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bazaltina [42]
3 years ago
12

4x - 2y = 0 -x - 2y = -25

Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

x=5,y=10

Step-by-step explanation:

Given:

                      4x - 2y = 0        equation:1

                 -x - 2y = -25        equation:2

Terminating the equations by subtracting equation:2 from equation:1

                     4x - 2y -(-x - 2y)= 0-( -25)\\\\ 4x-2y+x+2y=25\\\\5x=25\\\\x=5

Putting 'x' in equation :1

                                4(5) - 2y = 0\\\\20-2y=0\\\\2y=20\\\\y=10

x=5,y=10

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If the basalt at the top of the ancient valley below Vulcan's Throne yields a radiometric date (K-Ar) of 15,000 years, and the l
zepelin [54]

Answer:

1.69\times 10^3feet/million year

Step-by-step explanation:

We are given that

Elevation of top of basalt in valley =4100 feet

Elevation of bottom of basalt in valley =2100 feet

Age of top of basalt in valley=15000 years

Age of bottom of basalt in valley=1.2 million years=1.2\times 10^6 years=1200000 years

We have to find the rate of basalt filling in the valley in feet per million yeas

Rate of basalt filling in the valley=\frac{Elevation\;of\;top\;of\;basalt\;in\;valley-elevation\;of\;bottom\;of\;basalt\;in\;valley}{age\;of\;bottom\;of\;basalt\;in\;valley-age\;of\;top\;of\;basalt\;in\;valley}

Rate of basalt filling in the valley=\frac{4100-2100}{1200000-15000}=\frac{2000}{1185000}=1.69\times 10^{-3} feet/year

Rate of basalt filling in the valley=1.69\times 10^{-3}\times 10^{6}=1.69\times 10^3feet/million year

6 0
4 years ago
What is the area of a triangle whose vertices are D(3, 3), E(3, −1), and F(−2, −5)?
yulyashka [42]

Answer:

10 units²

Step-by-step explanation:

6 0
3 years ago
John is selling sets of Legos and makes a 10% commission on all sales. what would his
kodGreya [7K]

Answer:

$375

Step-by-step explanation:

3750 × 10%

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3 0
3 years ago
cSuppose you are standing such that a 45-foot tree is directly between you and the sun. If you are standing 200 feet away from t
beks73 [17]

Answer:

you could stand at 5.0 ft and still be completely in the shadow of the tree

Step-by-step explanation:

From the diagram attached below;

We consider;

\overline {BC} to be the height of the tree and \overline {DE} to be the height of how tall you could be and still be completely in the shadow of the tree.

∠D = ∠B = 90°

Also;

ΔEAD = ΔBAC   (similar triangles)

Therefore, their sides will also be proportional

i.e

\dfrac{\overline {DE}}{ \overline {BC}}= \dfrac{\overline{AD}}{ \overline{AC}}

\dfrac{x}{ 45}= \dfrac{225-220}{225}

\dfrac{x}{ 45}= \dfrac{25}{225}

By cross multiply

225x = 45 × 25

x = \dfrac{45 \times 25}{225}

x = \dfrac{1125}{225}

x = 5.0 ft

Therefore, you could stand at 5.0 ft and still be completely in the shadow of the tree

3 0
3 years ago
How do you factor #8x^3+4x^2-18x-9#?
kvasek [131]
This expression is a good candidate for "factoring by grouping."  I note that the first 2 terms and the last 2 terms share a common factor, 2x+1:

8x^3 + 4x^2                 - 18x - 9
4x^2 *(2x + 1)  -9 (2x+1)

This can be re-written as (2x+1)(4x2-9)

The latter factor is also easily factorable:

(2x+1)(2x-3)(2x+3)  (answer)
6 0
4 years ago
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