Combine like terms.

y + 2 + 8(y + 7) =

The co-ordinates of a point which divides the line joining the points (-3, 9) and (1, -3) internally in the ratio of 3:1  is , (0,0)

The equation of a  line is a relationship between x and y coordinates.

Section formula for a point which divides line joining points into m:n ratio,

(X,Y) = { (mx₂+nx₁)/m+n , (my₂+ny₁)/m+n }

Given points,

(-3, 9) and (1, -3)

m:n = 3:1

(X,Y) = { (3×1+ 1×-3)/3+1 , (3×-3 + 1×9 )/ 3+1 )

(X,Y) = (0,0)

Hence, the points will be, (0,0)

To know more about Line check:

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Explanation:

If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.

Furthermore, it means triangle WXY would be a right triangle.

Effectively, we need to find out if triangle WXY is a right triangle.

Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.

We have these side lengths of the triangle:

Let's say a = 9.6, b = 12.8 and c = 16

The order of 'a' and b doesn't matter. All that matters is that c is the longest side.

Plug those values into the pythagorean theorem and simplify each side.

a^2+b^2 = c^2

(9.6)^2 + (12.8)^2 = (16)^2

92.16 + 163.84 = 256

256 = 256

We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.

Answer:

You have to first figure out how many different possibilities there are, here there are 10. And they're asking for the chance that one option will be chosen

Therefore it is 1/10

I'm new to the app, hope that helped

Answer:

so here 25%=5

25×2=50, 5×2=10

50%=10

50%+50%=10+10

100%=20

baker makes total 20 cakes

Answer:

area of a trapezoid is 1/2(h)(b1 + b2)

1/2 (3) (6+2)

1/2 (24)

12 units ²

Answer:

20

Step-by-step explanation:

125

Step-by-step explanation:

25% of 500

25÷100

multiplied by 500

=125

Answer:

La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]

Step-by-step explanation:

Dos calles tienen las siguientes longitudes: [tex]2\frac{2}{5}[/tex] y [tex]1\frac{3}{4}[/tex] de kilometro. Para calcular la longitud total de ambas calles debes sumar ambas longitudes:

[tex]2\frac{2}{5}+1\frac{3}{4}[/tex]

Para sumar fracciones mixtas, en primer lugar sumas la parte entera:

2+1= 3

Luego se deben sumar las fracciones. Para ello, es necesario encontrar el común denominador. En este caso el común denominador entre 5 y 4 es 20.

Ahora debemos amplificar las fracciones al común denominador. Esto es, se divide por el denominador de cada fracción y el resultado se multiplica por el numerador de la fracción:

[tex]\frac{2}{5}+\frac{3}{4}=\frac{8+15}{20} =\frac{23}{20}[/tex]

Entonces el resultado de la suma es:

[tex]3\frac{23}{20}[/tex]

La longitud total de ambas calles es [tex]3\frac{23}{20}[/tex]

2a plus 6 equl eight i hink so

Answer:

Solve the given system first

Find b:

Find a:

Verify the options for correctness:

Step-by-step explanation:

y = 15× tan25° = 15×0.466 = 6.99 m

r (Hypotenuse) = 15/cos25° = 15/0.906

= 16.56m

the total height = 6.99+16.56 = 23.55 m

Answer:

150.86

Step-by-step explanation:

to calculate the surface area the formula is 2(wl+hl+hw). Hope I helped!

Answer:

C.155

Step-by-step explanation:

CALCULATE IT ITS MA ANSWER

Answer:

a) 2.5^2+19\times2.5-16.75

Step-by-step explanation:

(2.5)² +(19× 2.5) - 16.75

= 6.25 + 47.5 - 16.75 = 37

Surface area of cone = πr(r+√(h2+r2))

where r is the radius of the circular base

h is the height of coneOr

Surface area of cone =πr(r+L)

where L is the slant height of the cone

Answer:

The formula for the area of a cone is 3.14 times the radius times the side

Step-by-step explanation:

Answer:

b is the answer

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

Answer:

B.

Step-by-step explanation:

The negative (-) must be within the parentheses “(..)”. The expression is repeated four times, thus (-2/3)^4

Answer:

I am not sure if this is correct but I think it is A

Step-by-step explanation:

ANSWER is Option C

Use 2πr = 2×3.14×6 = 37.68 inches

Formula for the circumference of a circle: C = pi * Diameter

We are given the diameter, 12 inches, so all we have to do is plug in our values.

C = 3.14 * 12

C = 37.68 inches

Hope this helps!! :)

Answer:

5 < x

Step-by-step explanation:

28<6x-2

Add 2 to each side

28+2<6x-2+2

30 < 6x

Divide each side by 6

30/6 < 6x/6

5 < x

Answer:

5 < x OR x > 5

same thing just reversed

Step-by-step explanation:

28 < 6x - 2

28+2 < 6x (- 2 + 2)

30 < 6x

30/6 < 6x/6

5 < x

Answer:

SAS

Step-by-step explanation:

Answer:

x=36°

the sine rule enables us to find missing angles and sides when given an angleand 2 known sides

Answer: x=t/r+s/r

How to:  Isolate the variable by dividing each side by factors that don't contain the variable.

Have a great day and stay safe !

Answer:

[tex]solve \: \: for \: \: x \\ rx - s = t \\ rx = t + s \\ x = \frac{t + s}{r} [/tex]

Answer:

1/3

Step-by-step explanation:

2/3-1/3=1/3

#Carry on Learning

[tex]0.333[/tex] ✅

Step-by-step explanation:

[tex] \frac{2}{3} - \frac{1}{3} \\ = \frac{2 - 1}{3} \\ = \frac{1}{3} \\ = 0.333[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning}}{\orange{.}}}}}[/tex]

Answer:

x = 2

y = -3

Step-by-step explanation:

y = x-5

y = -x-1

2x -4 = 0

2x = 4

x =2

y = 2-5

y = -3

Answer:

$1,555.06

Step-by-step explanation:

Answer:

I think it is the 5th one if im wrong i am sorry

Step-by-step explanation:

Answer:

E.

Step-by-step explanation: