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3 years ago

Solve by elimination -8x -10y = 24 and 6x + 5y = 2

1 answer:

5 0

Alright, if we take the first equation and rearrange it, we get:
x = -(24+10y)/8
when we rearrange the second one, we get:
x = (2-5y)/6

When we subtract both of these equations, we get:
x - x = 0
-(24+10y)/8 - (2-5y)/6 = -(72+30y)/24 - (8-20y)/24 = (-80-50y)/24
(-40-25y)/12

So, -25y-40 = 0
y = -1.6

Now, we substitute y back in to either of the 2 original equations, to get:
6x + 5(-1/6) = 2
6x - 8 = 2
6x = 10
x = 5/3

Hope I helped! xx

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How do I solve <br><br> x² - 10x-3=0

evablogger [386]

Answer:

x = 5±2√7

Step-by-step explanation:

This quadratic cannot be factorised via the factorisation method, so we use the quadratic formula :

x = $\frac{-b + \sqrt{b^{2} -4ac} }{2a}$ or x = $\frac{-b - \sqrt{b^{2} -4ac} }{2a}$

(The reason I did 2 equations is because brainliest does not allow me to do the ± in the equation insert thing )

x = $\frac{-(-10) + \sqrt{-10^{2} -4(1)(-3)} }{2(1)}$ or x = $\frac{-(-10) - \sqrt{-10^{2} -4(1)(-3)} }{2(1)}$

x = $\frac{10 + \sqrt{100+12} }{2}$ or x= $\frac{10 - \sqrt{100+12} }{2}$

x = $\frac{10 + {4\sqrt{7}} }{2}$ or x = $\frac{10 - {4\sqrt{7}} }{2}$

x = $5+2\sqrt{7}$ or x = $5 -2\sqrt{7}$

Hope this helped and brainliest please

3 0

3 years ago

Solve the following system of equations by graphing. Then determine whether the system is consistent or inconsistent and whether

Olenka [21]

Recall that the slope-intercept form of the equations of a line is:

$y=mx+b\text{.}$

Taking both equations to their slope-intercept form we get:

$\begin{gathered} 6x+6y-6x=-30-6x, \\ 6y=-30-6x, \\ \frac{6y}{6}=-\frac{30}{6}-\frac{6}{6}x, \\ y=-x-5\text{.} \end{gathered}$ $\begin{gathered} 3x+3y-3x=-15-3x, \\ 3y=-15-3x, \\ \frac{3y}{3}=-\frac{15}{3}-\frac{3}{3}x, \\ y=-x-5. \end{gathered}$

Notice that both equations are the same, therefore the system has infinitely many solutions, therefore it is consistent and dependent.

Answer:

Equations:

$\begin{gathered} y=(-1)x+(-5), \\ y=(-1)x+(-5)\text{.} \end{gathered}$

The system is consistent and dependent.

A solution to the system is (0,-5).

7 0

1 year ago

I need help with geometry.

Dahasolnce [82]

1.

In any trapezoid, the length of the midsegment is $\frac{|base_1|+|base_2|}{2}$

substituting the known values:

$\frac{24+|base_2|}{2}=19$

$24+|base_2|=38$

$|base_2|=38-24=14$

2.

Notice that since D and have the same y-coordinate, then DE is horizontal, and since F and D have the same x-coordinate, FD is vertical.

Thus FD and DE are perpendicular, so the triangle FED is a right triangle.

The median drawn from the right angle, is equal to half the hypotenuse.

That is, |DO|=1/2 |FE|, thus |OE|=|OF|=|OD|, are all radii of the circle centered at O.

O is the midpoint of EF, and is found by the Midpoint formula:

$O=( \frac{1+7}{2} , \frac{5+1}{2} )=(4, 3)$

Answer:

1. 14

2. (4, 3)

4 0

3 years ago

What is the slope of y= 4 - 2x??

nadezda [96]

Consider the slope-intercept form, y=mx+b, where m= the slope, and b= the y-intercept. Here, 4 is b and -2 is m. Therefore, the slope is -2.

7 0

4 years ago

The value of investments in the stock market change daily. Suppose you buy a stock for $1500. It decreases in value by 5% and th

Dmitriy789 [7]

Answer:

$1,524.75

Step-by-step explanation:

Purchase price = $1,500

Percentage decrease = 5% or 0.05 as a decimal

Amount by which the stock decreased = - (1500*0.05) = -$75

So at first, the price decrease to = $1,500 - $75 = $1,425

Secondly, the percentage increase in price = 7% or 0.07 as a decimal

Amount by which the stock increased = (1,425*0.07) = $99.75

Therefore, the price rose to = $1,425 + $99.75 = $1,524.75

New value is therefore $1,524.75

8 0

3 years ago