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gizmo_the_mogwai [7]
4 years ago
15

Which letter represents the y-intercept in the slope-intercept equation of a line: y = mx + b?

Mathematics
1 answer:
sergey [27]4 years ago
8 0
The slope-intercept form of a line is:

y=mx+b

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

b=y-intercept (the value of y when x=zero)


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Kenny is packing cans into bags at the food bank he cn pack 8 cans into each bag how many bags how many bags will kenny need for
Sholpan [36]
1056cans/ 8 cans=132 bags
3 0
3 years ago
3. (6 Points). Solve the initial value problem y'-y.cosx=0, y(pi/2)=2e
Stells [14]

Answer:

y=2e^{sin(x)}

Step-by-step explanation:

Given equation can be  re written as

\frac{\mathrm{d} y}{\mathrm{d} x}-ycos(x)=0\\\frac{\mathrm{d} y}{\mathrm{d} x}=ycos(x)\\\\=> \frac{dy}{y}=cox(x)dx\\\\Integrating  \\ \int \frac{dy}{y}=\int cos(x)dx \\\\ln(y)=sin(x)+c............(i)

Now it is given that y(π/2) = 2e

Applying value in (i) we get

ln(2e) = sin(π/2) + c

=> ln(2) + ln(e) = 1+c

=> ln(2) + 1 = 1 + c

=> c = ln(2)

Thus equation (i) becomes

ln(y) = sin(x) + ln(2)

ln(y) - ln(2) = sin(x)

ln(y/2) = sin(x)

y= 2e^{sinx}

7 0
3 years ago
Solve the equation. Check for extraneous solutions. 9|9 – 8x| = 2x + 3
Bad White [126]
The answers of this equation are 39/37 and 6/5. To get the answers, the equation of the problem becomes 9(9-8x)=2x+3 and 9(8x-9)=2x+3. Then next step is to simplify first equation 1,
<span>81=74x+3.
After, equation 2 is simplified
</span><span>70x=3+81</span>
7 0
3 years ago
Please help with this
lawyer [7]

Answer:

D. Yes The Triangles ARE ≅

Step-by-step explanation:

By definition equilateral triangles have all equal angles and sides. Since they share a side that means one of each triangle's sides are congruent. Using the transitive property (if side a ≅ side b and side b ≅ side c, then side a ≅ side c), you can prove that all other sides are congruent or equal in measure, no matter how you pair them.

3 0
3 years ago
A bat and a ball cost $1.10. The bat is $1 more than the ball. What does the ball cost?
mestny [16]
1.05 is the answer
Write an algebraic equation to solve
a= ball
b= bat
a + b = 1.10
Write out the equation for the ball (a = b + 1)
substitute the equation for the ball into the original equation
(b + 1) + b = 1.10
simplify the equation
2b + 1 = 1.10
Solve the equation
2b + 1 = 1.10
-1. -1
——————-
2b .1
/2 /2 = .05

Plug in your answer into the equation for the ball (a= b + 1)
a= .05 + 1
1.05 is your answer

4 0
3 years ago
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