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ira [324]
3 years ago
10

40 POINTS AND BRAINLIEST!! I NEED THIS DONE ASAP

Mathematics
1 answer:
inna [77]3 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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Write a system of equations for the following situation:
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Answer: B) a + c = 10

8a + 5c = 59

Step-by-step explanation:

We know that 10 total people went, so the first equation has to be equal to 10. The total was $59, so the second equation should be set equal to $59. Now that the second equation is for cost, we must make it 8a + 5c to represent the cost of the adult and child tickets which are $8 and $5, respectively.

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1. At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices were as follow
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Sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.
Leviafan [203]

Answer:

Option D. 3.73​

Step-by-step explanation:

we know that

tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

and

sin^{2}(\alpha)+cos^{2}(\alpha)=1

step 1

Find cos(X)

we have

sin(x)=\frac{1}{2}

we know that

sin^{2}(x)+cos^{2}(x)=1

substitute

(\frac{1}{2})^{2}+cos^{2}(x)=1

cos^{2}(x)=1-\frac{1}{4}

cos^{2}(x)=\frac{3}{4}

cos(x)=\frac{\sqrt{3}}{2}

step 2

Find tan(x)

tan(x)=sin(x)/cos(x)

substitute

tan(x)=1/\sqrt{3}

step 3

Find sin(y)

we have

cos(y)=\frac{\sqrt{2}}{2}

we know that

sin^{2}(y)+cos^{2}(y)=1

substitute

sin^{2}(y)+(\frac{\sqrt{2}}{2})^{2}=1

sin^{2}(y)=1-\frac{2}{4}

sin^{2}(y)=\frac{2}{4}

sin(y)=\frac{\sqrt{2}}{2}

step 4

Find tan(y)

tan(y)=sin(y)/cos(y)

substitute

tan(y)=1

step 5      

Find tan(x+y)

tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

substitute

tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73

7 0
3 years ago
In a scale drawing of a garden, a distance of 35 feet is represented by a line segment 4 inches long. on the same drawing, what
nalin [4]

Answer:

122.5\ ft

Step-by-step explanation:

we know that

Using proportion

\frac{35}{4}\frac{ft}{in}=\frac{x}{14}\frac{ft}{in}\\ \\x=35*14/4\\ \\x=122.5\ ft

7 0
3 years ago
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