Answer:
area of the garden as a polynomial in standard form = 2t² + 7t - 4
The dimension will be 8 ft by 7 ft.
Step-by-step explanation:
The area of a rectangular shape is the product of the length and the width. Ms Ahmed rectangular garden with a length represented as t + 4 and width of 2t - 1 , the area of the garden can be solved by multiplying both value.
Area of the garden = (t + 4)(2t - 1)
Area of the garden = 2t² - t + 8t - 4
Area of the garden = 2t² + 7t - 4
Expressing the area as a polynomial in standard form simply implies that the terms are express from the biggest exponent tot he lowest exponent. Therefore,
area of the garden as a polynomial in standard form = 2t² + 7t - 4
When the area is 56 ft².
2t² + 7t - 4 = 56
2t² + 7t - 4 - 56 = 0
2t² + 7t - 60 = 0
fin the numbers you can multiply to give you -120 and add to give you 7. The numbers are 15 and -8. Therefore,
2t² + 15t - 8t - 60 = 0
t(2t + 15) -4(2t + 15) = 0
(t - 4)(2t + 15) = 0
t = 4 or -15/2
let use t = 4 as it is positive .
area = (t + 4)(2t - 1)
area = (4 + 4 )(8 - 1)
area = 8 × 7 = 56 ft²
The dimension will be 8 ft by 7 ft.
Answer:
B. The expression has 4 factors and 0 constants.
Step-by-step explanation:
To be more elaborate, let's take the different parts of the expression
4ab(c+3)
The factors separately are:
4
a
b
(c+3)
Factors are numbers or expressions that produce a givens product.
Looking at the expression we can rewrite it as:
4 x a x b x (c+3)
The overall value with be the product of all the factors.
Answer:
d
Step-by-step explanation:
C is the center of a circle. Find the length of arc AB to two decimal points
Remark
It is not a straight line distance from the park to the mall. None of the answers give you that result. And if you know what displacement is, none of the answers are really displacement either. The distance is sort of a "as the crow flies." distance. There's a stop off in the middle of town.
Method
You need to use the Pythagorean Formula twice -- once from the park to the city Center and once from the city center to the mall.
Distance from the Park to the city center.
a = 3 [distance east]
b = 4 [distance south]
c = ??
c^2 = 3^2 + 4^2 Take the square root of both sides.
c = sqrt(3^2 + 4^2)
c = sqrt(9 + 16) Add
c = sqrt(25)
c = 5
So the distance from the park to the city center is 5 miles
Distance from City center to the mall
a = 2 miles [distance east]
b = 2 miles [distance north]
c = ??
c^2 = a^2 + b^2 Substitute
c^2 = 2^2 + 2^2 Expand this.
c^2 = 4 + 4
c^2 = 8 Take the square root of both sides.
sqrt(c^2) = sqrt(8)
c = sqrt(8) This is the result
c = 2.8
Answer
Total distance = 5 + 2.8 = 7.8
<span>-4(6+n)+3=36
-24 -4n + 3 = 36
-4n -21 = 36
-4n = 36 + 21
-4n = 57
n = -57/4
n = -14.25</span>