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Brums [2.3K]
3 years ago
15

Factor z^2+7z-18 what is the factor expression?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
6 0

Answer:

z²+7z-18=0.

z²+9z-2z-18=0.

(z²+9z)-(2z-18)=0.

z(z+9)-2(z+9)=0.

(z-2)(z+9)=0.

(z-2)=0 or (z+9)=0.

z-2=0 or z+9=0.

z=2 or z=-9.

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A city receives an average rainfall of 16.99 centimeters in August one year during the month of August 15th then it rained anoth
AveGali [126]

Answer:

See explanation above

Step-by-step explanation:

This problem is very similar to one I solved a few moments ago. First we need to know how much it rain during the month of august the first 15 days of august. We only know how much it rain from the 15th through the end of the month.

So if you want to know the total rainfall of the month, you only need to sum the amount of the rainfall from the first 15 days of august and the last days of the month.

To help you out, I will use the same data of the other problem, which was 8.33 cm for the first 15 days, and 4.65 for the last 15 days of august.

If you sum 8.33 and 4.65:

8.33 + 4.65 = 12.98 cm

This would be (theorically speaking) the total rainfall during this month. Now, if it's the same exercise that you have, then good, use this answer, but if it's not then, all you need to do is put the value for the first 15 days and do the sum with 4.65 cm to get the total.

4 0
4 years ago
Which figure is the image produced by applying the composition t 0,3 r 0,90 to figure R?
Maksim231197 [3]

Answer:

Option A is correct

The only figure after composition of t_{0 , 3} (r_{0,90^{\circ}}) to figure R is Figure H

Step-by-step explanation:

From the given figure in R;

The coordinates in Figure R ;

(1 , -1) , (2, -2) ,(4, -2) ( 0, -4)

Composite function defined as when one function is substituted into another function.

To Apply the composition t_{0 , 3} (r_{0,90^{\circ}}) to figure R;

First apply the Reflection r_{0, 90^{\circ}} in Figure R;

The rule of reflection is given by:

(x,y) \rightarrow (-y,x)

By applying the rule of reflection in Figure R ,

then, the coordinates becomes;

(1 , -1) \rightarrow (1, 1)

(2 , -2) \rightarrow (2, 2)

(4 , -2) \rightarrow (2, 4)

(0, -4) \rightarrow (4, 0)

Now, apply the translation t_{0,3}

Translation : It is a type of transformation that moves each point in a figure the same distance in the same direction.

then,

the rule of translation is:

(x,y) \rightarrow (x+0,y+3)

Apply the rule of translation on coordinates (1,1) , (2,2),  (2,4) and (4,0)

then

(1 , 1) \rightarrow (1+0 1+3) =(1,4)

(2, 2) \rightarrow (2+0 2+3) =(2, 5)

(2, 4) \rightarrow (2+0 4+3) =(2 ,7) and

(4, 0) \rightarrow (4+0 0+3) =(4 ,3)

Then, the only figure after composition of t_{0 , 3} (r_{0,90^{\circ}}) to figure R is Figure H





7 0
4 years ago
Read 2 more answers
Express the radical using the imaginary unit, i sqrt{-27}
inn [45]

Answer:

27i

Step-by-step explanation:

Since we define <em>i</em> as \sqrt{-1}, \sqrt{-27} = 27i

5 0
2 years ago
Read 2 more answers
Find the perimeter of the square shown below:<br> Area = 49 cm2 plz!! It’s due in 5 minutes!!!!!!!
Stella [2.4K]

Answer:

28 cm

Step-by-step explanation:

If the shape is a square, all the sides are equal. To find the area you multiply the length by the width. Since the area is 49 centimeters, find the square root of 49 to find the length of the length and the height of the square, which is 7. To find perimeter, you add the lengths of all the sides of the square. 7+7+7+7=28.

8 0
3 years ago
WORTH 25 POINTS!!!!!!!!!!!!!!!!!!!!
Zepler [3.9K]
70%=70/100=7/10

what you do is shade 7 of the squares and say that is 21
now each square is worth the same
so 21/7=3
each square is worth 3

10 squares
3 times 10 is 30
the number is 30
see diagram

5 0
3 years ago
Read 2 more answers
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