factorise 2d^2-98 completely​

Answers

Answer 1

Answer:

Hello,

2 (d + 7) (d - 7)

Step-by-step explanation:

2 d² - 98 = 2 (d² - 49) = 2 (d² - 7²)

a² - b² = (a + b) (a - b)

2 (d² - 7²) = 2 (d + 7) (d - 7)

Answer 2

2(d^2-49)


2(d-7) x (d+7)



Related Questions

PLEASEEEEE HELPP !!!!!
A lake near Susan's house is predicted to lose water every
day because of a drought. The table shows the estimated
water depth in feet, y, after x days of drought.

Answers

Answer:

y = -0.5x + 100

Step-by-step explanation:

Im not really sure what i was supposed to answer but i hope it helped.

Answer:

A.       y = −0.5x + 100  

Step-by-step explanation:

Lee watches tv for 4 hours per day. During that time , the tv consumes 200 watts per hour. electricity costs (15 cents)/( 1 kilowatt-hour). How much does lee’s tv cost to operate for a month of 30 days?

Answers

Answer: $3.6

Step-by-step explanation:

Hi, to answer this question, first we have to calculate watt hours per day:

200 wph x 4 hours = 800 watt hours

Now, we have to convert the watt-hours to kilowatt hours:

800 wh /1000 =0.8 kwh

Since he watches TV 30 days per month:

0.8 kw x 30 days = 24 kwh

Finally we have to multiply that result by the price per kilowatt hour (15 cents)

24 kwh x 15 cents = 360 cents

Converting to dollars:

360/ 100 = $3.6

Lee’s TV cost 3.6 dollars to operate for a month of 30 days


Max pays his rent for $300 on April 28th.
Max mows a different neighbor's lawn on April 29th and they pay him $15.
Max fills up his tank at a gas station on April 30th for $29.80.
Max buys a snack in the gas station for $4.57 the same day.

How much money does Max have on April 30th after he buys the snack?

Answers

Answer: −319.37

Explanation: -300 + 15 - 29.80 - 4.57

Find the value of x.

Answers

Answer:

x=8

Step-by-step explanation:

5x+8

5x8=40

x=40

Answer:

x = 25.6

Step-by-step explanation:

1. Both angles towards the bottom equal 48 degrees, so the angle on the left (already shown) and across on the right equal 48. Add/multiply both of them

        48 * 2 = 96

Now, like triangles, figures with 4 sides add up to a certain number of degree. Four sided figures or quadrilaterals (the ”fancy” math word for it) add up to 360 degrees.

2. Adding up to 360 degrees means that all four angles have to be evenly split, you already know that the corners are 48 degrees, the bottom corners, you don’t know yet, therefore, we subtract 360 by 96 and divide the difference.

360 - 96 = 264

264/2 = 132

3. From the explanation above, you now know that the bottom corners will equal 132 degrees, therefore you will set the equation to be equal to 132 degrees.

5x + 8 = 132

5x = 128

x = 25.6

The answer is x = 25.6, I hope this explained everything, there are some theorems which make remembering these steps a lot easier, and alternative approaches you could have taken, but this is my approach.


If you take out a loan that costs $561 60 over eight years at an interest rate of 9% how much was the loan for?

Answers

Answer:

The loan was $28184.81

Step-by-step explanation:

Let the loan amount be x

Rate of interest on Loan = 9%

Time = 8 years

Amount of loan over 8 years = $56160

Formula : [tex]A=P(1+r)^t[/tex]

Where A = Amount =56160

P = Principal = x

r = rate of interest = 9% = 0.09

t = time = 8 years

Substitute the values in the formula :

So,[tex]56160=x(1+0.09)^8[/tex]

[tex]\frac{56160}{(1+0.09)^8}=x[/tex]

$28184.81=x

Hence The loan was $28184.81

Financial goal is to purchase a house. To make Marcel’s financial goal of purchasing a house a specific goal, he can . Next, Marcel can make his goal timely by . Lastly, Marcel can make his financial goal measurable by each month.

Answers

Answer:

Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can FOCUS ON SAVING FOR A DOWN PAYMENT. Next, Marcel can make his goal timely by GIVING HIMSELF A DEADLINE. Lastly, Marcel can make his financial goal measurable by TRACKING THE AMOUNT OF MONEY HE SAVES each month.

Is (1, -2) a solution of y> -6x – 3?
Choose 1 answer:
Yes
No

Answers

Answer:

Yes

Step-by-step explanation:

(1, -2)

y > -6x – 3

-2 > -6(1) - 3

-2 > -6 - 3

-2 > -9 Yes

Jack ran 13.5 miles in 1.5 hours. What was his speed in miles per minute?

