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pashok25 [27]
1 year ago
11

A point F (-2, 5) is rotated anticlockwise through 90°. Find the new coordinates of F.

Mathematics
1 answer:
Tatiana [17]1 year ago
3 0
Point f is now (-5, -2)
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Find the slope if it exits 2x-5y=6
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In standard form, slope is always the negative of the x coefficient over the y coefficient.

If you dont want to have that memorized, you can use algebra to get the equation of the line into slope-intercept form (y=mx+b)

Set it equal to y

2x - 5y = 6
2x = 5y + 6
2x - 6 = 5y
(2/5)x - 6/5 = y
Now it is in slope intercept form. In slope intercept form, the coefficient multiplying with x is the slope of the line. Therefore, the slope equals 2/5.
6 0
3 years ago
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Cara has $25 to buy dry pet food a pound of dog food costs $2 and treats are $1 apiece if she buys 9 pounds of food the greatest
zzz [600]

Cost of each pound of dog food = $2 .

Total cost of 9 pounds of dog food = 9 * 2 = $18.

Let us assume number of treats she can buy = t.

Cost of each treat = $1.

Cost of t number of treats = 1*t = 1t .

Total money Cara has = $25.

We can setup an inequality as,

Total cost of dog food + total cost of t number of treats ≤ 25.

18 + 1t ≤ 25.

Subtracting 18 from both sides, we get

18 + 1t -18  ≤ 25-18.

1t ≤ 7 or t ≤ 7.

So, she can purchase 7 or less treats.

5 0
2 years ago
What is the solution to this inequality?
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7 0
2 years ago
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
kykrilka [37]

Answer:

1/6

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6 0
2 years ago
The ratio of the measures of the three angles in a tangle 3107. Find the measures of the angles and write them in size order,
N76 [4]

Answer:

27, 90 and 63

Step-by-step explanation:

Given

Ratio of triangle sides

Ratio = 3 : 10 : 7

Required:

The length of each side

Triangles in a triangle add up to 180.

The side with ratio 3 is:

S_1 = \frac{3}{3 + 10 + 7} *180

S_1 = \frac{3 *180}{20}

S_1 = \frac{540}{20}

S_1 = 27

The side with ratio 10 is:

S_2 = \frac{10}{3 + 10 + 7} *180

S_2 = \frac{10 *180}{20}

S_2 = \frac{1800}{20}

S_2 = 90

Lastly:

The side with 7 as its ratio

S_3 = \frac{7}{3 + 10 + 7} *180

S_3 = \frac{7 *180}{20}

S_3 = \frac{1260}{20}

S_3 = 63

Hence, the angles are: 27, 90 and 63

5 0
3 years ago
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