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3 years ago

NEED HELP ASAP !!!!

Mathematics

1 answer:

polet [3.4K]3 years ago

7 0

Answer:

i cant see the picture

Step-by-step explanation:

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If f(x)=l 2x-4 l, find f(-7).

Ierofanga [76]

Answer:

f(-7) = 18

Step-by-step explanation:

Add AbS in calculator

2(-7) = -14 (AbS) -> 14

-4 -> (AbS) = 4

14+4 = 18

7 0

3 years ago

a) six pens and five pencils cost $2.50 while three pens and two pencils cost $1.15 . what will be the cost of a pen and 4 penci

melisa1 [442]

Let pen's cost be x and pencil's cost be y.

6x + 5y = 2.50
3x + 2y = 1.15

Thus, 3x = 1.15 - 2y
Therefore, 6x = 2.30 - 4y

Substituting the value of 6x ;

(2.30 - 4y) + 5y = 2.50

or, 2.30 + y = 2.50

=> y = 0.20.

Substituting the value of y ;

6x = 2.30 - 4(0.20)
6x = 2.30 - 0.80 = 1.5
6x = 1.5
=> x = 0.25

Thus, 1 pen costs 0.25 $ and 1 pencil costs 0.20$.

Thus, cost of one pen is 0.25$.
Cost of 4 pencils is 0.80 $

0.25$ + 0.80$ = 1.05$

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=5%20%3C%203%20%2B%20w" id="TexFormula1" title="5 < 3 + w" alt="5 < 3 + w" align="absmidd

Natalija [7]

5-3 < w
2 < w
Hence, w is bigger than 2

3 0

4 years ago

First, the triangle is dilated by a scale factor of 1/3 about the origin. Then the triangle is reflected over the x-axis. Finall

musickatia [10]

Answer:

$(\frac{1}{3}x - 3,-\frac{1}{3}y+2)$

Both triangles will be similar

Step-by-step explanation:

See comment for complete question.

Given

Let the coordinates of the triangle be T(x,y)

First transformation: Dilation by 1/3

The new points will be:

$T' = \frac{1}{3}(x,y)$

$T' = (\frac{1}{3}x,\frac{1}{3}y)$

Second: Reflection over the x-axis

When a point (x,y) is reflected over the x-axis, the new point is (x,-y).

So, we have:

$T'' = (\frac{1}{3}x,-\frac{1}{3}y)$

Third: Translation 3 units left and 2 units up.

When a point (x,y) is translated b units left and h units up, the new point is (x - b,y+h).

In this case:

$b = 3$ and $h = 2$

So, we have:

$T''' = (\frac{1}{3}x - 3,-\frac{1}{3}y+2)$

Hence, the coordinate of the new triangle will be: $(\frac{1}{3}x - 3,-\frac{1}{3}y+2)$

<em>Additionally, both triangles will be similar because all the transformation done are rigid transformations i.e. Dilation, Reflection and Translation</em>

4 0

3 years ago

Find the perimeter of the triangle whose vertices are the following specified points in the plane. (4,−7),(−10,−4) and (3,−7)

polet [3.4K]

Answer:

√205 +√178 +1 ≈ 28.6595

Step-by-step explanation:

The distance formula tells you the distance between points (x1, y1) and (x2, y2) is ...

d = √((x2 -x1)^2 +(y2-y1)^2)

Taken pairwise, the distances between the given points are ...

d1 = √((-10-4)^2 +(-4-(-7))^2) = √(196+9) = √205

d2 = √((3-(-10))^2 +(-7-(-4))^2) = √(169+9) = √178

d3 = √((4-3)^2 +(-7-(-7))^2) = √1 = 1

Then the sum of the distances gives the perimeter:

P = d1 +d2 +d3 = √205 +√178 +1 ≈ 28.6595

_____

In the attached figure, the distance "a" is the sum of the two long sides of the triangle.

3 0

3 years ago