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ycow [4]
2 years ago
9

Please help

Mathematics
1 answer:
ehidna [41]2 years ago
6 0

Answer:

The length between the two points is RT = 1.3 units

Step-by-step explanation:

The coordinates of the point R and T are R(2,1.2) and T(2,2.5).

Now, by DISTANCE FORMULA:

The distance between two coordinates  P and Q with coordinate P(a,b)  and Q(c,d) is given as:

PQ  = \sqrt{(a-c)^2   + (b-d)^2}

So, here the distance RT = \sqrt{(2-2)^2  + (2.5 - 1.2)^2}   = \sqrt{0^2  + (1.3)^2}   = 1.3

or, RT = 1.3 units

Hence, the length between the two points is RT = 1.3 units

You might be interested in
Find the equation of the line that has slope of 7 and passes through the point (-9,2).
lawyer [7]

Answer:

y=7x+65

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-9,2) and has a slope of 7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 7. So you can right away fill in the equation for a line somewhat to read:

y=7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-9,2). When x of the line is -9, y of the line must be 2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,2).

So, why not plug in for x the number -9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-9,2). y=mx+b or 2=7 × -9+b, or solving for b: b=2-(7)(-9). b=65.

The equation of the line that passes through the point (-9,2) with a slope of 7

is

y=7x+65

Have a nice day!

5 0
2 years ago
1.75x+1.25y=2<br> 7x+5y=9<br> how many solutions does this system of equations have?
Vlad1618 [11]

Answer:

true 7x+5y=9

Step-by-step explanation:

7 0
3 years ago
Felipe has ridden 48 miles of a bike course. The course is 60 miles long. What percentage did Felipe ridden so far
MatroZZZ [7]

Answer:

58

Step-by-step explanation:

7 0
3 years ago
Pls do 2-4, no fake answers to get points i will give brainliest
klemol [59]
-2 pretty sure hope this helps
7 0
2 years ago
Read 2 more answers
Learning Task 4. Solve the problem by applying the sum and product of roots
Delvig [45]

Answer:

<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>

Step-by-step explanation:

For a quadratic equation:

x^2+bx+c=0

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

x^2-18x+80=0

Factoring by finding two numbers that add up to 18 and have a product of 80:

(x-10)(x-8)=0

The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

6 0
2 years ago
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