Evaluate 6y + x9
When x = -5, y = -4

[tex]2\sqrt{3}[/tex]

------------------------

Steps:

1st write out equation

[tex]\frac{\sqrt{60}}{\sqrt{5}} \\[/tex]

Second write the conjugant and multiply it.

[tex]\frac{\sqrt{60}}{\sqrt{5}} * \frac{\sqrt{5} }{\sqrt{5} }[/tex]

After multiplying you should get,

[tex]\frac{10\sqrt{3}}{5}[/tex]

now after simplifying you should get

[tex]2\sqrt{3}[/tex]

Coordinate geometry is the use of a 2D plane to represent points.

Given that:

[tex]A = (-5,5) \to A' = (5,5)[/tex]

[tex]B = (-2,2) \to B' = (2, 2)[/tex]

[tex]C = (-3,2) \to C' = (2,3)[/tex]

By observing the pattern of transformation, the rule is:

[tex](x,y) \to (y,-x)[/tex]

Hence, the transformation is a rotation of 270 degrees clockwise

The length is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]

[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]

And

[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]

[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]

By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.

The measure of the angles is calculated as follows:

[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]

So, we have:

[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]-2= \sqrt{13} \cos C[/tex]

Make cos C the subject

[tex]\cos C = -0.5547[/tex]

[tex]C = cos^{-1}(-0.5547)[/tex]

[tex]C = 124^o[/tex]

Also, we have:

[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]

So, we have:

[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]

[tex]\frac{1}{\sin A} =5.1175[/tex]

Rewrite as:

[tex]\sin A = \frac{1}{5.1175}[/tex]

[tex]\sin A = 0.1954[/tex]

[tex]A = \sin^{-1}(0.1954)[/tex]

[tex]A = 11^o[/tex]

Also, we have:

[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle

[tex]11 + B + 124 = 180^o[/tex]

Collect like terms

[tex]B = 180 -11 - 124[/tex]

[tex]B = 45[/tex]

Hence:

[tex]\angle A = 11[/tex]   [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]

Read more about coordinate geometry at:

https://brainly.com/question/1601567

Answer: 3a+b/9

(the slash represents a fraction so the answer is a fraction)

Step-by-step explanation:

Answer:

(7q-5)²

Step-by-step explanation:

= 49q² - 70q + 25

= 49q² -35q -35q + 25

= 7q(7q-5) - 5(7q - 5)

= (7q-5) (7q-5)

= (7q-5)²

CMIIW

Answer:

Step-by-step explanation:

49q² -70q +25 , rewrite the first two terms as squares

(7q)² -70q + 5² , compare with  a² - 2ab + b² = (a-b)²

    a² - 2ab + b²

(7q)² -2(7q)(5 )+ 5², because 70q = 2*35q = 2*7*5*q

We can see that a = 7q and b=5, therefore

49q² -70q +25 = (7q -5)²

We set the equation equal to 0 to find the roots

7q-5 =0, add 5 to both sides

7q =5 , divide both sides by 7

q = 5/7 ≈ 0.714

Answer:

  3/8

Step-by-step explanation:

Step-by-step explanation:

Σfx = 60+45a

Σf = 12+9a

Now

Mean =Σfx/Σf

= 60+45a/12+9a

=105/21 (a has been canceled)

=5

Therefore mean =5

Answer:

C = 7p

Step-by-step explanation:

Each pound costs 7 dollars, and he buys P, an unknown amount. This equals C.

Answer:

-15

Step-by-step explanation:

the number is N

N - 9 = -24

N = -15

Answer:

the answer is 33

Step-by-step explanation:

-24 + 9 = -33

Answer:

[tex] = \frac{1}{5} {x}^{2} [/tex]

Step-by-step explanation:

So if you are 7 and a half miles away, and you drive 30 miles per hour, you need to take 7.5 and divide it by it by 30 and you get 0.25, you then need to find what is a quarter (0.25) of 60 minutes, and you will find that it is 15 minutes.

So:

Answer:

The route will take 15 minutes to get to work taking the back roads.

Hope this helps!

8k - 9(4k + 4) = 8k - 36k - 36 = -28k - 36

Let's rewrite in the simplest term,

→ 8k - 9(4k + 4)

→ 8k - 36k - 36

→ [-28k - 36]

The simplest term is -28k - 36.

