An iscosceles right angled triangle is shown

Answer:

The answer is 10^24kg. 0.07346.

See attachment for math work and answer.

a) The expression will be zero when x = -4 or 8

b) The trinomial equivalent of the expression is x²  - 4x  -  32

c) The trinomial equals to zero when x = 8

The given expression is (x  - 8)(x  + 4)

a) For what value of x will the expression be equal to zero

(x  - 8)(x  + 4)  =  0

This can  be split into:

x  -  8   =   0

That is,  x  = 8

x  +  4  =  0

That is,  x = -4

The expression (x  - 8)(x  + 4) equals to zero when x = -4 or x = 8

b) Write this product as an equivalent trinomial.

A trinomial is a polynomial expression with three terms

Expand (x - 8)(x + 4)

x² + 4x  - 8x - 32

x²  - 4x  -  32

c) Show that this trinomial is also equal to zero at the larger value of x from part (a)

The larger value of x from part (a) is 8

Substitute x = 8 into x²  - 4x  -  32

8² - 4(8)  -  32

=  64  -  32 - 32

=  0

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Answer:

8.6 × 10^5

Step-by-step explanation:

New Jersey 8th graders = 920,000

Rhode island 8th graders = 60,000

Difference in Rhode island 8th graders and New Jersey 8th graders population

= 920,000 - 60,000

= 860,000

Answer in scientific notation

860,000

The decimal point will move 5 places in

= 8.6 × 10^5

Sum of first 7 terms of an AP = 49.

Sum of first 17 terms = 289

the sum of first 30 term

We know that,

Sum of first n terms of an AP – S(n) = n/2 * [ 2a + (n - 1)d ]

Hence,

→ 7/2 * [ 2a + (7 - 1)d ] = 49

→ 2a + 6d = 49 * 2/7

→ 2( a + 3d ) = 14

→ a + 3d = 14/2

→ a + 3d = 7 -- equation (1)

Similarly,

→ 17/2 * [ 2a + 16d ] = 289

→ 17/2 * 2 * (a + 8d) = 289

→ a + 8d = 289 * 2/17 * 1/2

→ a + 8d = 17 -- equation (2)

Subtract equation (1) from (2).

→ a + 8d - (a + 3d) = 17 - 7

→ a + 8d - a - 3d = 10

→ 5d = 10

→ d = 10/5

→ d = 2

Substitute the value of d in equation (1).

→ a + 3 * 2 = 7

→ a = 7 - 6

→ a = 1

Now,

Sum of first 30 terms = 30/2 * [ 2(1) + (30 - 1)(2) ]

→ S(30) = 15 (2 + 58)

→ S(30) = 15 * 60

→ S(30) = 900

Therefore, the sum of first 30 terms of the given AP is 900.

I hope it will help you.

Regards.

answer refer in pic siso

Answer:

Irrational

Step-by-step explanation:

Answer:

it is d irrational

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

slope is 4/3x

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Hi there! Thank you for this!

Answer:

I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.

Step-by-step explanation:

y axs = elavation

x axs = time

Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(

Answer:

Ah Thanks so much

Step-by-step explanation:

I am so bored by the way...

Answer:

daaslkfnsdlfknsdfnsdnfsdf

Step-by-step explanation:

Answer:

$63

Step-by-step explanation:

here,

principle=$450

rate=7%

time=2yrs

intrest=?

now,

as, we know,

intrest=(p×t×r)÷100%

intrest=($450×7×2%)÷100%

intrest=$6300÷100

therefore, intrest=$63#

Interest on given principal rate of interest and time is $63.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, principal =$450, rate of interest =7% and time period =2 years.

Now, simple interest = (450×7×2)/100

= 6300/100

= $63

Therefore, interest is $63.

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Answer:

[tex]v=\frac{145}{8}[/tex]

Step-by-step explanation:

[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]

[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]

[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]

[tex]v=\frac{145}{8}[/tex]

Answer:

C. 472

Step-by-step explanation:

16x29.5=472

Answer:

(-1,2)

Step-by-step explanation:

90 degree rotation from (a,b) is (-a,b)

Answer:

24

Step-by-step explanation:

set them up as a fraction.

21/49=x/56

cross multiply: 21*56=49x

1176=49x

divide both sides by 49

x=24

Answer:

28

Step-by-step explanation:

notice that when x=21 thats 3x7=21  

then when y=49  thats 7x7  

so when y=56  that's 8x7

notice there is a patter of 7 being used?   there are probably a lot of other patterns that would also work.. but.  if your class is working on multiplying by 7 , then this is probably the right pattern.  

from the above pattern, then,

x=4x7 when y=56

x=28

Answer:

A.

Step-by-step explanation:

Answer:

length is 52 ft

perimeter is 194

Step-by-step explanation:

2340/45 = 52

2(52+45) = 194

Answer:

.

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

40 times 1% equals 4 (inverse operation)

Answer:

Slope= -5/3

Step-by-step explanation:

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

Work Shown:

t = time it takes to go from Jackie's house to her friends house

distance = rate*time

d = 30*t

This represents the distance they travel if they go 30 mph

Then when going back home, they take 6 minutes longer

6 minutes = 6/60 = 0.1 hours

So they take 0.1 hours longer meaning the t updates to t+0.1

d = r*t

d = 25*(t+0.1)

d = 25t+2.5

This represents the trip back home.

Since the distance d doesn't change, we can equate the two right hand sides and solve for t

30t = 25t+2.5

30t-25t = 2.5

5t = 2.5

t = 2.5/5

t = 0.5 hours = 30 minutes

d = 30t = 30*0.5 = 15 miles

If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.

Answer:

Your pay at the end of the these two weeks will be $1,375

Step-by-step explanation:

In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.

In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:

20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550

In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:

30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825

Then your salary at the end of these two weeks is calculated by:

Payment of the first week + Payment of the second week

$550 + $825 = $1,375

Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:

Then your salary at the end of these two weeks is calculated by:

50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375

Note that either way you get the same result.

Your pay at the end of the these two weeks will be $1,375

Answer:

2x=18

x=9

Step-by-step explanation:

So, to start you subtract 12 from 30 to get 18.

then 18 divided by x gives you 9

so X=9

Answer:

2x = 18 and x = 9

Step-by-step explanation:

i've done it before so i know its right

Answer:

whats that.............

Answer:

The equation of the line is y=-16x+7

Step-by-step explanation:

I am not totally sure if that is what you meant by the equation of the line but that is my answer. I can change it if you are more specific.

Anyways, you need to find the slope because you already know the y-intercept, 7.

Slope=rise/run between two pretty points( A point that lines up on the grid)

So you must go from the bottom point and count how ever many are separating the two points. It turned out to be 16 and since the line is going down it is a negative. You then plug the numbers into the slope intercept form and that is your answer.

Answer: -6x² + 15x + 5

Step-by-step explanation:

To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.

Step 1: f(x) = -3(2x² - 5x - 1) + 2

Step 2: Apply the distributive property

-3(2x²) + -3(-5x) + -3(-1)

-6x² + 15x + 3

Step 3: Simplify

f(x) = -6x² + 15x + 3 + 2

f(x) = -6x² + 15x + 5

Answer:

n > -5

Step-by-step explanation: