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Liono4ka [1.6K]
3 years ago
7

What is the point-slope form of the equation of a line that passes through the point (6, −8) and has a slope of −2?

Mathematics
1 answer:
Vilka [71]3 years ago
5 0
General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\
a-\ slope\\a=-2\\\\y=-2x+b\\\\Substitute\ point\ (6,-8)\\\\
-8=-2*6+b\\
-8=-12+b\ \ \ |Add\ 12\\
4=b\\\\
Equation\ of\ line:\\
y=-2x+4.
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Helppppppppp pleaseeeeeee fasttttt
topjm [15]
I think it’s 104,974
Because PEMDAS,
so first deal with exponents and 3 to the fourth power is 81. 6 to the fourth power is 1,296.
Next in PEMDAS is multiplication and division, so 1,296 times 81 is 104,976. Then 4 divided by 2 is 2.
Finally comes subtraction, 104,976 minus 2 = 104,974
5 0
3 years ago
Read 2 more answers
(secx)dy/dx=e^(y+sinx), please help me solve the differential equation. Thanks :)
nalin [4]
First, you must know these formula  d(e^f(x) = f'(x)e^x dx, e^a+b=e^a.e^b, and d(sinx) = cosxdx, secx = 1/ cosx

(secx)dy/dx=e^(y+sinx), implies  <span>dy/dx=cosx .e^(y+sinx), and then 
</span>dy=cosx .e^(y+sinx).dx, integdy=integ(cosx .e^(y+sinx).dx, equivalent of 
integdy=integ(cosx .e^y.e^sinx)dx, integdy=e^y.integ.(cosx e^sinx)dx, but we know that   d(e^sinx) =cosx e^sinx dx,
so integ.d(e^sinx) =integ.cosx e^sinx dx,
and e^sinx + C=integ.cosx e^sinxdx
 finally, integdy=e^y.integ.(cosx e^sinx)dx=e^2. (e^sinx) +C
the answer is 
y = e^2. (e^sinx) +C, you can check this answer to calculate dy/dx
7 0
3 years ago
Read 2 more answers
Which value completes the equation?
Ivahew [28]

Step-by-step explanation:

56,000÷7=8000

56,000÷70=800

56,000÷700=80

56,000÷7000=8

7 0
2 years ago
PLEASE HELP
SVETLANKA909090 [29]

Answer:

f(x) = 2(x + 4)² - 2

Step-by-step explanation:

Equation of quadratic function whose vertex is (h, k),

f(x) = a(x - h)² + k

Equation of the function with vertex (-4, -2) shown in the graph will be,

f(x) = a(x + 4)² - 2

This graph is passing through a point (-6, 6) also,

6 = a(-6 + 4)² - 2

6 + 2 = a(-2)²

a = \frac{8}{4} = 2

Therefore, quadratic function is f(x) = 2(x + 4)² - 2

7 0
3 years ago
Please Help! 13. List all of the elements of each set<br><br>a) Set of integer solutions of x^2≤3
adell [148]

Answer:

S = {-1, 0, 1}

Step-by-step explanation:

First we need to solve the inequation x^2<=3

Using square root in both sides, we have:

|x| <= 1.73

Separating the module in two, we have:

x <= 1.73

x >= 1.73

So we have that -1.73 <= x <= 1.73

Solving this inequation only with integer values, we have:

x = -1, x = 0 or x = 1

So the set of integer solutions is S = {-1, 0, 1}

4 0
3 years ago
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