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nirvana33 [79]
2 years ago
12

Simplify by combining like terms. Type the terms in alphabetical order. -7a-2y+7+2y+5a=

Mathematics
1 answer:
alexira [117]2 years ago
3 0

- 2a + 7

...............

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Find the equation of the circle with center at (-1, 3) and radius of 4.
Nataly [62]

Answer:

(x+1)^2 + (y-3)^2 = 16

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

(x--1)^2 + (y-3)^2 = 4^2

(x+1)^2 + (y-3)^2 = 4^2

(x+1)^2 + (y-3)^2 = 16

7 0
2 years ago
The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi
Rom4ik [11]

Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

\displaystyle A=\frac{bh}{2}

\displaystyle A=\frac{(h+9)h}{2}

And its value is 180:

\displaystyle \frac{(h+9)h}{2}=180

Multiplying by 2:

(h+9)h=360

Operating:

h^2+9h-360=0

Factoring:

(h-15)(h+24)=0

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0
3 years ago
Need help with this math problem
elena-14-01-66 [18.8K]

Answer:

Sangayko venchitra ko asalokan gari nimna samuhko ganatmak sankhya Pata lagaunuhos

N(A)

3 0
2 years ago
If f(x) = –3x – 2, what is f(–5)?
Step2247 [10]
F(x) = -3x - 2
f(-5) = -3(-5) -2 = 15 - 2 = 13
3 0
2 years ago
On Chris's birthday in 1992, he was half the age of his brother Joseph. On Chris' birthday in 1998, he was two-thirds the age of
aev [14]
Suppose in 1992 Chris was x years old, his brother was then 2x years old.
6 years later in 1998, Chris is (x+6) years old, his brother is (2x+6), 
(x+6)=(2/3)(2x+6)
x+6=(4/3)x+4
(4/3)x-x=6-4
(1/3)x=3
x=6
in 1992, Chris was 6, so in 2018 he will be 6+(2018-1992)=32 years old. 
7 0
3 years ago
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