HELP ASAP<br><br> 8^2 – 10x - 3<br><br> NEED ALL STEPS PLZZZZ

Would the scale factor 4.2 enlarge,reduce,or preserve

Juli2301 [7.4K]

Hey there! I'm happy to help!

Let's look at what scale factors would be able to enlarge, reduce, and preserve first. We will use the point (1,1) as an example.

ENLARGE

When we talk about scale factors, both of our numbers of the ordered pair will be multiplied by that number. To make it bigger, we will multiply it by anything larger than a one, we could have a scale factor such as 2, 100, 579395. etc.!

Dilation of 2

(1,1)⇒(2,2)

REDUCE

To reduce our ordered pair, our scale factor must be a number greater than zero but less than one because it cannot switch quadrants, which is what would happen if we used negative numbers. Our reduced number must be greater than zero. We can use 1/2, 1/4, 1/100, 0.67 etc.

Dilation of 1/2

(1,1)⇒(0.5,0.5)

PRESERVE

What would we multiply an ordered pair by to make it stay the same? One of course! This is the only number that will keep it the same!

Dilation of 1

(1,1)⇒(1,1)

Now, let's think of any scale factor as X and see what rules it has to follow to be enlarging, reducing, or preserving.

ENLARGING SCALE FACTOR: X>1

REDUCING SCALE FACTOR: 0<X<1

PRESERVING SCALE FACTOR: X=1

So, where does 4.2 fall? Well, as you can see, 4.2 is greater than one, so this scale factor would make our point larger.

Therefore, 4.2 would enlarge.

I hope that this helps! Have a wonderful day!

8 0

3 years ago

The surface area of the solid is about ____ inches squared

Dafna11 [192]

Answer:

Surface area of the whole figure $= 320.28inch^2$

Step-by-step explanation:

The surface area of the figure :

Surface area of the cylinder(excluding top)+Surface area of the cone(excluding bottom)

Radius of the cylinder=3 inch and Height of cylinder=13 inch

Surface area of the cylinder with one circular face

$=2\pi rh+\pi r^2$

As, $\pi =\frac{22}{7}= 3.14$

$=(2*3.14*3*13)+(3.14*3*3)\\\\=244.92+28.26\\\\=273.18inch^2$

Surface area of the cone excluding base:

$=\pi *r*l$

l= slant height=5 inch r= radius= 3 inch

Surface area of the cone = $3.14*3*5$

$=47.1inch^2$

Total surface area of the whole figure $=273.18+47.1$

$= 320.28inch^2$

5 0

3 years ago

If u = 8 + 4i and v = 3i + 6, then what is u – v?

lozanna [386]

$u=8+4i\ and\ v=31+6\\\\u-v=(8+4i)-(3i+6)=8+4i-3i-6=(8-6)+(4i-3i)\\\\\huge\boxed{=2+i}\leftarrow \boxed{d}$

7 0

3 years ago

Chi has a rectangular window planter that is 8 inches high, 18.5 inches long, and 7 inches wide. If she fills the planter halfwa

Ghella [55]

Your answer would be 518 Cubic inches.

18.5 * 7 = 129.5
129.5 * 8 = 1036 (Full planter aka not what we want)
If we take the height and divide it be 2 then we would get 4in (halfway full)
So 129.5 * 4 = 518 Cu.

I hope I helped!

4 0

3 years ago

The sum of x and 3/5 is 5/7

lord [1]

x = 5/7 - 3/5 = 25/35 - 21/35 = 4/35

3 0

3 years ago

HELP ASAP 8^2 – 10x - 3 NEED ALL STEPS PLZZZZ