Please help!

A rectangular tabletop has an area of.......

[tex]t^2+2t-99[/tex]

What are the possible dimensions of the tabletop? Use factoring.

Answers

Answer 1
Answer: t-9 and t+11

The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.

=======================================================

Explanation:

Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.

Here are all the ways to multiply to -99 using integers only:

1 and -993 and -339 and -1111 and -933 and -399 and -1

Add up each factor pair to see which sum is equal to 2.

1 + (-99) = -983 + (-33) = -309 + (-11) = -211 + (-9) = 2 is what we want33 + (-3) = 3099 + (-1) = 98

We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.

As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the  two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.

To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.


Related Questions

In the diagram below, what is the measure of angle 1?

Answers

Answer: 82 degrees

Step-by-step explanation:

15 degrees is the answer to this question

"The product of four and a
number is more than ten."

Answers

Answer:

x>5/2

Step-by-step explanation:

4x>10

x>10/4

x>5/2

ILL GIVE BRAINLIEST. plsss help asap

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Answer:

first one

Step-by-step explanation:

Answer:

It will be the first answer, Both balls will at the same rate

PLS HELP!! GIVING BRAINLIEST!! :((

Ian Uses The Rule Add 1/2 Then Multiply By 2 Starting From 0

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Answer:

1 3 7 15 31

Step-by-step explanation:

i used a calculator.       Calculator Soup® is a good website for calculating stuff

-2x + 6 greater than or equal to -4

Answers

Answer:

C

Step-by-step explanation:

-2x+6 [tex]\geq[/tex]-4

     -6   -6

-2x [tex]\geq[/tex]-10

divide both sides by -2

-2/2=-1

-10/2=-5

-5*-1=5

x[tex]\geq[/tex]5

x is greater than 5 so the number should be larger than 5 or equal to 5.

1000 + 874 + 53528 - 1026 =

Answers

Answer:

54376

is the answer .......

Help please?!?!??!?!!!?!?!?!?!?!?!?!!?!?!?

Answers

Answer:

16.7%

Step-by-step explanation:

Probability is defined by the formula: the number of desirable outcomes over the total outcomes. The total number of outcomes is the sum of all shoes that he could possibly pick:

5 + 7 + 1 + 4 + 6 + 8 + 2 + 3 = 36

And the desirable outcomes are those where he picks brown boots, which is 6 outcomes.

Using the formula for probability, we get the expression: 6/36 to represent the probability. It simplifies to 1/6 which is about 16.7%

A spherical boulder is 12 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for pi.

Answers

Answer:

904.32 ft^3

Step-by-step explanation:

Volume of a sphere = 4/3 x pi x r^3

r = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

4/3 x 3.14 x 6^3 = 904.32 ft^3

a. 96°
b. 132°
c. 137°
d. 89°

Answers

Answer:

c. 137°

Step-by-step explanation:

the perimeter of a rectangle parking lot is 322 m. if the length of the parking lot is 86 m, what is the width

Answers

Perimeter of rec. = 2 ( l + w )

Given: perimeter of rectangle = 322m, length = 86m

Required: width = ?

Solution: 322 = 2 ( 86 + w )
Divide 322 by 2 ie, 322/2 = 86 + w
Will be equal to 161 = 86 + w
Therefore Width= 161 - 86 = 75

Bob walks 8/10 of a kilometer to school each day. How many kilometers does bob walk to school in 5 days ?

Answers

Answer:

4 in 5 days

Step-by-step explanation:

Question 7 of 10
These box plots show daily low temperatures for a sample of days in two
different towns.
Degrees (F)
Which statement is the most appropriate comparison of the spreads?

Answers

Answer:

A

Step-by-step explanation:

In a box plot, interquartile range (IQR) can be used to describe the spread of any given data.

IQR = Q3 - Q1

✔️IQR for Town A:

Q3 = 40

Q1 = 20

IQR = 40 - 20 = 20°

✔️IQR for Town B:

Q3 = 30

Q1 = 20

IQR = 30 - 20 = 10°

We can conclude that the IQR for town A, 20°, is greater than the IQR for town B, 10°.

what is the value of x

Answers

Answer:

8

Step-by-step explanation:

Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.

Hope that this helps!

Answer:

I. x=8

Step-by-step explanation:

lines form 180° angles so

140 +5x= 180 ; subtract 140 from both sides

5x= 180-140; divide both sides by 5

x= 40/5 = 8

FBISD bought 12 new chairs for $28.99 each, and 8 tables for $45.50 each. What is the total price, including 8.25% sales tax.

A)$772.39
B)$711.88
C)$347.88
D)$60.51
Please hurryyyyy please

Answers

Answer:

d

Step-by-step explanation:

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24
cards, which was 20% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?

Answers

Answer:

120

Step-by-step explanation:

20 * 5 = 100 so we multiply 24 by 5 and that equals 120

I need the answers plss

Answers

Answer:

a) adjacent angles, complementary angles

b) vertical angles, congruent angles

c) supplementary angles, adjacent angles

d) supplementary angles, adjacent angles

Step-by-step explanation:

Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )

Complementary angles are angles that form a 90 degree angle  (  right angle )

Supplementary angles are angles that form a straight line

Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )

In a sale the original prices are reduced by 20%.
Calculate the original price of a truck that has a sale price of $14400.​

Answers

Answer:

17260

Step-by-step explanation:

multiply 14400 by 20%

After that add 14400 and 2880together

and you got the answer

Answer:

The original price would be $17,280

Step-by-step explanation:

14,400× 0.2= 2,880

14,400+ 2,880= 17,280

To the nearest mile, what is the total distance that he ran?
6 miles
8 miles
O 11 miles
25 miles

Answers

Answer:

where's the picture. to the nearest mile...

