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3 years ago

100 POINTS. Write an algebraic expression to represent the area of the shaded region:

Mathematics

1 answer:

Schach [20]3 years ago

7 0

Answer:

To get this answer you will need to find the area of the whole shape will be 4y+3*2y=10x. With this, you then have to divide by 2 which will give you 5x. Then you solve for the shaded region which will be 36

Step-by-step explanation:

Hope this is right and helpful.

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Can someone help me Find the value of X

Aleksandr [31]

Answer: x=4

Step-by-step explanation:

similar triangle so corresponding parts are similar

$\frac{5}{10} = \frac{2x-1}{14}$

cross multiply

70 = 20x-10

80 = 20x

x = 4

3 0

3 years ago

What is the image point of (0,1) after the transformation D4 R90?<br> Please and thank you

Ede4ka [16]

Answer:

Image point → (-4, 0)

Step-by-step explanation:

Coordinate of a point → (0, 1)

Rule for the transformation has been given as,

D₄ o R₉₀

First use R₉₀ → Rotation of the point by 90° counterclockwise

Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,

(x, y) → (-y, x)

(0, 1) → (-1, 0)

Further use D₄ → Dilation of the point by a scale factor of 4 about the origin

If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,

(x, y) → (kx, ky)

By applying this rule,

(-1, 0) → (-4, 0)

Therefore, image point will be → (-4, 0)

5 0

3 years ago

Which table represents exponential growth?

bearhunter [10]

Answer:

Step-by-step explanation:

The exponential function $y=a^x$ shows the exponential growth if $a>1.$

Consider choice B.

If x=1, then $y=2=2^1;$

if x=2, then $y=4=2^2;$

if x=3, then $y=8=2^3;$

if x=4, then $y=16=2^4.$

This means that the function $y=2^x$ represents the table B.

7 0

3 years ago

Read 2 more answers

Three friends met for a book club at a coffee shop, each friend ordered a cup of coffee and two donuts. the total of the order w

4vir4ik [10]

Answer:

$Cost\ of\ donut=\frac{49}{24}\approx \$2.042\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

Step-by-step explanation:

$Let\ cost\ of\ coffee=y\\\\cost\ of\ one\ donut=x\\\\Each\ friend\ buy\ one\ coffee\ and\ two\ donuts\\\\Amount\ for\ 1\ friend=Cost\ of\ coffee+2\times cost\ of\ donut\\\\Amount\ for\ 1\ friend=y+2x\\\\Amount\ required\ for\ 3\ friend=3\times Amount\ for\ 1\ friend\\\\Amount\ required\ for\ 3\ friend=3\times (y+2x)\\\\Amount\ required\ for\ 3\ friend=3y+6x\\\\Total\ bill=\$ 22\\\\3y+2x=22\\\\Given\ cost\ of\ coffee=\$3.25\\\\y=\$3.25$

$Hence\ solution\ of\ following\ system\ of\ equation\ will\ give\ cost\ of\ donut:\\\\3y+6x=22\\\\y=3.25\\\\\\Substitute\ y=3.25\ in\ first\ equation\\\\3\times 3.25+6x=22\\\\9.75+6x=22\\\\6x=22-9.75\\\\6x=12.25\\\\x=\frac{12.25}{6}\\\\x=\frac{49}{24}\approx \$2.042\\\\Cost\ of\ donut=\frac{49}{24}\approx \$2.042$

See attached diagram.

$Each\ friend\ takes\ 2\ donuts\\\\Total\ donuts=Number\ of\ friends\times 2\\\\Total\ donuts=3\times 2=6\\\\cost\ of\ donuts=number\ of\ donuts\times cost\ of\ 1\ donut\\\\cost\ of\ donuts=6\times \frac{49}{24}\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

5 0

3 years ago

How many real solutions does the equation have? √3x-1 =2x-5

timama [110]

Answer: 2 soulutions

Step-by-step explanation: Just factor them and solve the answer would be x = 4 √3 + 8 in its exact form and x = 14.92820323... in its decimal form

5 0

3 years ago