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3 years ago

PLEASE HELP!!!!!!

Mathematics

1 answer:

pickupchik [31]3 years ago

4 0

9514 1404 393

Answer:

$\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right]$

Step-by-step explanation:

The 270° CCW rotation is described by the transformation ...

(x, y) ⇒ (y, -x)

That is, the first row of the transformed coordinate matrix is the same as the second row of the input matrix. The second row of the output matrix is the opposite of the first row of the input matrix.

$\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right]$

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A measure below of three angles of a triangle is shown below. What is the measure of x?

oksian1 [2.3K]

Answer- 70

38+x+x+2= 180
Collect like terms
40 +2x=180
Bring 40 to the other side and subtract
2x=140
Divide by 2 to get x alone
X=70

5 0

3 years ago

Read 2 more answers

Kayla has decided to paint the ceiling in the living room. She has 1/30 gallon of paint left. The living room ceiling will take

ella [17]

So the ceiling takes 5/6 gallon to paint. We know that you already have 1/30 gallon and another gallon in addition to that. We must convert the 5/6 into ?/30 so we can see how much we need to use. So if we convert 5/6 to out of 30, we get 25/30. So the first can has 1/30 gallon so we subtract that amount from the total paint needed. So now we only need 24/30 gallon to paint the ceiling. If we subtract that amount needed from the full (30/30) can we have left, that will give us the remaining amount of paint we have left. 30/30-24/30= 6/30. This reduces to 1/5. So there is 1/5 gallon of paint left over after painting the ceiling.

3 0

3 years ago

Factor the trinomial x^2 + 22x + 72 explain all steps

exis [7]

Step-by-step explanation:

${x}^{2} + 22x + 72 \\ {x}^{2} + 18 x + 4x + 72 \\ x(x + 18) + 4(x + 18) \\ (x + 4)(x + 18)$

5 0

4 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1)

vovikov84 [41]

Answer with Step-by-step explanation:

We are given that an equation of curve

$x^{\frac{2}{3}}+y^{\frac{2}{3}}=4$

We have to find the equation of tangent line to the given curve at point $(-3\sqrt3,1)$

By using implicit differentiation, differentiate w.r.t x

$\frac{2}{3}x^{-\frac{1}{3}}+\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=0$

Using formula : $\frac{dx^n}{dx}=nx^{n-1}$

$\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=-\frac{2}{3}x^{-\frac{1}{3}}$

$\frac{dy}{dx}=\frac{-\frac{2}{3}x^{-\frac{1}{3}}}{\frac{2}{3}y^{-\frac{1}{3}}}$

$\frac{dy}{dx}=-\frac{x^{-\frac{1}{3}}}{y^{-\frac{1}{3}}}$

Substitute the value x= $-3\sqrt3,y=1$

Then, we get

$\frac{dy}{dx}=-\frac{(-3\sqrt3)^{-\frac{1}{3}}}{1}$

$\frac{dy}{dx}=-(-3^{\frac{3}{2}})^{-\frac{1}{3}}=-\frac{1}{-(3)^{\frac{3}{2}\times \frac{1}{3}}}=\frac{1}{\sqrt3}$

Slope of tangent=m= $\frac{1}{\sqrt3}$

Equation of tangent line with slope m and passing through the point $(x_1,y_1)$ is given by

$y-y_1=m(x-x_1)$

Substitute the values then we get

The equation of tangent line is given by

$y-1=\frac{1}{\sqrt3}(x+3\sqrt3)$

$y-1=\frac{x}{\sqrt3}+3$

$y=\frac{x}{\sqrt3}+3+1$

$y=\frac{x}{\sqrt3}+4$

This is required equation of tangent line to the given curve at given point.

8 0

4 years ago

Find two numbers a and b whose sum a+b is -4 and whose difference a−b is -4.

Pepsi [2]

The answer is a = -4 and b = 0.

We can solve this by looking at a system of equations using what was given

a + b = -4
a - b = -4

Then add then two equations together.

2a = -8 ---> then divide by 2 for your a value
a = -4

You can then put that into the equation and solve for b.

-4 + b = -4 ---> add 4 to both sides
b = 0

7 0

3 years ago