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2 years ago

7

Solve using substitution method2x + 8y = 4x = -4y - 2

2 answers:

ludmilkaskok [199]2 years ago

8 0

It is (-6 / +2) - (4z +9

lesantik [10]2 years ago

5 0

I think it would be (-2/5,-1/10)

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Use the graph to write a linear function that relates y to x<br> Y=

Elden [556K]

2 kkyykkylyllyllylykkykylykkkjjjkkl

8 0

2 years ago

What is the value of MB between A and B?

nikdorinn [45]

Answer:

MB = 26

Step-by-step explanation:

AM = 2x - 3

MB = 5x + 1

AB = 21 - (-12)

= 21 + 12

= 33

According to the question M is between A and B. So,

$\rm \longrightarrow AB = AM + MB \\ \\ \rm \longrightarrow 33 = (2x - 3) + (5x + 1) \\ \\ \rm \longrightarrow 2x - 3 + 5x + 1 = 33 \\ \\ \rm \longrightarrow (2x + 5x) + (1 - 3) = 33 \\ \\ \rm \longrightarrow 7x - 2 = 33 \\ \\ \rm \longrightarrow 7x - 2 + 2 = 33 + 2 \\ \\ \rm \longrightarrow 7x = 35 \\ \\ \rm \longrightarrow \dfrac{7}{7} x = \dfrac{35}{7} \\ \\ \rm \longrightarrow x = 5$

$\therefore$ Value of MB = 5 × 5 + 1

= 25 + 1

= 26

4 0

2 years ago

Which equation represents a circle with a center at (2,-3) and a radius of 11

Verdich [7]

Answer:

x^2-4x+y^2+6y-108=0

Step-by-step explanation:

$The- equation- of- circle- with -center- at- (h,k) -and -a -radius- of- r -is: \\(x-h)^2 +(y-k)^2 = r^2\\h = 2 , \\ k = -3\\r = 11\\(x-2)^2+(y-(-3))^2 = 11^2\\(x-2)^2+(y+3)^2 = 121\\x^2-4x+4 +y^2+6y+9 = 121\\x^2 -4x+y^2+6y+4+9=121\\x^2 -4x+y^2+6y+13=121\\x^2 -4x+y^2+6y=121-13\\x^2 -4x+y^2+6y= 108\\x^2 -4x+y^2+6y-108 = 0$

8 0

3 years ago

“Write an equation and solve for the unknown” I know it’s a lot but can someone help me with this

Svetradugi [14.3K]

Answer:

g) x = 30

h) x = 30

i) m = 55

j) x = 24

k) k = 45

Step-by-step explanation:

G)

all angles of a triangle add up to 180.

the square in the bottom right of the triangle is 90 btw

2x + x + 90 = 180

3x + 90 = 180

3x + 90 - 90 = 180 - 90

3x = 180 - 90

3x = 90

3x/3 = 90/3

x = 30

H)

this is an Isosceles triangle.

that means the bottom two angles are equal.

75 + 75 + x = 180

x + 150 = 180

x + 150 - 150 = 180 - 150

x = 180 - 150

x = 30

I)

2m is supplementary to the bottom right angle of the triangle.

that means they add together to make 180.

80 + 30 + (180 - 2m) = 180

110 - 2m = 180 - 180

110 - 2m = 0

110 = 2m

110/2 = m

55 = m

J)

to save time I'm not going to write out the steps, its the same as the i.

2x + 3x + (180 - 120 ) = 180

5x + 60 = 180

5x = 180 - 60

5x = 120

x = 120/5

x = 24

K)

imagine this as a triangle and a square.

sorry I'm not sure how to explain this -.-

but the equation would be

k + k + 90 = 180

2k + 90 = 180

2k = 180 - 90

2k = 90

k = 45

L)

Im not sure how to solve this, I'm sorry :( hope you figure it out!

5 0

3 years ago

Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....

Nuetrik [128]

Answer:

Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

Step-by-step explanation:

Considering the sequence

$-5,\:-25,\:-125,\:-625,...$

A geometric sequence has a constant ratio r and is defined by

$g_n=g_0\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}$

$\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=5$

So, the sequence is geometric.

as

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$g_1=-5$

$r=5$

so

$g_n=g_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$g_n=-5\cdot \:5^{n-1}$

Therefore, Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

8 0

3 years ago