Answer:
The answer is 1
Step-by-step explanation:
Formula for finding the slope:
Take y2 and y1 from (4,<u>4</u>) (1,<u>1</u>)
Take x2 and x1 from (<u>4</u>,4) (<u>1</u>,1)
This is how the answer is 1
Hope it helps :)
Answer:
a) 74.3
b) 98.8
Step-by-step explanation:
The tenth decimal place is the first place immediately to the right of the decimal point. When rounding, you first need to look at the number to the right of the place you wish to find. If the number in this spot is 5 - 9, round the number in the tenth decimal place up one unit. If the number is 0 - 4, keep the number in the tenth decimal place the same. Finally, remove all of the numbers to the right of the tenth decimal place.
a) 74.3472
^ tenth
The next number to the right (4) is not big enough to round up
a) 74.3
b) 98.759
^ tenth
The next number to the right (5) is big enough to round up
b) 98.8
Answer to problem 1 is (9,9)
Answer to problem 2 is (0,-4)
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Explanation:
To find the component form, they basically want the translation rule. To find the translation rule, we subtract the coordinates tip - head
In general, if we have two vectors M and N such that
M = (a,b)
N = (c,d)
then
vector MN = (c-a, d-b)
Applying this to the vector CD gives us
vector CD = (7-(-2), 10-1) = (7+2, 10-1) = (9, 9)
Basically meaning that we shift point C nine units to the right and nine units up to get to point D
Similarly,
vector RS = (-4-(-4), -3-1) = (-4+4, -3-1) = (0,-4)
so we shift point R four units down to get to point S
Question isnt well formatted :
Answer:
1 : 6
Step-by-step explanation:
Given the question :
3x = 1/2y
3x = y/2
Multiply both sides by 2
3x * 2 = y/2 * 2
6x = y
This can be interpreted as :
y = 6 times the value of x
x = y/6
x : y
1 : 6
Answer:
Step-by-step explanation:
Inequality given for Sara,
-4(2x + 4) > 8x + 64
-8x - 16 > 8x + 64
-8x - 8x > 16 + 64
-16x > 80
-x > 5
x < -5
x = -12 will be the answer.
Option (3)
Inequality for Alezandro,
7x + 20 ≥ 2(x - 15)
7x + 20 ≥ 2x - 30
7x - 2x ≥ -30 - 20
5x ≥ -50
x ≥ -10
Therefore, x = 2 is the answer.
Option (2)
For Daria,
3(x - 17) < 9(1 - 3x)
3x - 51 < 9 - 27x
3x + 27x < 51 + 9
30x < 60
x < 2
x = -6 will be the answer.
Option (1)
For Jamal,
5(x + 11) > -4(-x - 12)
5x + 55 > 4x + 48
5x - 4x > 48 - 55
x > -7
x = 10 will be the answer.
Option (4)