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GenaCL600 [577]
4 years ago
10

Solve each system by substitution x^2 − 14x + 49 = 4?

Mathematics
1 answer:
DiKsa [7]4 years ago
3 0
The answer would be x=5 or x=9

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Guys, determine the equation of each line, given the information below:
KIM [24]

Answer:

The equation is;

4y = 7x + 2

Step-by-step explanation:

The general equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

m = (y2-y1)/(x2-x1)

(x1,y1) = (2,3)

(x2,y2) = (-2,-4)

m = (-4-3)/(-2-2) = -7/-4 = 7/4

So we have the equation as;

y = 7x/4 + b

To

get the value of b, we will substitute any of the points (let us use 2,3)

We simply substitute 2 for x and 3 for y

We have this as:

3= 7(2)/4 + b

3 = 7/2 + b

b = 3-7/2 = -1/2

So we have the equation as;

y = 7x/4 + 1/2

multiply through by 4

4y = 7x + 2

3 0
3 years ago
The number of hours, h, that Mr. Hampton works varies directly with the number of tasks, t, he has to perform. If he has 6 tasks
olga2289 [7]

i think its 2.5 because 15/6= 2.5 so 2.5t=h and the equation is kt=h so 2.5 makes the most sense.

I hope this helps

4 0
3 years ago
Z varies directly as x^3 and inversely as y^3. if z=59 when x=8 and y=8, find Z if x=3 and y=4
marissa [1.9K]

z=\dfrac{kx^3}{y^3}\\\\\\59=\dfrac{k\cdot 8^3}{8^3}\\k=59\\\\\\z=\dfrac{59x^3}{y^3}\\\\\\z=\dfrac{59\cdot 3^3}{4^3}=\dfrac{1593}{64}

8 0
2 years ago
Please identify the terms, like terms, coefficients, and constants in each expression! Thank you!
Bogdan [553]
16. there are 4 terms, +4m, +3, +m, +1
+4m and +m are like terms, +3 and +1 are like terms. (Like terms can be combined, +4m+m=5m). the coefficient (the number to the right of a letter) for the term +4m is +4, the coefficient for the term +m is +1. +1 and +3 are the two constants. (constants are numbers without a letter)

I hope you can do the rest by yourself now. Note: in #18, 7j, 11jk, and k are not like terms. There are no like terms in number 18. Neither are there any like terms in #20
7 0
3 years ago
Need help ASAP! (Geometry 1)
melisa1 [442]

Answer:

The Length of third side is 52 units.

Step-by-step explanation:

Given:

Length of First side = 48

Length of second side = 20

Also given the angle between them is 90°.

Hence we can say figure shown is a right angled triangle.

For finding the third side we can use Pythagoras theorem which states that;

"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."

Third \ side ^2=First \ side^2+Second \ side^2

Hence substituting the values we get;

Third\ side^2= 48^2+20^2 = 2304+400 =2704

Now taking Square root on both side we get;

\sqrt{Third \ side^2} = \sqrt{2704}\\ Third \ side = 52 \ units

Hence Length of Third side is 52 units.

3 0
4 years ago
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