-1 because y-intercept is where y meets zero, therefore the y intercept of this graph would be -1<3
Answer:
Step-by-step explanation:
10 ÷ 5 = 2 x6 = 12
We are given order pairs (x,y) as (Number of steps, Number of feet).
On the given graph, order pairs are :
(2,6)
(4,12)
(6,18)
(8,24)
(10,30).
We need to find the the number of feet Jorge walks in 3 steps.
<em>Rate of number of feet per number of step is (12-6)/(4-2) = 6/2 = 3.</em>
In order to find the number of feet Jorge walks in 3 steps, we need to multiply 3 by rate.
Therefore, 3 × 3 = 9.
<h3>Therefore, (3,9) ordered pair represents the number of feet Jorge walks in 3 steps.</h3>
Answer:
4^1/3 is greatest among the given
Step-by-step explanation:
√2 , 4^1/3 , 3^1/4
Find the LCM of 2, 3 , 4= 12
i ) √2 =2^1/2 = 2^6/12=(2^6)^1/12
= (64)^1/12
ii ) 4^1/3 = 4^4/12 = (4^4)^1/12
= (256)1/12
iii )3^1/4 = 3^3/12 = ( 3³ )^1/12
= (27)^1/12
Therefore ,
(256)^1/12 > (64)^1/12 > (27)^1/12
4^1/3 > 2^1/2 > 3^1/4
4^1/3 is greatest among the given
number
Answer:
∠ 1 = 123°
Step-by-step explanation:
One way
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an external angle of the triangle, thus
∠ 1 = 90° + 33° = 123°
Second way
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for third angle in Δ
third angle = 180° - (90 + 33)° = 180° - 123° = 57°
The third angle and ∠ 1 form a straight angle and are supplementary, thus
∠ 1 = 180° - 57° = 123°
