Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
Answer:
Step-by-step explanation:
we have a exponential function of the form
where
y is the population of bacteria
a is the initial value
r is the rate of growth
x is the number of hours
we have
a=3,000 bacteria
For x=2, y=3,300
substitute
Apply square root both sides
substitute in the equation
<u><em>Predict how many bacteria will be present after 16 hours</em></u>
For x=16 hours
substitute
Answer:
35/3x +200 = # of calories
Step-by-step explanation:
35/3 = calories burnt in 1 minute
x = minutes exercised for
add 200 to account for calories eaten
35/3x +200 = y
Answer: In the resulting equation: " a² - 12a + 32 = 0 " ;
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The "coefficient" of the "a" term is: " - 12" .
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The "constant" is: " 32 " .
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Explanation:
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Let: "a = x² + 4 " .
Given: (x² + 4)² + 32 = 12x² + 48 ;
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Factor: "12x² + 48" into " (x² + 4) " ;
"12x² + 48" = 12 (x² + 4) " ;
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Given: (x² + 4)² + 32 = 12x² + 48 ;
rewrite as; "a² + 32 = 12a " ;
Subtract "12a" from each side of the equation;
"a² + 32 - 12a = 12a - 12a ;
to get:
" a² - 12a + 32 = 0 " .
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The coefficient of the "a" term; that is:
The "coefficient" of " -12a" ; is: "- 12" .
The constant is: "32<span>" .
</span>___________________________________________________
Step-by-step explanation:
To find the slope intercept form of any equation using two points, you first need to find the slope. You can do this using the slope formula below.
m(slope) = (y2 - y1)/(x2 - x1)
In this equation, we find the slope by putting in the values we have given the points. The first point you have would be (x1, y1). So if your first point is (3, 1), you would put 3 in for x1 and 1 in for y1. Then you do the same for the second point using (x2, y2).
After you've solved that equation and got m, you can use point-slope form. Take your first point and your newly found slope and plug the values into the following equation.
y - y1 = m(x - x1)
After this, you can solve for y and that will be your slope intercept form.
