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kati45 [8]
3 years ago
8

Help please i really need help

Mathematics
1 answer:
Andre45 [30]3 years ago
3 0

Answer:16 is x

Step-by-step explanation:

this is a equilateral triangle witch means the sides are the same. 3x is more than 2x so they put - 8 to get to 2 x and 8 times 2 is 16 and there you go.

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4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
Natalka [10]

The zeros of

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

are

x=0,x=-2,x=-5x=0,x=−2,x=−5

EXPLANATION

The given function is

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

To find the zeros of the above function, we just have to equate the function to zero and solve for x.

x(x + 2)(x + 5) = 0x(x+2)(x+5)=0

This implies that,

x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0

x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5

To graph the above function, we need to consider the multiplicity.

We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.

We also need to consider the position of the graph on the following intervals,

x < - 5x<−5

When

x = - 10x=−10

y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0

The graph is below the x-axis.

- 5 \: < \: x \: < \: - 2−5<x<−2

When

x = - 3x=−3

y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0

The graph is above the x-axis.

- 2 \: < \: x < \: 0−2<x<0

when

x = - 1x=−1

y = -1(1)(4) \: < \: 0y=−1(1)(4)<0

The graph is below the x-axis.

Finally the interval,

x \: > \: 0x>0

when

x = 1x=1

y = 1(3)(6) \: > \: 0y=1(3)(6)>0

The graph is above the x-axis.

We can now use the above information to sketch graph as shown in the diagram above

3 0
2 years ago
1/6 + 7/9 + _____ = 1
Leona [35]

Answer:

\frac{1}{18}

6 0
2 years ago
Read 2 more answers
A rectangle and an equilateral triangle have the same perimeter
PtichkaEL [24]

Answer:

A rectangle and an equilateral triangle have the same perimeter

The perimeter of the rectangle is 2x+2(3x-1) inches

The perimeter of the equilateral triangle is 3(x+1) inches

Solve the value of x and the perimeter of each figure

4 0
1 year ago
Ignore the stuff around it ,could someone explain me this?
Ierofanga [76]

Answer:

The lines blue and green are perpendicular

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope of the blue line

we have the points

(-1,-3) and (0,3)

substitute

m=\frac{3+3}{0+1}

m=\frac{6}{1}=6

step 2

Find the slope of the red line

we have the points

(3,-3) and (4,2)

substitute

m=\frac{2+3}{4-3}

m=\frac{5}{1}=5

step 3

Find the slope of the green line

we have the points

(-4,-1) and (2,-2)

substitute

m=\frac{-2+1}{2+4}

m=-\frac{1}{6}

step 4

Compare the slopes

Blue line ----> m=6

Red line ----. m=5

Green line ---> m=-\frac{1}{6}

so

The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)

therefore

The lines blue and green are perpendicular

7 0
3 years ago
Tank a has a capacity of 9.5 gallons. 6 1/3 gallons of the tank's water are poured out. how many gallons of water are left in th
Gnesinka [82]
Remaining water in the tank is (19/2-19/3) gallons = 57-38/6=19/6 =3 1/6 gallons
6 0
3 years ago
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