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ira [324]
4 years ago
10

40 POINTS AND BRAINLIEST!! I NEED THIS DONE ASAP

Mathematics
1 answer:
inna [77]4 years ago
8 0

(a) Answer: One solution.

Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."

(b)  Answer: Infinitely many solutions.

Explanation:

2x + 3y = 5.5

4x + 6y = 11   | divide by 2

-->

2x + 3y = 5.5

2x + 3y = 5.5

--> equations are identical.

2x + 3y = 2x + 3y

so any (x,y) will satisfy this equation. This means infinitely many solutions.

(c) Answer: One solution

Explanation:

Continuing the two lines it becomes obvious they will cross at one point (the solution)

(d) Answer: No solution

Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.


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A diagonal of a cube measures
Gennadij [26K]

Answer: 7cm

Step-by-step explanation:

Use pythagorean theorum:

Variables:

Let the edge = A

Face diagonal (F) = 10cm

Inner diagonal (I) = sqrt(150) cm

A^2 = I^2 - F^2

A^2 = [sqrt(150)]^2 - 10^2

A^2 = 150 - 100

A^2 = 50

A = sqrt(50)

A = 7.0710678 cm

A = 7cm (to the nearest tenth)

so, length of an edge = 7cm

4 0
2 years ago
The temperature, T, of a given mass of gas varies inversely with its Volume,V. The temperature of 98 cm ³ of a certain gas is 28
Naily [24]

Answer:

T₂ = 421.4 K

Step-by-step explanation:

The temperature, T, of a given mass of gas varies inversely with its Volume,V.

T\propto \dfrac{1}{V}\\\\V_1T_1=V_2T_2

We have,

V₁ = 98 cm³, T₁ = 28° C = (28+273) K = 301 K

V₂ = 70 cm₃

We need to find the new temperature of the gas. Using the above relation to find T₂.

T_2=\dfrac{V_1T_1}{V_2}\\\\T_2=\dfrac{98\times 301}{70}\\\\T_2=421.4\ K

Hence, the required temperature of the gas is 421.4 K.

4 0
3 years ago
PLEASE I NEED HELP!! what are two ways that you can tell that two ratios form a proportion? i really need to pass this test to g
ioda

Answer:

A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

Step-by-step explanation:

6 0
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Answer:

Step-by-step explanation:

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What sum of money lent out at 12 percent p.a. simple interest would produce 9000 as interest in 2 years​
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