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3 years ago

Need help please and thank you

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Given:

Center (3.2, -2.1)

Radius = 4.3

To find:

The equation of the circle.

Solution:

The standard form of an equation of a circle:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where r is the radius and (h, k) is the center.

Here (h, k) = (3.2, -2.1) and r = 4.3

Substitute this in the standard form.

$(x-3.2)^{2}+(y-(-2.1))^{2}=(4.3)^{2}$

$(x-3.2)^{2}+(y+2.1)^{2}=(4.3)^{2}$

The equation of the circle is $(x-3.2)^{2}+(y+2.1)^{2}=(4.3)^{2}$ .

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Judith went shopping with $50 and spent $45. What percentage of her money did she spend?

juin [17]

Answer:

90%

Step-by-step explanation:

50x2=100, 45x2=90, if 45/50=90/100, thats your %

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3 years ago

Read 2 more answers

Write the equation in slope-intercept form. 5x + 5y = 35

vekshin1

Answer:

y = -x + 7

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

[Standard Form] 5x + 5y = 35

Step 2: Rewrite

Find slope-intercept form.

Subtract 5x on both sides: 5y = -5x + 35
Divide 5 on both sides: y = -x + 7

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3 years ago

An employee compiled sales data for a company once each month. The scatter plot below shows the sales (in multiples of $1000) fo

svp [43]

Answer:

940

Step-by-step explanation:

The scatter plot below shows the sales (in multiples of $1000) for the company over time (in months).

Also the sales can be modeled by the help of a linear function as:

y = 0.94x + 12.5.

Now we know that the company's sales increase per month is the slope of the linear function by which this situation is modeled.

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y=mx+c

'm' represents the slope and 'c' represents the y-intercept of the line.

Hence, by looking at the equation we get:

m=0.94

but as the sales are multiplied by 1000.

Hence,

0.94×1000=$ 940.

Hence, the company's sales increase per month is:

$ 940

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2 years ago

If $10,500 is deposited in a compound interest account paying 2.99% interest annually, how much will be in the account after 5 y

algol [13]

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3 years ago

P(x)=3x^2+12x+7 find coordinates of vertex and intercepts

kotegsom [21]

Te x intercepts are where the graph crosses the x axis or wher y=0
the y intercept is where the graph crosses the y axis or where x=0

to find vertex, here is a hack
the x coordinate of the vertex for an equation in form ax^b+bx+c=y is -b/2a

so
y=3x^2+12x+7
-b/2a=-12/2(3)=-12/6=-2
sub that back
y=3(-2)^2+12(-2)+7
y=3(3)-24+7
y=9-17
y=-8

vertex is (-2,-8)

intercepts
x intercept is where y=0

0=3x^2+12x+7
using quadratic formula
x=(-6-√15)/3 and (-6+√15)/3
xints at ((-6-√15)/3,0) and ((-6+√15)/3,0)

yint is where x=0
set x=0
y=7
yint is at y=7 or (0,7)

vertex at (-2,-8)
xints at x= $\frac{-6+ \sqrt{15} }{3}$ and $\frac{-6- \sqrt{15} }{3}$ or at the points $( \frac{-6+ \sqrt{15} }{3} , 0)$ and $(\frac{-6- \sqrt{15} }{3},0)$
yint at y=7 or at (7,0)

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2 years ago