Answer: 58 1/3 yards
Step-by-step explanation:
From the question, we are informed that a football team has a net yardage of −28 1/3 yards on a series of plays and that the team needs a net yardage of 30 yards to get a first down.
The number of yards that they have to get on their next play to get a first down would be calculated as:
= 30 - -28 1/3
Note that minus × minus = plus
= 30 + 28 1/3
= 58 1/3 yards
Expand
(4a + 12 = 12 + 4a)
Cancel 4a on both sides
12 = 12
Since both sides are equal there are infinitely many solutions
Process of elimination, cross out d) no solution. But I would best go with C)
Answer:
4
Step-by-step explanation:
y = 4x + 12
In y = mx+b
The coefficient of x (m) is the slope.
So the slope is 4
<h3>How can she find the coordinates of the new point without graphing the point?</h3>
- If you know the coordinates of any two points on a straight line, you can compute its slope without looking at its graph. Every point has two coordinates: an x-value and a y-value, which are expressed as an ordered pair (x, y). The x value indicates the horizontal location of a point.
<h2>☆彡Hanna</h2>
#CarryOnLearning
Answer:
Cliff is 45 m tall.
Step-by-step explanation:
Given:
Height of Sarah = 1.8 m
Angle of elevation = 60°
Angle of elevation 50 m back = 30°
As shown in the figure we have two right angled triangles SPQ and SPR.
Let the height of the cliff be 
meters and 
.
Using trigonometric ratios:
tan (Ф) = opposite/adjacent
In ΔSPQ. In ΔSPR.
⇒ 
...equation (i) ⇒ 
...equation (ii)
Dividing equation (i) and (ii)
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
meters
To find 
plugging in equation (i)
⇒ 
⇒ 
⇒ 
meters
The height of the cliff from ground :
⇒
⇒ 
⇒ 
meters
The cliff is 45 m tall to the nearest meter.
