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Hatshy [7]
3 years ago
7

Please help me with 32 and 33

Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer:do u have any diagram

Step-by-step explanation:

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What would the answers to these be?
amm1812

The first equation, 8x - 9y = - 23

Obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = ( \frac{1}{2}, 3) and (x₂, y₂ ) = (- 4, - 1 )

m = \frac{-1-3}{-4-1/2} = (- 4)/- \frac{9}{2} = \frac{8}{9}

partial equation is y = \frac{8}{9} x + c

to find c substitute either of the 2 points into the partial equation

using (- 4, - 1 ), then

- 1 = - \frac{32}{9} + c ⇒ c = \frac{23}{9}

y = \frac{8}{9} x +\frac{23}{9} ← in slope- intercept form

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange the slope- intercept equation into this form

multiply through by 9

9y =  8x + 23 ( subtract 9y and 23 from both sides )

8x - 9y = - 23 in standard form


4 0
3 years ago
If u help me your dreams will come true ya know
wariber [46]

Answer:

Area of larger circle = \pi *r^2=3.14(11^2)=379.94

Area of smaller circle = \pi *r^2=3.14(3^2)=28.26

Probability that it lands in the shaded area (smaller circle):

28.26 ÷ 379.94 = 0.07438... = 0.07 (nearest hundredth)

8 0
2 years ago
A light shines from the top of a pole 50ft high. a ball is dropped from the same height from a point 30 ft away from the light.
belka [17]
The speed of the ball is 
ds/dt = 32t
At t =1/2 s
ds/dt = 16 ft/s
The distance from the ground
50 - 16(1/2)^2 = 46 ft
The triangles formed are similar
50/46 = (30 + x)/x
x = 345 ft

50 / (50 - s) = (30 + x)/x
Taking the derivative and substituing
ds/dt = 16
and
Solve for dx/dt
7 0
3 years ago
Alma had four ants in her ant farm. She found three more ants outside and put them in the ant farm. She wanted to know how many
olga2289 [7]

Answer:

42

Step-by-step explanation:

4+3=7 7x6=42

5 0
3 years ago
Graph a line that contains the point (4, 3) and has a slope of 1/2
Lapatulllka [165]

Answer:

y=1/2x+1

Step-by-step explanation:

one dot on the 1 on the y axis

then more one unit up and two units to the left

and then from the first point (0,1) go one unit down

and two to the right. then make the line with the three points

3 0
3 years ago
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