can elaborate?

would this be A? Im not too sure about this.

Answers

Answer:

You're correct

Step-by-step explanation:

Basically, just add the answers with the given 67° until you get 180°

Yup it would be A :)

please solve for x. possible answers A. 3 B. 10 C. 28

Answers

Answer:

The answer is 65.

Maybe there is another option that gives 65?

Step-by-step explanation:

a²+b²=c²

a=33

b=56

33²+56²=c²

1089+3136=c²

4225=c²

√4225 = c

65=c

I'M CONFUSED can anyone explain how to solve/do this ? ​

Answers

Answer:

The pantograph is spring-loaded and pushes a contact shoe up against the underside of the contact wire to draw the current needed to run the train.    As the train moves, the contact shoe slides along the wire and can set up standing waves in the wires which break the contact and degrade current collection.

Step-by-step explanation:

Which is NOT a function?

A. y = x + 3^2
B. x + y = 3^2
C. x + 3 = y^2
D. y = x^2 - 3

Answers

Answer:

All are functions

Step-by-step explanation:

A.  y = x + 9  A graph of a line. There are no x-values that are the same on the graph. The graph passes the vertical line test.

B.    x + y = 9

       y = -x + 9   A graph of a line.  There are no x values that are the same number on the graph.  The graph passes the vertical line test

C.  x + 3 = y²

   [tex]\sqrt{x + 3} = y[/tex]  The graph passes the vertical line test. On the graph, there are no x-values that are the same number.

D.   y = x² - 3   The graph is a parabola. The graph passes the vertical line test (there are no x- values are the same number on the graph).

PLSSSSSSSSS I WILI WILL GIVE BRAINLIEST PLSSSSSSSSSSS
The area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?
JUST TELL ME HOW TO FIND THE ANSWER

Answers

Answer:

Divide 3/4 by 3/5 to get 1 1/4.

Step-by-step explanation:

To find area, you multiply the length by the width. However, they gave you the area and the width. Therefore, you divide the width by the area (I think).

3/4 divided by 3/5 =  1 1/4

The length is 1 1/4.

The table shows the approximate height of a football after it is kicked. Tell whether the rates of change for successive time intervals are constant or variable.​

Answers

Answer:

36, 14, -12

variable

Step-by-step explanation:

1st Rate of change is 18 - 0 / 0.5 - 0 = 18/0.5 = 36

2nd rate of change is 32 - 18 / 1.5 -0.5 = 14 / 1 = 14

3rd rate of change is 26 - 32 / 2 - 1.5 = -6/0.5 = -12

so the rates of change are variable

Suppose you are given a $1000 graduation gift from your grandparents at age 20. You consult and advisor and decide to invest this money for retirement over the next 45 years in an account that pays 8% interest compounded continuously.What will be the value of this account when you retire in 45 years?

Answers

Answer: divide and add

Step-by-step explanation:

Which expression tells how much greater the temperature change was on Friday than on Saturday?

Answers

Option B

Temperature change on Friday=81-72Temperature change on Saturday=76-69

Total difference

[tex]\\ \rm\Rrightarrow (81-72)-(76-69)[/tex]

The correct expression is (81 - 72) - (76 - 69).

Option 2 is correct.

What is Arithmetic?

The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

The high and low temperature for Friday and Saturday is given in the table.

Temperature change = High Temperature - Low Temperature

To find the expression which tells how much greater the temperature change was on Friday than on Saturday:

= Temperature change on Friday - Temperature change on Saturday

= (81 - 72) - (76 - 69)

Hence, the correct expression is (81 - 72) - (76 - 69)

To learn more about arithmetic, click:

brainly.com/question/23848329

#SPJ2

PLZ HELP ME with this hw

Answers

C because from the eqn :AB=AD=DC=BC so it is a parallelogram or a rhombus

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2

Answers

Answer:

y+5= -2/3 (x-4)

I used Desmos

Find the average rate of change of k(x) = 3x between x = 4 and x = 4 + h, where h 0.
Simplify your answer. Your answer may be a number or an expression in terms of h.

Answers

Answer:

Step-by-step explanation:

8

The average rate of change of the function on [0,4] is 8.

4) Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property. 18 + 42​

Answers

Answer:

GCF = 6, Sum = 60.

Step-by-step explanation:

Substitute 6 into our distribution equation:

6(3) + 6(7) = (18 + 42) = 60

Check:

6(3)+6(7) = 60.

(This is an easier way to find the GCF, by substitution)

Checking Continued:

18: 1, 2, 3, 6, 9, 18

42: 1, 2, 3, 6, 7, 14, 21, 42

6 is the GCF.


Select the true statement about triangle ABC.

O A. sin A = cos B
O B. sin A = tan c
C. sin A= sin C
OD. sin A = cos C

Answers

Answer:

A=cos C

Step-by-step explanation:

mass–energy equivalence formulpa E

What is the measure of angle 1 in the diagram 42 30 1 2

Answers

Answer:

The answer is no doubt about it

it’s 30!


it’s the middle number
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