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Gnom [1K]
2 years ago
9

X=-7y+5 5x=4y=-6 solve by substitution

Mathematics
1 answer:
lyudmila [28]2 years ago
4 0
5x (-7)y=4
y=-4/35
5x=4
x=4/5
(x, y) = (4/5, 4/35)
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Which of the following describes the zeroes of the graph of f(x)= -x^5+9x^4-18x^3
Elina [12.6K]

Answer:

-x^5+9x^4-18x^3=0\\-x^3(x^2-9x+18)=0\\-x^3(x-3)(x-6)=0\\\\\\\\x=0\\x=3\\x=6

4 0
3 years ago
What are the measurements of the sides of a pentagon that has the area of 32?
LenaWriter [7]

Answer:

4.31 units

Step-by-step explanation:

A pentagon is a polygon with five straight sides.

The formula to apply here will be finding area from side length, assuming that this is  a regular pentagon with five sides of equal length.

Lets take each side length to be x units

Divide the pentagon into five triangles by joining a line from the center to any vertex of the pentagon.

Now you have five equal triangle.Take the base triangle and divide it into two(take a line from center of pentagon to hit the base at 90°)

This will divide the base triangle of length x unit into two equal triangles with base length x/2 units.

The angle at the pentagon center for the small formed triangle will be 36°. Here you have a triangle with base x/2 units and angle 36° at top center.

To get the height of the triangle you apply formula for tangent of an angle;

height, h=0.5x /tan 36°

Find area of the small triangle;

Area=1/2 *b*h

where b is base length=0.5x and h is height = 0.5x/tan 36°

Area=1/2*0.5x * (0.5x /tan 36°) Area for one small triangle.

However, you notice that you will have 10 small triangles for the whole pentagon, hence multiply this area by 10 which should be equal to the area of the pentagon given 32.

32=1/2 * 0.5x *(0.5x /tan 36°) *10

32=1.25x² /tan 36°

32*0.7265=1.25x²

18.60=x²

√18.60=x

4.31=x

Measurement of one side is 4.31 units

3 0
3 years ago
Paulie ordered 250 pens and 250 pencils to sell for a theatre club fundraiser. The pens cost 11 cents more than the pencils. If
Korolek [52]
Remember that cents has a decimal when put in an equation.
250(x + 11) + 250x = 4250
250x + 2750 + 250x = 4250
500x + 2750 = 4250
500x = 1500
x = 3 cents (pencils)
x+11 = 14 cents (pens)
4 0
3 years ago
I'm marking brainiest if you help me :)
inn [45]

Answer:

the possible line of best fit equation is;

y = 10x + 24

Step-by-step explanation:

Here, we want to get the approximate line of best fit

Mathematically, we have the general line of best fit as

y = mx + b

where m is the slope and b is the y-intercept

By joining the given lines, we can see that the y-intercept values fall a little below 30

This means that the possible y-intercept value is 24

Now, to get the slope value, we select any two points and use the slope equation

We can have (3,50) and (6,80)

Using the slope equation;

m = (y2-y1)/(x2-x1) = (80-50)/(6-3) = 30/3 = 10

The equation is thus;

y = 10x + 24

8 0
3 years ago
An angle that measures between 90 and 180° is called a(n)___angle,
ololo11 [35]

Answer:

Obtuse

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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