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ira [324]
3 years ago
12

Find the distance between the points (1, 2) and (4,3).

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0

ANSWER: Exact Form: \sqrt{10}

Decimal Form:  3.16227766

STEP-BY-STEP EXPLANATION:

(1, 2) and (4,3)

Use the distance formula to determine the distance between the two points.

Distance = \sqrt{(X2-X1)^{2  }+ (Y2-Y1)^{2} }

Substitute the actual values of the points into the distance formula.

\sqrt{(4-1)^{2  }+ (3-2)^{2} }

The result can be shown in multiple forms.

Exact Form: \sqrt{10}

Decimal Form:  3.16227766

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2
jolli1 [7]

Answer:

E = 30 \times H

$570

Step-by-step explanation:

Given that:

For each hour of tutoring, Lena earns 30 dollars.

E is her earning and

H is the number of hours for which she tutors.

To find:

Equation relating E to H.

Solution:

Let Lena tutors for 1 hour, then the earning = 30 dollars

Let Lena tutors for 2 hours, then the earning = 30+30 OR 2\times30 = 60 dollars

Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 3\times30 = 90 dollars

If Lena tutors for H number of hours, then the earning, E = 30 + 30 + .... + 30 (H times) i.e.

E = 30 \times H

So, the equation that relates E to H is given as:

E = 30 \times H

Now, it is given that she tutors for 19 hours.

Let us put H = 19 hours in the above equation:

E = 30 \times 19 \\\Rightarrow E = \$570

Therefore, the earning for 19 hours of tutoring is <em>570 Dollars.</em>

4 0
4 years ago
11 x 4 + 6 - 8 x 27 - 37 + 48 =<br><br><br>I give brainliest
mr_godi [17]

Answer:

-155

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How are these two problem different 35-15 and 43-26
Anna35 [415]
Wne solved they have different answers 

35 - 15 = 20
       and
43 - 26 = 17
4 0
3 years ago
What are the solutions of the equation x4 – 5x2 - 36 = 0? Use factoring to solve.
balandron [24]

Answer:

x = -2i and x = 2i

x = 3 and x = - 3

Step-by-step explanation:

x^4 - 5x^2 - 36 = 0

let u = x^2 and substitute

we have:

u^2 - 5u - 36 = 0

(u - 9)(u + 4) = 0

u = 9 and u = - 4

substitute back for u

x^2 = 9

x = 3 and x = - 3

x^2 = -4 -- i am going to assume you've learned imaginary numbers; otherwise, you cannot take the square root of a negative number.

x = -2i and x = 2i

5 0
3 years ago
Please help, will give Brainliest!<br> Reflect this figure over the y-axis:
Dmitry [639]

Answer:

<em><u>A will be your correct answer.</u></em>

<em><u /></em>

Step-by-step explanation:

When flipping shapes over the x axis, <em>(The horizontal line)</em> the <u>x coordinates stay the same</u>, but the shape's <u>y coordinates are opposite to the original shape</u>. <em>(If the shape's y coordinates are positive, then after flipping it on the x axis, the shape's y coordinate become negative.)</em>

The only flipped shape that fits this description is<u> A. or the first answer</u>.

4 0
3 years ago
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