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3 years ago

Write the following in interval notation: x≤7 and x>5

Mathematics

1 answer:

satela [25.4K]3 years ago

7 0

Answer:

Mar 25, 2017 · 1 answer

XXXx∈[−2,+7) would mean −2≤ x<7. XXXx∈(4,+∞) would mean 4<x (with no upper limit). For the given case. XXXx<3 implies x<5

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Anyone have the answer for this

sergiy2304 [10]

$\huge\bold{Given:}$

Length of the base = 16 km.

Length of the hypotenuse = 34 km. $\huge\bold{To\:find:}$

✎ The length of the missing leg '' $a$ ".

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

The length of the missing leg "a" is $\boxed{30\:km}$ .

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

Using Pythagoras theorem, we have

$({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ ⇢ {a}^{2} + ({16 \: km})^{2} = ({34 \: km})^{2} \\ ⇢ {a}^{2} + 256 \: {km}^{2} = 1156 \: {km}^{2} \\ ⇢ {a}^{2} = 1156 \: {km}^{2} - 256 \: {km}^{2} \\ ⇢ {a}^{2} = 900 \: {km}^{2} \\ ⇢a \: = \sqrt{900 \: {km}^{2} } \\ ⇢a = \sqrt{30 \times 30 \: {km}^{2} } \\ ⇢a = 30 \: km$

$\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:leg\:"a"\:is\:30\:km.}$

$\huge\bold{To\:verify :}$

$( {30 \: km})^{2} + ({16 \: km})^{2} =( {34 \: km})^{2} \\ ⇝900 \: {km}^{2} + 256 \: {km}^{2} = 1156 \: {km}^{2} \\⇝1156 \: {km}^{2} = 1156 \: {km}^{2} \\ ⇝L.H.S.=R. H. S$

Hence verified. ✔

$\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘$

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2 years ago

Find the distance between (5, -2) and (7, -2)

Nuetrik [128]

Answer:

The distance is (2, 0)

Step-by-step explanation:

The first number is on the X axis. You move forward two places to get 7. The second number is on the Y axis, and you don't need to move anything so it stays the same. Hence the answer is a distance of two on the X axis.

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3 years ago

Can you help me with question 32? Quadratic Equations

bagirrra123 [75]

Lets x = width
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A = 1/2 b h
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so width = 9
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answer
width = 9 in
height = 14 in

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4 years ago