Answers

Answer:

9

Step-by-step explanation:

13.5 / 1.5 = 9

Answer:

[tex] \boxed{Speed = 0.15 \: miles \: per \: minute} [/tex]

Given:

Distance travelled = 13.5 miles

Time taken = 1.5 hours = 1.5 × 60 = 90 minutes

Step-by-step explanation:

[tex]Speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13.5}{90} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.15 \: miles \: per \: minute[/tex]

Factor this expression.
4x-12
O A. 4(x-4)
OB. 4(x-6)
O C. 4(x-3)
O D. 4(x-8)​

Answers

Answer:

C. 4(x-3)

Step-by-step explanation:

Simplify.

2(m + 11)

2m + 11
2m + 22
24m
22m

Answers

Answer:

You distribute the 2 to the m=2m

Then you distribute the 2 to the 11 which gives you 22

ANSWER: 2m+22

Betty spent 12 minutes drying her hair and 16 minutes curling her hair. How much time did Betty spend drying and curling her hair combined?

Answers

Answer:

28 min

Step-by-step explanation:

The word combined signals to addition.

if we are adding 12+16, add the ones place first and you will get 8

There are 2 tens in the tens place

1+1=2

Put them together and it is 28 min

Hope this helped :)

Answer:

28

Step-by-step explanation:

because 12 + 16 = 28

Which inequality will have a shaded area below the boundary line?

Answers

Answer:

When you change the inequality as the formula of y>ax+b, it is over the boundary line. While the formula is y<ax+b, it is below the boundary line. So we can get the answer is D.

Step-by-step explanation:

math question screen shot down below

Answers

Answer:

The correct answer is A, Point P

Step-by-step explanation:

since the additive inverse of 2 is -2 because -2 + 2 = 0 the correct choice must be choice A, Point P.

The correct answer is A

math question down below

Answers

Answer:

whats the question i dont see the link

Step-by-step explanation:

It would be either 66 or 48 because the shadow of the building is longer than the actual length of the real building and 106 and 96 are greater than 72

3) A box of chocolates contains four milk
chocolates and four dark chocolates. You
randomly pick a chocolate and eat it.
Then you randomly pick another piece.
The first piece is milk chocolate and the
second piece is dark chocolate.
Are the events independent or dependent?
What is the probability?

Answers

Answer:

dependent and 2/7

Step-by-step explanation:

dependent because you didn't replace it.

1/2 times 4/7 which is 4/14 which equals to 2/7

Choose the function whose graph is given below.
Y = csc x
Y= tan x
Y= sec x
Y = cot x

Answers

The given graph shown in the image is of function y = cotx. Option D is correct.

Given that,
To determine the function whose curve is plotted in the graph.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.

Thus, the given graph shown in the image is y = cotx. Option D is correct.


Learn more about graphs here:

brainly.com/question/16608196

#SPJ2

Given: PK and PE tangents
m∠KPE = 60°,
2KP = PE + 1
Find: EK

Answers

Answer:

EK = 1.

Step-by-step explanation:

Here we have KP = PE (tangents from outside the circle)

Therefore, 2KP = PE + 1 = KP + 1

Hence, 2KP - KP = 1 or KP = 1 = PE

Since KE is the base of triangle KPE, where  ∡ KPE = 60, and KP = PE, we have an isosceles triangle such that ∡PKE = ∡PEK

Hence, in ΔKPE, ∡KPE + ∡PKE + ∡PEK  = 180

Therefore, 60° + ∡PKE + ∡PEK  = 180

Hence, ∡PKE + ∡PEK  = 180° - 60° = 120°

Because ∡PKE = ∡PEK, (base angles of isosceles triangle), we have;

∡PKE + ∡PEK = 2·∡PEK = 120° which gives

∡PEK = 60° = ∡PKE

Therefore, ∡KPE = ∡PEK = ∡PKE = 60°

Hence, ΔKPE is an equilateral triangle and KP = PE = EK = 1

EK = 1.

Is this SAS or Not SAS?

Answers

SAS


Both triangles angles and sides are congruent

Answer:

SAS

Step-by-step explanation:

How many outcomes are in the sample space of flipping a coin in spinning a spinner with sections labeled 1-4

Answers

Answer:

8 outcomes

Step-by-step explanation:

A coin has two possible outcomes: heads or tails.

The spinner has four possible outcomes: 1, 2, 3 or 4.

If we combine then, the number of outcomes will be the product of their number of outcomes:

2 * 4 = 8

So we will have a total of 8 outcomes:

heads, 1 / heads, 2 / heads, 3 / heads, 4 /

tails, 1 / tails, 2 / tails, 3 / tails, 4

The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.

Answer the following questions about the equation modeling the volume of the shipping box.

Question 1

Solve the equation that models the volume of the shipping box, 8(n + 2)(n + 4) = 1,144. If you get two solutions, are they both reasonable?

