Write an equation in slope-intercept form for the line with y-intercept -1 and slope -4

Mathematics

2 answers:

SVETLANKA909090 [29]2 years ago

5 0

Answer:

f(x)=-4x-1

Step-by-step explanation:

f(x)=ax+b

a=-4/slope

b=-1/y-intercept

f(x)=-4x-1

muminat2 years ago

4 0

Y = mx + b
y = -4x - 1

Hope this helps!

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A circular pond 24 yd in

Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

$Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd$

Now, area of the pond is given as:

$A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2$

Area of the complete path including the pond area is given as:

$A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2$

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

$A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2$

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0

3 years ago

Read 2 more answers

(NEED HELP ASAP)

Mumz [18]

*The missing image is attached with the answer*

The correct answer is: Height = h =5 units

Explanation:
a = 6 = Smaller base
b = 10 = Larger base
h = height

Area = A = (a + b)h/2 = 40

Plug in the values in the above equation:
h = (2*40)/(6+10)
h = 5 units