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2 years ago

The sum of two numbers is 200 and the two numbers are in a ratio of 4:6. Fill in the given boxes with the numbers.

Mathematics

1 answer:

sineoko [7]2 years ago

8 0

Answer:

They are

4+6=10

200/10=20

ratio4= 20x4 = 80

ratio6= 20x6= 120

to prove it do 120+80= 200

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Find an integer value of b that makes x^2 + bx - 81 factorable

m_a_m_a [10]

x² + bx - 81

there are 2 formula that fit this equation :

>> x² - a² = (x+a)(x-a)

>> x² + 2ax² + a² = (x+a)(x+a)

because the last value of our equation is negative value therefore we have to use the first formula >> x² - a² = (x+a)(x-a)

step:

x² + bx - 81

x² + bx - 9²

because we have to follow the first formula x² - a² therefore bx = 0

x² + bx - 9²

bx = 0

b = 0

3 0

2 years ago

7. What is most likely the slope of the line graphed? A.-2 B. 0 C. 2 D. Undefined

adell [148]

Answer:

Undefined

Step-by-step explanation:

If the slope was a horizontal line, then we could say y=2, however, it is only going through the x-axis so it would be x=2, but in terms of y it is undefined.

6 0

2 years ago

F ind the volume under the paraboloid z=9(x2+y2) above the triangle on xy-plane enclosed by the lines x=0, y=2, y=x

olga nikolaevna [1]

Answer:

The answer is 48 units³

Step-by-step explanation:

If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,

$V=\int\limits^2_0 {} \, \int\limits^{x=y}_0 {z} \, dx dy\\V=\int\limits^2_0 {} \, \int\limits^{x=y}_0 {9(x^{2}+y^{2})} \, dx dy$

Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,

$V=9\int\limits^2_0 {4y^{3}/3} \, dy$

After performing the elementary y integral we obtain the desired volume as below,

$V= 48 units^{3}$

4 0

2 years ago

2<-1t line under the

oksano4ka [1.4K]

Assuming we are solving for t
2<-1t
3

5 0

2 years ago

Will give brainlesr please help im 25% blind

My name is Ann [436]

Answer:

Option D

Step-by-step explanation:

the height of the first rectangle ( 30 ) over the height of the other rectangle ( 3 ) is 30/3 and equals 10

the length of the first rectangle ( 60 ) over the length of the second rectangle ( 6 ) is 60/6 and equals 10

the ratio of the sides of both rectangles are equivalent therefore the are similar

3 0

2 years ago