Answer:

Option(A) [tex]4^{\frac{5}{8}}[/tex] is equivalent to [tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]

Step-by-step explanation:

Given:

[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]

To simplify the expression

Using the exponent rule,

[tex]$\frac{x^{a}}{x^{b}}=x^{a-b}$[/tex]

[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex][tex]=4^{\frac{7}{8}-\frac{1}{4}}[/tex]

[tex]=4^{\frac{5}{8}}[/tex]

The correct answer option is (A) [tex]4^{\frac{5}{8}}[/tex]

Learn more about Exponent rule, refer:

Answer:

1st one

Step-by-step explanation:

it is by multiple of 5 withthe words inside bracket.

Answer:

52

+38

=90

-9

=81

so the answer is=81

Step-by-step explanation:

#12

PQ = 6x + 25

QR = 16 - 3x

PR = 6x + 25 + 16 - 3x

PR = 3x + 41

#1

D = √(-4 - 5)² + (-7 - 2)²

D = √(-9)² + (-9)²

D = √81 + 81

D = √162

D = 9√2

Answer:

No

Step-by-step explanation:

The x-axis shows Craig's pitch speed in miles per hour.

The highest speed he did was between 70 to 75 mph. Craig's doesn't specify the speed in the histogram, so we can only be sure that Craig's fastest is between 70 to 75 mph.

Answer:

Apart from PB&J and oatmeal, pancakes are the most popular (and best) breakfast meal. They’re nutritious, yummy and can be served with both salty and sweet flavors. But are they easy to make? The recipe may be simple, but there are many things we need to consider.

Step-by-step explanation:

Answer:

p = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (3, 7)

m = [tex]\frac{7-(-3)}{3-(-1)}[/tex] = [tex]\frac{7+3}{3+1}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex]

Parallel lines have equal slopes

Calculate the slope of the other 2 points and equate to [tex]\frac{5}{2}[/tex]

with (x₁, y₁ ) = (3, p) and (x₂, y₂ ) = (7, - 4p)

m = [tex]\frac{-4p-p}{7-3}[/tex] = [tex]\frac{-5p}{4}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )

- 10p = 20 ( divide both sides by - 10 )

p = - 2

Answer:

None

Step-by-step explanation:

sorry don't know how to delete this

Hi! I'm happy to help!

The recipe calls for 1/4 of a cup of cocoa, and we have 5/6 of a cup.

We use subtraction to solve for the difference:

5/6-1/4

To solve for this, we need to find a common denominator. We do this by finding the least common multiple of the two denominators we already have.

The least common multiple is 12, because that is the lowest number that both 6 and 4 are factors of.

We multiplied the 6 by 2 to get twelve, so, to make it equivalent, we have to multiply the 5 by 2 also.

10/12-1/4

Now, since we multiplied the 4 by 3 to get twelve, we need to do the same to the 1.

10/12-3/12

You never subtract denominators, only numerators. Now, all we have to do is 10-3:

10/12-3/12=

7/12

So, you would have 7/12 cup of cocoa left over if you made the cookies.

I hope this was helpful, keep learning! :D

Answer:

Step-by-step explanation:

1: x=5

2: x=2

3: x = 3

4: x=5

5: x=3

6: x=4

7: x=37

Answer:

-10x-28

Step-by-step explanation:

-

Answer:

SSS is used

Step-by-step explanation:

mark me as brainliest ❤️

The triangles are congruent with SSS postulates. Then the correct option is D.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Two triangles are shown.

The SSS postulate is one of the ways to prove that two triangles are congruent. SSS stands for "side-side-side," and it states that if three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.

The corresponding sides of the triangle will be equal. Then the triangles are congruent with SSS postulates.

Thus, the correct option is D.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ7

Answer:

1.

Step-by-step explanation:

You can't send two because it'd be 38

Answer:

1

Step-by-step explanation:

5t = 5

divide equation by 5 to get rid of it

t = 1

This is because 5t means "5 times t". The t is a placeholder for a number.

To solve for t, we divide both sides by 5

5t = 5

5t/5 = 5/5

t = 1

Note how 5t = 5 becomes 5*1 = 5 after replacing t with 1. Because 5*1 = 5 is a true statement, this helps confirm we have the correct answer.

Answer: The student would get 70% credit.

The student’s overall grade would be

Step-by-step explanation:

the answer must be t equal to Q over MC

Answer:

T= Q over MC

Step-by-step explanation:

I did the test

Answer: if 1 contains 6 sizes the 18 contains 18x 6 sides

108 sides

Answer:

fig 1 no

Step-by-step explanation:

cause one element of domain (a) has two element. on range

Answer

fig 1 no

Step-by-step explanation:

cause one element of domain (a) has two element. on range.

Plzzz at least hit thanks ??