False
-3 is not greater than positive 3
Answer:it would take the plane 40 seconds
Step-by-step explanation:
if you multiply by two then you would be able to get 30
like 15 times 2 and since it’s 15 miles to 20 seconds or 15:20 you would have to multiply by the same number.
Answer:
The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False
The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False
Step-by-step explanation:
<em>Let us explain the reflection about the axes</em>
- If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign
Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)
- That means reflection about the x-axis change the sign of y
- y = f(x) → reflection about x-axis → y = -f(x)
- If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign
Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)
- That means reflection about the y-axis change the sign of x
- y = f(x) → reflection about y-axis → y = f(-x)
<em>Now let us answer our question</em>
The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.
It is False because reflection about x-axis change sign of y
The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis
The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.
It is False because reflection about y-axis change sign of x
The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis
Answer:
Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.
Step-by-step explanation:
If Warren went to the store with $41.5 and left with only $4 then the total amount he spent on the store was:
total spent = 41.5 - 4 = 37.5
Since he bought a brush, a sketchbook and a paint set we have:
brush + sketchbook + paint = 37.5
The prices of each item are related in the following manner:
brush = (1/6)*sketchbook
sketchbook = (3/4)*paint
brush = (1/6)*(3/4)*paint = (3/24)*paint = (1/8)*paint
Using these expressions on the one that represents the total value we will be abble to have only one variable, paint. We have:
(1/8)*paint + (3/4)*paint + paint = 37.5
(1/8)*paint + (6/8)*paint + (8/8)*paint = 37.5
(15/8)*paint = 37.5
paint = 37.5/(15/8) = 37.5*(8/15) = 20
brush = (1/8)*paint = (1/8)*20 = 2.5
sketchbook = (3/4)*paint = (3/4)*20 = 15
Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.
let each box length be 1
<em><u>for</u></em><em><u> </u></em><em><u>white</u></em><em><u> </u></em><em><u>triangle</u></em>
area = ½bh
=½(4)(2)
=4
<em><u>f</u></em><em><u>o</u></em><em><u>r</u></em><em><u> </u></em><em><u>o</u></em><em><u>r</u></em><em><u>a</u></em><em><u>n</u></em><em><u>g</u></em><em><u>e</u></em><em><u> </u></em><em><u>t</u></em><em><u>r</u></em><em><u>i</u></em><em><u>a</u></em><em><u>n</u></em><em><u>g</u></em><em><u>l</u></em><em><u>e</u></em>
area=½(2)(3)
=3
<em><u>f</u></em><em><u>o</u></em><em><u>r</u></em><em><u> </u></em><em><u>b</u></em><em><u>l</u></em><em><u>u</u></em><em><u>e</u></em><em><u> </u></em><em><u>m</u></em><em><u>a</u></em><em><u>r</u></em><em><u>k</u></em><em><u>e</u></em><em><u>d</u></em><em><u> </u></em><em><u>b</u></em><em><u>o</u></em><em><u>x</u></em><em><u>e</u></em><em><u>s</u></em>
each of the box
area=l²
=(1)²
=1
there are 16 boxes
so the total area will be 16
total area of the hexagon = 4+3+16
=23 square units