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2 years ago

7

Please help quick it’s a test

1 answer:

disa [49]2 years ago

8 0

The rate must be in DECIMAL form and the time must be in YEARS

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3. Find the difference between the two expressions.<br> 1x - 5y)-1(x + 2y)

Fittoniya [83]

Answer:

$-7y$

Step-by-step explanation:

Our equation is:

$\left(1x-5y\right)-1\left(x+2y\right)$

First we dritribute

Now we have, $x-5y-x-2y$

$Combine$ light terms

and we get $-7y$

5 0

3 years ago

If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2

alukav5142 [94]

Answer:

The transformed points of the triangle ABC are $A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)$ , $B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)$ , $C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)$

Step-by-step explanation:

The new points after applying the scale factor are, respectively:

$A' (x,y) = \frac{1}{2}\cdot (1,1)$

$A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)$

$B' (x,y) = \frac{1}{2}\cdot (9,1)$

$B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)$

$C'(x,y) = \frac{1}{2}\cdot (1,9)$

$C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)$

7 0

3 years ago

What is the other endpoint if one endpoint is (10,12) and the midpoint is (6,9).?

Lubov Fominskaja [6]

Answer:

$(2,\, 6)$ .

Step-by-step explanation:

Let $(x_{0},\, y_{0})$ and $(x_{1},\, y_{1})$ denote the two endpoints.

The formula for the midpoint of these two points would be:

$\displaystyle \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)$ .

(Similar to taking the average of each coordinate.)

In this question, it is given that $x_{0} = 10$ whereas $y_{0} = 12$ . Substitute these two values into the expression for the coordinate of the midpoint:

$x$ -coordinate of the midpoint: $\displaystyle \frac{10 + x_{1}}{2} = 6$ .
$y$ -coordinate of the midpoint: $\displaystyle \frac{12 + y_{1}}{2} = 9$ .

Solve these two equations for $x_{1}$ and $y_{1}$ : $x_{1} = 2$ whereas $y_{1} = 6$ .

Hence, the coordinate of the other point would be $(2,\, 6)$ .

4 0

2 years ago

when a car speed is 24 km/hr a journey takes 80 minutes what must the speed be for the same journey to take 60 minutes?

Mariana [72]

Answer:

32 km/ hr

Step-by-step explanation:

Given that :

Speed of car = 24km/ hr

Time taken =. 80 minutes = 80 / 60 = 1.33333 hours

The distance traveled :

Speed * time

24 km/hr * 1.333333 = 32 km

Speed required to complete 32 km. Journey in 60 minutes = 1 hour

Speed = distance / time

Speed = 32 km / 1 hour

Speed = 32 km/ hr

5 0

3 years ago

Write a function rule for the volume of the cylinder shown at the right with a height 3 in more than 4 times the radius of the c

Ludmilka [50]

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

r is the radius of the base

h is the height of the cylinder

In this problem

$h=3+4r$

For $r=2\ in$

<u>Find the value of h</u>

$h=3+4*2$

$h=11\ in$

<u>Find the volume of the cylinder</u>

$V=\pi*2^{2}*11$

$V=44*\pi\ in^{3}= 138.2\ in^{3}$

therefore

<u>the answer is</u>

The volume of a cylinder is equal to $138.2\ in^{3}$

8 0

2 years ago

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