Step-by-step explanation:

;-;

A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting it back, then drawing a black ball? (write your answer as a simplified fraction)

Answers

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

42÷(13×6×7)=
I need help

Answers

Answer:

The answer is 1/13

Step-by-step explanation:

42÷(13×6×7)

= 42÷546

= 1/13

Answer: 7.7
Or 7.7 -2 x10 in other terms.

WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!

Answers

Answer:

C

Step-by-step explanation:

Using Pythagoras' identity in right triangle BPO

with PB = 4 ( half of AB ) and OB = 5 ( radius of circle )

OP² + 4² = 5²

OP² + 16 = 25 ( subtract 16 from both sides )

OP² = 9 ( take the square root of both sides )

OP = [tex]\sqrt{9}[/tex] = 3

!!HELP PLEASE NO LINKS!!Select the graph of y = 2 cos (4x) +1

Answers

I think the answer is A

To solve this problem, we simply need to plot the cosine graph.

Graph of Cosine

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

[tex]y = 2cos(4x) + 1[/tex]

is option A.

Comparing the asymptotes together, it reveals more information on that.

Learn more on graph of cosine here;

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There are 8 blue marbles, 3 red marbles, and 4 yellow marbles in a bag. What is the probability of selecting a purple marble on the first draw?

Answers

Answer:

0

Step-by-step explanation:

there is only blue marbles, yellow marbles, and red marbles. there are no purple marbles so you’d be unable to pull out a purple one no matter how many times you tried. so the probability would be 0

The probability of drawing A purple marble would be 0

The reason for the is because there are only blue, red and yellow marbles in the bag. There are no purple marbles.

Angles equation for geometry.

Answers

Answer:

40 degrees

Step-by-step explanation:

Since we have the diameter included in the triangle, the angle at B is 90

This is because angle at center is two times the angle at the circumference

Since we have the diameter, the angle at the center will be 180 degrees so the angle A at the circumference will be 90 degrees

Now, let us use the measure of the arc given

The angle at C is half of 100 which makes it 50

This is according to an angle arc relationship

Lastly, the sum of angles in a triangle is 180 degrees

We already have two angles and we need the last

so we have to add what we have already and subtract from 180 to get the angle we are looking for

So we have the angle as 180-(90 + 50) = 180 -140 = 40

P(A/B) = P(ANB)
P(B)
Freshmen
Sophomores
Juniors
Seniors
Boys
3
1
4
2
Girls
7
9
6
5
P(Freshman Boy)

Answers

The probability of a freshman being a boy is 3/37.

What is probability?

Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.

The total number of students is:

3 + 1 + 4 + 2 + 7 + 9 + 6 + 5 = 37

The number of freshman boys is 3. Therefore,

P(Freshman Boy) = number of freshman boys / total number of students

P(Freshman Boy) = 3/37

Hence, the probability of a freshman being a boy is 3/37.

To know more about probability visit :

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pls help me with this

Answers

Answer:

D at 8.8

im not sure brainliest please ok

Answer:

The answer is C at 8.1.

Step-by-step explanation:

To find [tex]\sqrt{66}[/tex], start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 ([tex]8^{2}[/tex]) and 81 ([tex]9^{2}[/tex]). So, the whole number part of the square root of 66 will be 8.

Now, for the decimal part, use the following formula:

(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)

Then, put in the known information, which will look like:

(66 - 64)/(81 - 64) = 2/17 = 0.117

Finally, [tex]\sqrt{66}[/tex] is 8.117, so the answer is C at 8.1.

Pls answer answer pls

Answers

Answer:

48 :)

Step-by-step explanation:

120 divided by 10 = 12

12 x 4 = 48

Answer:

yo momma

Step-by-step explanation:

ha

Why to solve this question ​

Answers

Answer:

35°, 70°, 75°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + 2x + 75 = 180

3x + 75 = 180 ( subtract 75 from both sides )

3x = 105 ( divide both sides by 3 )

x = 35

2x = 2 × 35 = 70°

The angles in the Δ are 35°, 70°, 75°

The three angles of the triangle are 75°, 70° and 35°.

Step-by-step explanation:

We know that,

Sum of angles of a triangle = 180°

⇢ 75° + 2 x + x = 180°

⇢ 3x = 180° - 75°

⇢ 3x = 105°

⇢ x = [tex] \frac{105}{3} [/tex]

⇢ x = 35°

[tex]{\boxed{\mathcal{\red{Brainly\:Star.}}}}[/tex]

I NEED IMMEDIATE HELP!! THIS IS DUE IN TOMORROW MORNING

Answers

Answer:

Rotation by 90 degrees clockwise about the point (2,2)

Step-by-step explanation:

Hope this is useful to u

Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)



HELPPPPPPPP​

Answers

Answer:

$103

Step-by-step explanation:

Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)

From the above question:

1 square foot = $3.19

32.29 square feet = x

Cross Mulitiply

x = 32.29 × $3.19

x = $103.0051

Approximately to the nearest cent = $103

Therefore, it will cost $103 to purchase the flooring panels

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