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zlopas [31]
3 years ago
8

Variable y varies directky with x2 ,and y= 196 when x=7 enter the constant of variation in the quadratic variation equation y=bl

ank x2 answer please
Mathematics
1 answer:
ankoles [38]3 years ago
3 0
The equation looked for is this:
y = zx^2
we need to find the z value, and we can do that by substituting the data provided in the problem, lets substitute data:
<span>y = zx^2
</span>196 = z(7)^2
196 = 49z
z = 196/49
z = 4
therefore the equation is:
y = 4x^2
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Find the equation of the line through ( - 10, - 8) that is perpendicular to the line through (10,6), (5,5).
Furkat [3]

Answer:

y=-5x-58

Step-by-step explanation:

The equation of a line in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

Perpendicular lines have opposite reciprocal slopes.

Anyways we need to find the slope of the line going through (10,6) and (5,5).

To find the slope, we are going to line up the points vertically and subtract vertically, then put 2nd difference over 1st difference. Like so:

 (  10   ,   6)

- (   5   ,   5)

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

    5         1

So the slope of the line through (10,6) and (5,5) is 1/5.

The slope of a line that is perpendicular will be the opposite reciprocal of 1/5.

The opposite reciprocal of 1/5 is -5.

The line we are looking for is y=-5x+b where we need to find the y-intercept b.

y=-5x+b goes through (-10,-8)

So we can use (x,y)=(-10,-8) to find b in y=-5x+b.

y=-5x+b with (x,y)=(-10,-8)

-8=-5(-10)+b

-8=50+b

Subtract 50 on both sides:

-8-50=b

-58=b

So the equation is y=-5x-58

4 0
4 years ago
A car goes 60 miles on 2 2/3 Gallons of gas. How many miles will it go with 1 gallon of gas?
Sergio [31]
22.5 miles

You would create a proportion based on the given information, then cross multiply and solve for the number of miles 1 gallon of gas can go.

4 0
3 years ago
Read 2 more answers
Select the angle that correctly completes the law of cosines for this triangle. 72 + 252 – 2(7)(25)cos ___ = 242 A. 180° B. 90°
meriva

Answer:

x =76.45 degrees

Step-by-step explanation:

72 + 252 – 2(7)(25)cos _x__=242

combine like terms

324-350cosx = 242

subtract 324 from each side

-350x = -82

divide by -350

cos x = -82/-350

cos x = 82/350

take the arccos of each side

arccos (cos x) = arccos (82/350)

x =76.45 degrees


7 0
4 years ago
(5, 4.07, 5.26, 4.3, 5.02) <br><br> 5.02 &lt; ?​
aleksandr82 [10.1K]

Answer:

5.26

Step-by-step explanation:

Of the numbers given, opnly 5.26 is larger than 5.02.

8 0
3 years ago
Can I have some help on these two math questions?
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