X=-10
X=1
X=15
we have the function
we know that
The zero's of the function are the values of variable x when the value of the function is equal to zero
so
in the given function the zero's are
therefore
the answer is
Answer:
use distance formula and solve it
Step-by-step explanation:
this formula is in co ordinate geometry class 10 ncert book
Answer:
5 sqrt(10) square units
Step-by-step explanation:
The coordinates of the points A, B, and C are (-6,-2), (2,-8), and (-4,-6), respectively.
To find the area of a triangle, we can use the following formula:
Area of a triangle = 1/2 * base * height
We can use the distance formula to find the length of the base, which is AB:
Substituting the coordinates of A and B, we get:
Now, we need to find the height of the triangle. The height of a triangle is the perpendicular distance from a vertex to the opposite base. In this case, we can draw a perpendicular line from C to AB:
[Image of triangle ABC with line segment CD drawn perpendicular to AB]
The length of CD is the height of the triangle. We can use the distance formula to find the length of CD:
Now, we can find the area of the triangle:
Area of triangle ABC = 1/2 * base * height = 1/2 * 10 * sqrt(10) = 5 * sqrt(10)
Therefore, the area of triangle ABC is 5 square roots of 10 square units.
NOTEIFYOUFINDTHISANSWERUSEFULLINANYWAYTHENPLEASECONSIDERGIVE5STARTANDNOTFORGETTOMAEKASBRAINIST.THISSMALLSTEPSEEMSEASYBUTHAVEAGREATIMPACTONSOMEONE.
B. <HIJ congruent to <JLK by SAS
D. <HIJ congruent to <LKJ by SAS
Similar triangles may or may not be congruent.
The true statement is: A. <HIJ congruent to <LKJ by ASA
The given parameters are:
The above highlights imply that:
This means that, the angle at point J in both shapes are also congruent.
By that, the two shapes have two congruent angles and one congruent side.
So, we can conclude that, triangles HIJ and LKJ are congruent by ASA theorem of similar triangles
Hence, (a) is true
Read more about similar and congruent triangles at:
Urgent
thankssss
Q2 Answer: Experimental = 60%, difference = 10%
Step-by-step explanation:
The prime numbers between 1 and 8 are: 2, 3, 5, and 7.
Theoretical:
Experimental:
Experimental - Theoretical
= 60% - 50%
= 10%
Problem 1
To find the sample mean, we simply add up all the 40 items and then divide by 40
I will add up the values row by row, and then add up the subtotals to get the grand total
row1: 39+31+38+40+29 = 177
row2: 32+33+39+35+32 = 171
row3: 32+27+30+31+27 = 147
row4: 30+29+34+36+25 = 154
row5: 30+32+38+35+40 = 175
row6: 29+32+31+26+26 = 144
row7: 32+26+30+40+32 = 160
row8: 39+37+25+29+34 = 164
Add up the subtotals: 177+171+147+154+175+144+160+164 = 1292
Divide this over 40: 1292/40 = 32.2
So the sample mean is therefore 32.2
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To find the proportion of defective items, we count the number of times a value less than 26 shows up. That happens exactly two times. The first in row 4 (at the end of this row) is where a 25 shows up. Another copy of 25 shows up in row 8 (bottom row). There are no other values that are less than 26.
Divide this count (2) over the total sample size (40) and we get 2/40 = 1/20 = 0.05
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In summary, 32.2 will go in the first box while 0.05 will go in the second box.
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Problem 2
There are 4 values we want (2,3,5,7) out of 8 total (1,2,3,4,5,6,7,8) so 4/8 = 0.50 = 50% is the theoretical probability
This is the list of values given to us (I broke it up to help make the numbers more readable)
3, 4, 5, 2, 7
1, 3, 7, 2, 6
2, 1, 7, 3, 6
1, 8, 3, 5, 6
Of that list, the primes {3, 5, 2, 7, 3, 7, 2, 2, 7, 3, 3, 5} show up. There are 12 primes in this list out of 20. So the experimental probability is 12/20 = 3/5 = 0.60 = 60%
Therefore, the answer that goes in the "experimental probability" box is 60. The answer that goes in the second box is not 50%. I think your teacher is aiming for "10" to go in the second box because 60% is 10 percentage points higher than 50% (which was the theoretical probability found earlier)
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In summary, 60 will go in the first box while 10 will go in the second box.