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3 years ago

Find Slope -5,3 and 7,8

Mathematics

2 answers:

hodyreva [135]3 years ago

6 0

Answer:

5/12.

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1) where the 2 points are (x1, y1) and (x2, y2).

So here it is:

(8 - 3)/ (7 - (-5))

= 5/12.

34kurt3 years ago

3 0

Answer:

5/12

Step-by-step explanation:

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3 years ago

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Adam exchanged British pounds for Swiss franc He changed £400 into 592 francs What was the exchange rate of British pounds to Sw

OLEGan [10]

Answer: 1 : 1.48

Step-by-step explanation:

Adam was able to change £400 into 592 francs which means that the British pound is stronger because it was able to buy more Swiss francs.

The exchange rate can be gotten using direct proportion:

400 : 592

1 : x

Cross multiply:

400x = 592

x = 592/400

x = 1.48

Exchange rate is:

= 1 : 1.48

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3 years ago

Small Easy Algebra Question. (I know How to Do it I am seeing if others know too.)

Murljashka [212]

Answer:

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Step-by-step explanation:

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3 years ago

Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,3) E (8,3) and F(1,-5).

NemiM [27]

Let the coordinates of the circumcentre O of the triangle DEF be (x, y). Circumcentre of a triangle is equidistant from each of the vertices.

1. Distance OD=distance OE, then:

$(x-1)^2+(y-3)^2=(x-8)^2+(y-3)^2$ .

2. Distance OD=distance OE, then:

$(x-1)^2+(y-3)^2=(x-1)^2+(y+5)^2$ .

Solve the system:

$\left\{\begin{array}{l} (x-1)^2+(y-3)^2=(x-8)^2+(y-3)^2 \\ (x-1)^2+(y-3)^2=(x-1)^2+(y+5)^2 \end{array}\right.$ ,

$\left\{\begin{array}{l} x^2-2x+1+y^2-6y+9=x^2-16x+64+y^2-6y+9 \\ x^2-2x+1+y^2-6y+9=x^2-2x+1+y^2+10y+25 \end{array}\right.$ ,

$\left\{\begin{array}{l} 14x=63 \\ -16y=16 \end{array}\right.$ .

Then

$x=\dfrac{63}{14} =\dfrac{9}{2} =4.5,\\ \\ y=-1$ .

Answer: the coordinates of the circumcenter for ∆DEF are x=4.5, y=-1.

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4 years ago

Find the equation of the line using the point-slope formula. Write all the final equations

vivado [14]

Answer:

$y=\frac{1}{2}x+\frac{5}{2}$

Step-by-step explanation:

We are going to find the slope by lining up the points vertically and subtract, then put 2nd difference over first.

Also you could just use $\frac{y_2-y_1}{x_2-x_1}$ . It is the same thing.

( 5 , 5)

-( 1 , 3)

--------------

4 2

So the slope is 2/4 or 1/2 after reducing.

The point-slope form a line is

$y-y_1=m(x-x_1)$ with a point on the line $(x_1,y_1)=(1,3)$ given and with slope $m=\frac{1}{2}$ given.

$y-3=\frac{1}{2}(x-1)$

We are going to solve this for y and simplify what we can because our goal is y=mx+b; this is slope-intercept form. It is called that because it tells us the slope,m, and the y-intercept,b.

Distribute:

$y-3=\frac{1}{2}x-\frac{1}{2}$

Add 3 on both sides:

$y=\frac{1}{2}x-\frac{1}{2}+3$

Simplify:

$y=\frac{1}{2}x+\frac{5}{2}$

4 0

4 years ago