Answer:
Step-by-step explanation:
<h3>Garden A</h3>
<u>Rectangle with sides</u>
- Width ⇒ 2x - 3 feet
- Length ⇒ 5(2x - 3) = 10x - 15
<u>Perimeter is</u>
- 2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36
<h3>Garden B</h3>
<u>Triangle with sides</u>
<u>Perimeter is</u>
- 5x + 5 + 4x + 2 + 8x - 8 = 17x - 1
<h3>Statement 3</h3>
<u>The difference in perimeters is the difference is fencing:</u>
- 24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35
Since it is different from 7x - 37 the statement is FALSE
<h3>Statement 4</h3>
Garden A is surrounded by a path of 2.5 ft wide
It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft
<u>So the perimeter is going to be:</u>
This statement is TRUE
Answer:
Both Oscar and Kim will have enough to purchase the book.
Step-by-step explanation:
Oscar takes 30% of the normal price and subtracts it from the normal price. Out of 100% price he takes 30% so the result is: 100-30%= 70% of the normal price. Oscar's first step has the same result as Kim.
Oscar takes 10% of the discounted price (70%) and adds it back. The price will become 70% + 10%*70%= 77% of original price. Kim multiplies the discounted price with 110%, so the price will be: 70% * 110%= 77%. Both also give the same result.
The final price is 77% of the original, it will be: $28.50* 77%= $21.945
Oscar :
28.50 - 0.30(28.50) = 28.50 - 8.55 = 19.95
0.10(19.95) + 19.95 = 2 + 19.95 = 21.95
Kim :
0.7(28.50) = 19.95
1.10(19.95) = 21.95
Answer:
D. 
Step-by-step explanation:
There is a translation 1 point up along the y axis and a compression of 4.
Moving a function up (let's use <em>h</em> for the amount of points up) would change the function as so:
Meanwhile, the compression would modify x in this case. You can eliminate any answers (A. and B.) that have no modification to x, and eliminate C., as a fraction modification would actually widen the graph instead of compress it.
Hope this helps! :]
Answer:
a)The component form is
b)The magnitude is √65
c) <2,14>
Step-by-step explanation:
Recall that:
We substitute the position vectors to get:
We subtract the corresponding components to obtain:
This gives:
This simplifies to:
The magnitude of a vector in the component form:
is
This means:
This simplifies to:
c) We have the vectors u = <4, 8>, v = <-2, 6>.
We want to find:
u+v
This implies that:
u+v=<4,8>+<-2,6>
We add the corresponding components to get;
u+v=<4+-2,8+6>
This simplifies to:
u+v=<2,14>
Answer:
the answer is <u>A</u>
Step-by-step explanation:
