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2 years ago

What is the slope- intercept form of 4x+5y=20

Mathematics

1 answer:

True [87]2 years ago

5 0

Answer:

y = -4/5x + 4

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Standard Form: 4x + 5y = 20

Step 2: Rewrite

Subtract 4x on both sides: 5y = 20 - 4x
Divide 5 on both sides: y = 4 - 4/5x
Rearrange: y = -4/5x + 4

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The equation of a circle is given by (x + 3.5) ^ 2 + (y - 2.82) ^ 2 = 25 What is the area of a 52 degrees sector of this circle?

Sunny_sXe [5.5K]

Answer:

≈ 11.34 units²

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 3.5)² + (y - 2.82)² = 25 ← is in standard form

with r² = 25 ⇒ r = $\sqrt{25}$ = 5

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{52}{360}$

= π × 5² × $\frac{52}{360}$

= π × 25 × $\frac{52}{360}$

= $\frac{25(52)\pi }{360}$

≈ 11.34 units² ( to the nearest hundredth )

3 0

3 years ago

A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $

alexira [117]

Answer: $1.627\times 1.627\times 1.88\ ft^3$

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume $V=l^2\cdot h$

$h=\frac{V}{l^2}$

volume $V=5 ft^3$

Area of side wall is $A_s=l^2$

Area of top Wall $A_t=l\times h$

Area of bottom $A_b=l\times h$

Cost of bottom wall $c_b=20\times l\times h=20lh$

Cost of top wall $c_t=50\times l\times h=50lh$

Cost of side walls $c_s=4\times l^2\times 10=40l^2$

total cost $C=c_s+c_t+c_b=20lh+50lh+40l^2$

$C=70lh+40l^2$

$C=70\times l\times \frac{5}{l^2}+40l^2$

differentiate C w.r.t l to get minima or maxima

$\frac{\mathrm{d} C}{\mathrm{d} l}=0$

$-\frac{350}{l}+80l^2=0$

$l^3=\frac{350}{80}$

$l=1.627 ft$

$h=\frac{5}{2.648}$

$h=1.88 ft$

Dimension of Box is $1.627\times 1.627\times 1.88\ ft^3$

5 0

2 years ago

Can someone PLEASE tell me the answer to this

Serjik [45]

Answer:

third option is the correct answer

go with the names of the triangle

the triangles are HIJ and LMN

so the ratios will be accordingly

5 0

2 years ago

Read 2 more answers

Solve 5g = 20 Please and thank u

Greeley [361]

Answer:

g = 4

Step-by-step explanation:

5g = 20

Divide each side by 5

5g/5 = 20/5

g = 4

6 0

2 years ago

Read 2 more answers

Help please...........

Snezhnost [94]

Answer:

66.42° for Y

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4 0

2 years ago