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Troyanec [42]
3 years ago
10

I need help with both a and b please

Mathematics
1 answer:
Anika [276]3 years ago
6 0
A.
2.718... between 2 and 3
2 = √4 and 3 = √9
So, 2.718... between √4 and √9        [√4 < e < √9]


b.
π = 3.1415...
3.1415... between 3 and 4
3 = √9 and 4 = √16
So, 3.1415... between √9 and √16       [√4 < π < √9]
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Graph a linear function with a slope of –2 and a y-intercept of 7.
Setler79 [48]

Answer:

Sorry for the sloppiness of the drawing

Step-by-step explanation:

6 0
3 years ago
identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 10)
Masteriza [31]

Answer:

Step-by-step explanation:

y = -1/3x + 2

m1 = -1/3

Slope of the perpendicular line = -1/m1 = -1 ÷ \frac{-1}{3} = -1*\frac{3}{-1} = 3

Equation of the required line : y = mx +b

y = 3x + b

Plugin x = 2 and y 10 in the above equation

10 = 3*2+ b

10 = 6 +b

10 - 6 = b

b = 4

Equation: y = 3x + 4

8 0
3 years ago
Use the function f(x) = 2 - 5x to fill in the blanks in the table. x f(x)
kvasek [131]
I will one only and you do the rest.

Let x = -2

Plug into given function.

f(-2) = 2 - 5(-2)

f(-2) = 2 + 10

f(-2) = 12

So, when x = -2, f(x) = 12.

Table:

x............ f(x)
-2 12
-1
0
1
2

Find the rest the same way.



5 0
3 years ago
Alanah is picking up two friends to go to a concert. She drives from her house to pick up Mia, then she drives to pick up Teresa
Ksivusya [100]

Answer:

Total distance = 30.3 units

Step-by-step explanation:

Coordinates for the location of Alanah, Mia, Teresa and Arena are,

Alanah → (2, 8)

Mia → (8, 16)

Teresa → (8, 2)

Arena → (14, 4)

Distance between two points (x_1,y_1) and (x_2,y_2) is given by the formula,

d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Distance between Alanah and Mia = \sqrt{(16-8)^2+(8-2)^2}

                                                          = \sqrt{100}

                                                          = 10 units

Distance between Mia and Teresa = \sqrt{(16-2)^2+(8-8)^2}

                                                          = 14 units

Distance between Teresa and Arena = \sqrt{(4-2)^2+(14-8)^2}

                                                              = \sqrt{40}

                                                              = 6.3 units

Total distance of Alanah's trip to Arena = 10 + 14 + 6.3

                                                                  = 30.3 units

3 0
3 years ago
Read 2 more answers
Find the x-intercepts of the parabola with
12345 [234]

Answer:

x-intercepts are (0, 0) and (-6, 0)

Step-by-step explanation:

equation of a parabola in vertex form:  y = a(x - h)² + k

where (h, k) is the vertex

Substituting the given vertex (-3, -18) into the equation:

y = a(x + 3)² - 18

If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:

0 = a(0 + 3)² - 18

⇒ 0 = a(3)² - 18

⇒ 0 = 9a - 18

⇒ 9a = 18

⇒ a = 2

Therefore, y = 2(x + 3)² - 18

To find the x-intercepts, set the equation to 0 and solve for x:

                                 2(x + 3)² - 18 = 0

Add 18 to both sides:     2(x + 3)² = 18

Divide both sides by 2:    (x + 3)² = 9

Square root both sides:      x + 3 = ±3

Subtract 3 from both sides:  x = ±3 - 3

so x = 3 - 3 = 0  

and  x = -3 - 3 = -6

So x-intercepts are (0, 0) and (-6, 0)

8 0
2 years ago
Read 2 more answers
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