Answer:
A. ✓34
Step-by-step explanation:
The lengths of the legs of a right triangle are 3 and 5, the length of the hypotenuse will be:
= (✓(3² + 5²)
= ✓(9 + 25)
= ✓34
Answer:
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is
⇒ B
Step-by-step explanation:
In similar rectangles, their corresponding dimensions are proportional, which means
=
, where L is the length and W is the width
∵ Rectangle ABCD is similar to rectangle MNOP
∴ Their dimensions are proportional
∵ The dimensions of rectangle ABCD are 6 m, 14 m
∴ L
= 14 and W
= 6
∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m
∴ L
= 10.5 and W
= 4.5
∵ The rectangle MNOP is the image of rectangle ABCD after dilation
→ To find the scale factor of dilation find the ratio between the
corresponding dimensions in the two rectangles (image/pre-image)
∵
=
= 
∵
=
=
∴ The scale factor for the dilation is
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is
Hey there!
To start, the domain of a function is the set of x values a function has, in other words, the values the function has on the x-axis.
In this function, the graph appears to have a function going on infinitely in both directions (left and right). Because of this, your domain in interval notation would be (-∞,∞)
**Your interval notation would be in parenthesis because you cannot include negative or positive infinity as one of your values since while your graph is approaching these values, it never really reaches it.
Hope this helps and have a wonderful day! :)
X=-3x+20
Add 3x to both sides to move the -3x over
4x=20
Then do 20 divided by 4
X=5