Answers

Answer:

see below

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

FOIL

8(n^2 +2n+4n+8) = 1144

Divide each side by 8

8/8(n^2 +2n+4n+8) = 1144/8

(n^2 +2n+4n+8) = 143

Combine like terms

n^2 +6n+8 = 143

Subtract 143 from each side

n^2 +6n+8 -143= 0

Combine like terms

n^2 +6n -135 =0

Factor

What two terms multiply to -135 and add to 6

-9*15 =-135

-9+15 = 6

(n-9) (n+15) =0

Using the zero product property

n-9 =0    n+15=0

n = 9   n=-15

The length cannot be negative so n = -15 cannot be  a solution

n =9

Answer:

n = 9

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

(n + 2)(n + 4) = 143

n² + 2n + 4n + 8 = 143

n² + 6n - 135 = 0

n² + 15n - 9n - 135 = 0

n(n + 15) - 9(n + 15) = 0

(n - 9)(n + 15) = 0

n = 9, -15

since n is a length, it can not be negative

Therefore the only solution is n = 9

Can i get some help ‍♂️

Answers

Answer:

[tex]AC=13.5[/tex]

Step-by-step explanation:

Use the Law of Sines as follows:

[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]

Insert the values (use the steps from the last problem):

[tex]\frac{sin25}{14} =\frac{sin24}{b}[/tex]

Isolate b. Multiply both sides by b:

[tex]b*(\frac{sin25}{14} )=b*(\frac{sin24}{b})\\\\b*\frac{sin25}{14}=sin24[/tex]

Multiply both sides by 14:

[tex]14*(b*\frac{sin25}{14})=14*(sin24)\\\\b*sin25=14*sin24[/tex]

Isolate b. Divide both sides by sin 25:

[tex]\frac{b*sin25}{sin25} =\frac{14*sin24}{ysin25} \\\\b=\frac{14*sin24}{sin25}[/tex]

Insert the equation into a calculator and round to the nearest tenth:

[tex]b=13.5[/tex]

The length of AC is 13.5 units.

:Done

Which will result in a perfect square trinomial?

Answers

Answer:

is there a picture?

Step-by-step explanation:

The parabola opens to the right. The focus is given as

F (p,0) and directrix x = -p. The distance between the

focus and point P is equal to the distance between the

directrex and point P. Continue to simplify the equation to

solve for y2. THE ANSWER IS 4px!! :)

Answers

Answer:

Step-by-step explanation:

We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by

[tex](y-k)^2 = 4p(x-h)[/tex]

Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that

[tex]y^2 = 4px[/tex]

Answer:

y^2 = 4px

Step-by-step explanation:

edg 2021

Use DeMoivre’s Theorem to find (3cis(pi/6))^3.
a.) (27sqrt3)/2 +27/2 i
b.) (9sqrt3)/2 +9/2 i
c.) 27i
d.) 9i

Answers

Answer:

C. 27i

Step-by-step explanation:

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ =  {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ =  rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))^3

= {3(cosπ/6 + isinπ/6)}^3

Using  DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

=  3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

The right answer is 27i

Find , to the nearest tenth of a foot , the height of the tree represented in the accompanying diagram.

Answers

Answer:

Height of tree =  28.2 ft (Approx)

Step-by-step explanation:

Given:

Angle from ground to top of the tree = 62°

Distance from a point to base of tree = 15 ft

Height of tree = [tex]X[/tex]

Find:

Height of tree = [tex]X[/tex]

Computation:

Using trigonometric application:

[tex]Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft[/tex]

Height of tree =  28.2 ft (Approx)

plz halp meh!!!!!!!​

Answers

Answer:

M=25-3D

Step-by-step explanation:

Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.

Pythagorean Theorem: Jason only has room for a TV that is less than 30^ prime prime wide.
Find the width of the TV

Answers

Answer:

Step-by-step explanation:

length² + width² = diagonal²

24² + width² = 40²

576 + width² = 1600

width² = 1600 - 576

width² = 1024

width = √1024 = √32*32

width = 32"

Width of the TV is more than 30"

Answer:

32

Step-by-step explanation:

First off, Bruh, 30" is not prime prime. That's 30 inches.

The base of the TV is 32. This is because A^2+B^2=C^2. 24 is A, 40 is C, and the base is B.

So that means that is we take 24^2 and the base^2, we should get 40^2. 40^2 is 1600. 24 squared is 576. So if we take the base and square it and add 576, we should get 1600. Or we could just take 1600 and subtract 576.

1600-576=1024.

So now, the root of 1024 is the base. Which is 32. Hope that helped.

A man wants to hike two trails. The length of one trail is 7.709 km. The length of the other trail is 9.0309 km. What is the total length of the two​ trails?

Answers

Answer:

Its addition I think so the answer would we 16.7399km for both trials

Step-by-step explanation:

Find the volume of the cone

Answers

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

Answer: 37.6991118

Step-by-step explanation:

Which shows how the distributive property can be used to evaluate 7x8 4/5?

Answers

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

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