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White raven [17]
1 year ago
6

Identify the slope and y-intercept of the function y = -2x + 3. O A. The slope is 3. The y-intercept is (0,2). OB. The slope is

3. The y-intercept is (0, -2). O C. The slope is 2. The y-intercept is (0,3). O D. The slope is -2. The y-intercept is (0,3).

Mathematics
1 answer:
monitta1 year ago
7 0

Since the slope-intercept form of a line is given by the expression:

y=mx+b

Where, m is the slope and b is the y-intercept.

Then, for the function:

y=-2x+3

The slope is -2 and the y-intercept is (0, 3)

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Find the intersection points using substitution or elimination for each system of equations:
natka813 [3]

Answer:

Step-by-step explanation:

Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.

Problem 1:

(x²)/4 +y²= 1

y= x+1

*substitute for y*

Now we have a one-variable equation we can solve-

x²/4 + (x+1)² = 1

x²/4 + (x+1)(x+1)= 1

x²/4 + x²+2x+1= 1

*subtract 1 from both sides to set equal to 0*

x²/4 +x^2+2x=0

x²/4 can also be 1/4 * x²

1/4 * x² +1*x² +2x = 0

*combine like terms*

5/4 * x^2+2x+ 0 =0

now, you can use the quadratic equation to solve for x

a= 5/4

b= 2

c=0

the syntax on this will be rough, but I'll do my best...

x= (-b ± √(b²-4ac))/(2a)

x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))

x= (-2 ±√(4-0))/(2.5)

x= (-2±2)/2.5

x will have 2 answers because of ±

x= 0 or x= 1.6

now plug that back into one of the equations and solve.

y= 0+1 = 1

y= 1.6+1= 2.6

Hopefully this explanation was enough to help you solve problem 2.

Problem 2:

x² + y² -16y +39= 0

y²- x² -9= 0

6 0
3 years ago
6,000 multiplied by power of 10
larisa86 [58]
An easy way of finding the answer to your question is by using a scientific calculator. When I plugged in 6,000^10 it gave me 6.0466176x10^37. Yes the answer is in scientific notation, but if you want the answer shortened out to the nearest hundredth place the answer is 6.05.
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liraira [26]
4/15
Multiple the numerator by numerator, and denominator by denominator, then simplify
5 0
3 years ago
Write the equation of the line in the slope-intercept form.<br> M=4/5, y-intercept (0,1)
netineya [11]

Answer:

y=4/5x+1

Step-by-step explanation:

y=mx+b

  • m is the slope
  • b is the y-intercept

m= 4/5

b=   1   (0,1) y-value

Equation:

           y=4/5x+1

8 0
3 years ago
This Is Graded, Please Help TYSM!
olchik [2.2K]

Answer: For the cirlces since I already answered the triangles

1.  Area:660.519855417

   Circumference:91.1061869541

2. Area: 572.555261117

    Circumference:84.8230016469

3. Area:283.528736986

    Circumference:59.6902604182

4. Area:1017.87601976

    Circumference:113.097335529

5. Area: 63.6172512352

    Circumference: 28.2743338823

6. Area:380.132711084

    Circumference:69.115038379

Step-by-step explanation:

The formula for the area of a circle is π*r^2, r being the radius or the half line in the circle, and the formula for the circumference is   π*r*2, or  π*d, or the diameter which is the line that goes all the way through like number 5. The radius is half the diameter.

4 0
3 years ago
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