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raketka [301]
2 years ago
13

What is 4x+ 9y +3 (x+y) simplified?

Mathematics
1 answer:
RoseWind [281]2 years ago
8 0

Answer:

7x+12y

Step-by-step explanation:

Simplify

4x+9y+3(x+y)

<em>Use the distributive property to multiply 3 by x+y. </em>

4x+9y+3x+3y

<em>Combine 4x and 3x to get 7x. </em>

7x+9y+3y

<em>Combine 9y and 3y to get 12y. </em>

7x+12y

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27a+21 i need to solve thi problem help me
Anika [276]
That's an expression, so the only thing you can do is simplify it, but that already looks simplified.
8 0
3 years ago
Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to
Solnce55 [7]

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center (x_0,y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In this problem, we have that the center is at point (0,2), hence:

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

It goes through point (3,3), hence:

3^2 + (3 - 2)^2 = r^2

r^2 = 10

Hence, the equation is:

x^2 + (y - 2)^2 = 10

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))

Applying implicit differentiation, we have that:

2x + 2y\frac{dy}{dy} = 0

\frac{dy}{dx} = -\frac{x}{y}

Point W(3,3), hence:

(x_0, y_0) = (3,3)

\frac{dy}{dx} = -\frac{3}{3} = -1

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

5 0
2 years ago
True or false in Florida, the number of alcohols related traffic deaths increased in 2009 compared to 2008
NeX [460]
False, they actually decreased some.
3 0
3 years ago
Land's Bend sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the intern
nata0808 [166]

Answer:

−35.713332 ; 0.313332

Step-by-step explanation:

Given that:

Sample size, n1 = 11

Sample mean, x1 = 79

Standard deviation, s1 = 18.25

Sample size, n2 = 18

Sample mean, x2 = 96.70

Standard deviation, s2 = 20.25

df = n1 + n2 - 2 ; 11 + 18 - 2 = 27

Tcritical = T0.01, 27 = 2.473

S = sqrt[(s1²/n1) + (s2²/n2)]

S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]

S = 7.284

(μ1 - μ2) = (x1 - x2) ± Tcritical * S

(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284

(μ1 - μ2) = - 17.7 ± 18.013332

-17.7 - 18.013332 ; - 17.7 + 18.013332

−35.713332 ; 0.313332

3 0
2 years ago
Find the greatest common factor of the following monomials 37u^3v^6 and u^6v^2
Juliette [100K]

Answer:

Step-by-step explanation:

The GCF of these monomials is : u^3v^2

5 0
3 years ago
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