If P = a^2 + a - 1 and R = –a - 1, which expression represents P + R a) a^2 + 2
b) a^2 - 2
c) a^2 + 2a
d) a^2 + 2a - 2

Answers

Answer 1

Answer: $P=a^2+a-1;\ R=-a-1\n\nP+R=(a^2+a-1)+(-a-1)=a^2+a-1-a-1=a^2-2\n\nAnswer:b)$

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The congruent sides of an isosceles triangle are each 1 unit longer than the length of the shortest side of the triangle. The perimeter of the triangle is the same as the perimeter of a square whose side length is 2 units shorter than the length of the shortest side of the triangle. What is the length of the shortest side of the triangle?

Answers

The length of the shortest side of the triangle is 10cm.

It is given that congruent sides of an isosceles triangle are each 1 unit longer than the length of the shortest side, the perimeter of the triangle is the same as the perimeter of a square whose side length is 2 units shorter than the length of the shortest side of the triangle.

What is congruent triangle?

All three corresponding sides are equal and all the three corresponding angles are equal in measure.

Let's have the variable x be the length of the shortest side.

To equate to demonstrate this problem:

Longer sides of the triangle is (1+x)

Perimeter = (x-2)*4

Therefore, the equation is 4(x-2)=(1+x)+(1+x)+x

Simplify:

4x-8=2+3x

4x=10+3x

x=10

So, the length of the shortest side of the triangle is 10cm.

Learn more about congruent triangle here:

brainly.com/question/10546962

#SPJ5

So let's have the variable x be the length of the shortest side. Then, we make an equation to demonstrate this problem:
Longer sides of the triangle is (1+x)
Perimeter = (x-2)*4
Therefore, the equation is 4(x-2)=(1+x)+(1+x)+x
Simplify:
4x-8=2+3x
4x=10+3x
x=10

The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diameter of each circle is 5 feet. Approximately how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth. A.15.7 square feet

B. 19.6 square feet

C. 42.8 square feet

D. 78.6 square feet

Answers

Area of a circle is πr^2.

From this, we can calculate
π*2.5^2
= π*6.25
= 19.625
= 19.6

Answer:

I did the test the answer is 19.6 square feet

Step-by-step explanation:

8-1(x-y)=-3x+5 in standard form

Answers

standard form is
ax+by=c
get all x and y on one side

first distribute
-1(x-y)=-x+y

now weh have
8-x+y=-3x+5
add 3x to both sides
8+2x+y=5
minus 8 from both sides
2x+y=-3

Find the area of a trapezoid with bases of 15cm and 6 cm and a height of 1/5cm

Answers

area = 0.5 x (a+b) x h

= 0.5 x (15cm + 6cm) x 1/5cm
= 0.1 x 21cm
=2.1cm^2 (2.1 centimeters squared)

area is 0.5 x h x(a+b)

Alberto feeds his fish the same amount of food each day. a 2 ounce jar of fish food flakes has enough food for alberto to feed his fish for 100 days. how many ounces of food will alberto need for 110 days? explain

Answers

if 2-ounce jar of fish food is enough for 100 days then for 110 days you can say:
2/100 = ?/110
so ? is your ounce of food:
2 * 110/100 =11/5 = 2.2 ounce :)))
i hope this is helpful
have a nice day

John must pay a 8.25% tax on his bill. If the bill was $45, how much did he pay for taxes? (Round your answer to the nearest cent)