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saul85 [17]
4 years ago
10

Write the slope of a line parallel to the given line Y=7/4x-2

Mathematics
1 answer:
Schach [20]4 years ago
6 0
Parallel lines have the same slope, so if you need a line parallel to this one, it'll share a slope of (7/4). for future reference, perpendicular lines have opposite reciprocal slopes. you change the sign, then flip the fraction. -2 would become 1/2; as slopes, these would be perpendicular lines.
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2.) I am a two-digit number that can be referred to as a perfect square. The sum of my two digits is 10. What number am I?
Scorpion4ik [409]

Answer: 64

Step-by-step explanation:

By definition, a perfect square is the square of a whole number.

The information given in the problem that you must keep on mind is:

- The number has two digits.

- The number is a perfect square ( Is obtained by squaring a whole number).

- The sum of its two digits is 10.

The number 64 is formed by the digit 6 and the digit 4. The sum of both digits is:

6+4=10

The number 64 can be written as:

64=8*8=8^2

Then, it is perfect square.

5 0
3 years ago
What is −(8−1+5)?<br> Written explanation.
Dmitriy789 [7]

Step-by-step explanation:

You can use the distributive property

-(a - b + c) = -a + b - c

So, the answer to this is -8 + 1 - 5.

3 0
3 years ago
Read 2 more answers
Sebastian invested $7,100 in an account paying an interest rate of 8 1 4 \% compounded monthly. Eva invested $7,100 in an accoun
Alexxx [7]

Answer:

Given:

Sebastian :

Principal(invested)= $7,100

Rate of interest=  8.14% compounded monthly

Eva:

Principal(invested)= $7,100

Rate of interest= 8.12% compounded continuously

Step-by-step explanation:

After 5 years,

In Sebastian case:

Amount= Principal*(1+R/100)^{t}

Amount = 7100*(1+8.14/100)^{12*5}

Amount= 7100*1.0814^{60}

Amount=7100*109.4415

Amount= $777,034.43

In Eva case,

Amount= Principal*e^{Rt/100}

Amount = 7100*e^{0.0812*12*5\\}

Amount= 7100*130.5818

Amount= $927,130.92

Difference between their money=$927,130.92-777034.43

                                                 =$150,096.49

Eva has $150,096 more money than Sebastian.

7 0
3 years ago
Read 2 more answers
If 12 eggs cost $1.73 how much will 1 egg be?
stealth61 [152]

Answer:  6.93641618497 You would have to round that to the nearest sum.

4 0
3 years ago
A 15-foot ladder leans against a house. The bottom of the ladder is 7 feet from the house. To the nearest degree, what angle doe
max2010maxim [7]
The ladder is forming a right triangle with the house. In this right triangle the hypotenuse is the measure of the ladder, and the distance between the house and he ladder is one of the sides of the triangle. To find the angle, \alpha, that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine. 
Cos \alpha = \frac{adjacent.side}{hypotenuse}
Cos \alpha = \frac{7}{15}
\alpha =arcCos( \frac{7}{15} )
\alpha =62.2

We can conclude that the ladder make with the ground a 62° angle.
7 0
3 years ago
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