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2 years ago

How do I factorise 35x+55

Mathematics

2 answers:

liq [111]2 years ago

6 0

Answer:

$5(7x+11)$

Step-by-step explanation:

we have

$35x+55$

Rewrite the expression

$35x+55=(5*7)x+(5*11)$

Factor $5$

$(5*7)x+(5*11)=5(7x+11)$

densk [106]2 years ago

5 0

Find what is common between 35 and 55....and that would be 5....so factor 5 out

35x + 55 =
5(7x + 11) <==

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Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.

Galina-37 [17]

Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.

Explanation: Since, $\triangle EFA$ and $\triangle KFD$ are similar triangles.

Because, $\angle FAE= \angle FDK$ and $\angle FEA= \angle FKD$ (because EA and KD are parallels. And, $\angle F$ is common angle for these triangles.

Therefore, according to the property of similar triangles.

FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .

Thus, first, second and third options are correct.

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2 years ago

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In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equatio

Nitella [24]

In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).

To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.

The equation for the hole

$x^{2} + y^{2} = 5$ (1)

The equation for the path of the bean bag

$y = 0.5x^{2} + 1.5x - 4$ (2)

By entering equation (2) into (1) we have:

$x^{2} + (0.5x^{2} + 1.5x - 4)^{2} = 5$

$x^{2} + 0.25x^{4} + 1.5x^{3} - 4x^{2} + 2.25x^{2} - 12x + 16 = 5$

$0.25x^{4} + 1.5x^{3} - 0.75x^{2} - 12x + 11 = 0$

By solving for x, we have:

x₁ = 1

x₂ = 2

Now, for y we have (eq 2):

x₁ = 1

$y_{1} = 0.5(1)^{2} + 1.5(1) - 4 = -2$

x₂ = 2

$y_{2} = 0.5(2)^{2} + 1.5(2) - 4 = 1$

Therefore, the points are (1, -2) or (2, 1).

To find more about intersections, go here: brainly.com/question/4977725?referrer=searchResults

I hope it helps you!

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2 years ago

Mrs. Kong uses 1 over 3 of a stick of butter in a sauce she then uses 5 over 8 of the butter to make garlic bread what fraction

Allisa [31]

Answer=1/24

1/3+5/8=
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The LCM of 3 and 8 is 24

1/3=8/24
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8/24+15/24=23/24

Now if we're using 23/24, then only 1/24 is left.

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2 years ago

Segment YB is x+3 units long and segment BW is 2x-9 units long. The diagonal YW is ___ units long.

Gnom [1K]

Answer:

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Step-by-step explanation:

Segment YB = x + 3

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1 year ago

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allsm [11]

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2) multiply denominators
3) simplify fraction produced.

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2 years ago