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3 years ago

Solve the proportion to find the value of y

Mathematics

2 answers:

mariarad [96]3 years ago

8 0

Answer:

B: 0.8

Step-by-step explanation:

Just multiply then divide

Leokris [45]3 years ago

4 0

B) y = 0.8

2/9 = 0.222222222222222

0.8/3.6 = 0.222222222222222

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Find the point at which the line x = 5 − t, y = 2 + t, z = 3t intersects the plane x − y + 4z = 13.

Nikolay [14]

The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).

According to the statement

we have to find the point which they intersect the given plane.

So, For this purpose, we know that the

The given equations is :

x = 5 − t, -(1)

y = 2 + t, -(2)

z = 3t -(3)

And the given plane is :

x − y + 4z = 13 -(4)

And, the intersection of plane point is :

Put the equations 1 and 2 and 3 in the 4th equations then

(5 − t) - (2 + t) + 4(3t) = 13

3 - 2t + 12t = 13

3 + 10t = 13

10t = 10

Then

t = 1

Put these values in 1 and 2 and 3rd equation then the value of x y z become

x = 5 − t, -(1)

x = 5 -1

x = 4

And

y = 2 + t, -(2)

y = 2 + 1

y = 3

And

z = 3t -(3)

z = 3(1)

z = 3.

The value of (x,y,z) = (4,3,3).

So, The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).

Learn more about intersection of plane here

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3 0

2 years ago

Chelsea invested %5600 at a rate of 3.6% compounded quarterly. Write a compound interest function to model the situation. Then f

grigory [225]

3.6% compounded quarterly=.036/4=0.009 per period
FV=5600(1+.009)^4y where FV=future value, and y is time, in years. So:
FV(6)=5600(1.009)^4(6)=5600(1.009)^24=$6943.46
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5 0

4 years ago

Find the equation for the circle with center (-4,-5) and passing through (4,-2)

Sholpan [36]

Answer:

(x + 4)² + (y + 5)² = 73

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 4, - 5), thus

(x - (- 4))² + (y - (- 5))² = r², that is

(x + 4)² + (y + 5)² = r²

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)

r = $\sqrt{(4+4)^2+(-2+5)^2}$

= $\sqrt{8^2+3^2}$

= $\sqrt{64+9}$ = $\sqrt{73}$ ⇒ r² = 73, thus

(x + 4)² + (y + 5)² = 73 ← equation of circle

6 0

3 years ago

Read 2 more answers

A pizza has 3 toppings with no toppings overlapping. Pepperoni tops 1/3 of the pizza and mushroom top 2/5. The rest is topped wi

Bond [772]

$\frac{1}{3} + \frac{2}{5} + x=1
$
$x= 1- \frac{5}{15} - \frac{6}{15} = \frac{15}{15} - \frac{11}{15} = \frac{4}{15}$
Answer: Sausage tops $\frac{4}{15}$ of the pizza

3 0

4 years ago

What math operation would I use to solve "3 below -5"?

tatiyna

You would use division

5 0

3 years ago