Answer:
99/1 or 99 (proper fraction ig) or 99
Step-by-step explanation:
Slope= y2-y1/ x2-x1
100-1/-96-(-97)=99/1
99/1 or 99
Answer: 1680
Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.
The Hypotenuse Angle Theorem states that if one acute angle and the hypotenuse of the two right angled triangles are congruent then the triangles are congruent.
ADC is congruent to triangle CBA given that ∠D and ∠B are right angles and DC is parallel to AB.
Given: ∠D and ∠B are right angles
DC || AB
Prove: △ADC ≅ △CBA
STATEMENT REASON
1.∠D and ∠B are right angles 1. Given
2. ∠1=∠ 2 2. If lines are parallel, then alternate
Interior angles are equal
3. AC ≅ AC 3. Common to both △s
4. △ADC ≅ △CBA 4. Hypotenuse Angle Theorem
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Step-by-step explanation:
Q6
answer A, as x² is the regular parabolic curve up. and x²-3 just shifts this curve down by 3 units. and that is what we need, as the extreme point of the curve is a bit below the x-axis, and therefore has a negative y value.
Q7
answer C, as this curve is the complete opposite of the curve in Q6.
it is the regular parabolic curve but down. that means -x².
but the extreme point is a bit above the x-axis (and has therefore a positive y value). -x²+3 shifts the parabolic curve up by 3 units.
Q8
answer A again. the functional values are only positive (the whole curve is above the x-axis). so, C and D are therefore wrong.
and between A and B we need to remember, that a negative exponent means 1/...
in case of B 1/(2^x).
and that would mean for large positive x we would get very small values for y.
but we see the opposite. for large x we also get large y.
so, it is 2^x (answer A).