Which expression is equivalent to:1/2(x-8)+3x

x = 13, y = 18

hope this is right

Answer:

x=−3 and y=−2

Step-by-step explanation:

-5x+4(-2x-8)=7

-13x-32=7

-13x-32+32=7+32

-13x=39

divide both sides by -13

x=-3

substitute x for -3

-2(-3)-8= -2

y= -2

Answer:

gradient = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

8y + 4x = 5 ( subtract 4x from both sides )

8y = - 4x + 5 ( divide the terms by 8 )

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{8}[/tex] ← in slope- intercept form

with gradient = - [tex]\frac{1}{2}[/tex]

Given a line with gradient m then the gradient of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

2 is the gradient of a line that is perpendicular to 8y+4x=5​

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane

The slope of line can also be called ad gradient of a line.

The standard form of line or slope intercept form of a line is given by

y=mx+c

where m is the slope of line and c is the y intercept.

The given equation of line is  8y+4x=5​

We need to convert the equation of line to Slope intercept form

8y=5-4x

Divide both sides by 8

y=5/8-4/8x

y=-1/2x+5/8

So m is -1/2.

Two lines are said to be perpendicular if m₁m₂ =-1

if m₁=-1/2

then we need to calculate m₂

-1/2m₂=-1

m₂=2

Hence gradient of a line that is perpendicular to 8y+4x=5​ is 2.

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Answer: tell me if i am wrong

yx = k, where k is a real constant.

When y = 30, x = 3.

=> k = (30)(3) = 90.

Hence when y = 6, x = k/y = (90)/(6) = 15.

Step-by-step explanation:

Assuming the point A has coordinates (2,3) and the center of dilation is the origin.

Then the image of point A under a dilation of scale factor of 4 is (4∗2,4∗3)=(8,12)(4*2,4*3)=(8,12)(4∗2,4∗3)=(8,12)

Hence A(2,3)→A′(8,12)A(2,3)\to A'(8,12)A(2,3)→A

′

(8,12)

In general the rule for a dilation of scale factor of k is (x,y)→(kx,ky)(x,y)\to(kx,ky)(x,y)→(kx,ky)

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Answer:

The number 173 or 1,173?

1,173 x 1,173 = 1,375,929

Since all sides are equal in a square, one given length would be all the side lengths since all sides are equal in a square.

If the side length was 173 then:

173 x 173 = 29,929

Answer:

yes

Step-by-step explanation:

8x6

Answer:no it is not

Step-by-step explanation:

Answer:

Step-by-step explanation:

greater than 1   ,  is your teacher just giving you brain teaser questions?  these seem like they are .. "out in the weeds"  type of questions,  not really useful math   :/  

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

Answer:£2121.8

Step-by-step explanation:

Given

Principal money [tex]P=[/tex]£2000

rate of interest is  [tex]R=3\%[/tex]

time period [tex]T=2\ yr[/tex]

The amount by compound interest is given by

[tex]A=P[1+\frac{R}{100}]^T[/tex]

Putting values

[tex]\Rightarrow A=2000[1+0.03]^2\\\Rightarrow A=2121.8[/tex]

So, after two years it will be £2121.8

Answer:

y=4x+7

Step-by-step explanation:

Let's solve for y.

3y−21=12x

Step 1: Add 21 to both sides.

3y−21+21=12x+21

3y=12x+21

Step 2: Divide both sides by 3.

3y /3 = 12x+21 /3 y=4x+7

brainliest please?

Answer:

i). 2    ii). 2

Step-by-step explanation:

i). 4p = 18 - 5(2)

4p = 18 - 10

4p = 8

p = 2

ii). 4(2) = 18 - 5q

8 = 18 - 5q

-10 = - 5q

q = 2

Answer: True-  [tex]\dfrac{9}{50}[/tex]

Step-by-step explanation:

Given

There are 50 letter tiles

9 of them is m letter

Favorable outcomes to draw an m letter tile is 9

The total ways to draw a single tile is 50

Probability is the ratio of favorable to the total outcomes

[tex]P=\dfrac{9}{50}[/tex]

So, the given statement is true

Answer:

4.2 inches

Step-by-step explanation:

Basketball rim:

diameter = 18 inches

r = 18/2 = 9 inches

Ball:

Circumference of ball = 30 inches

2πr = 30 inches

[tex]2*3.14*r = 30\\\\r = \frac{30}{2*3.14}\\\\r = 4.8 inches[/tex]

Distance between the ball and the rim in a shot when the ball goes exactly in the center of the rim = radius of the rim - radius of the ball

   = 9 - 4.8

   = 4.2 inches

Answer:

-11

Step-by-step explanation:

Answer:

answer would be 5

Step-by-step explanation:

Logarithm base 2 of 32 is 5.

Answer:

d

Step-by-step explanation:

Answer:

I got you homie! B-)

This person’s favorite meal is twice as likely to be hamburger and French fries as it is to be spaghetti.

Step-by-step explanation:

The other person answered with something unhelpful at all

Since both equations equal y they need to equal each other.

2x - 5 = -3x + 10

Add 3x to both sides:

5x -5 = 10

Add 5 to both sides

5x = 15

Divide both sides by 5

X = 3

Now solve for y by replacing x with 3:

Y = 2(3)-5 = 6-5 = 1

Y = -3(3)+ 10 = -9+ 10 = 1

Check: replace y with 1 and solve for x:

1 = 2x -5

Add 5 to both sides

6 = 2x

Divide both sides by 2

X = 3 ( True)

Answer:

99

Step-by-step explanation:

The following figure is a trapezoid with the following dimensions

Height = 9ft

Shorter Base Length = 6ft

Longer Base Length = 16ft

The area of a trapezoid can be found using this formula

[tex]A=\frac{a+b}{2}h[/tex]

where a and b = bases and h = height

Given all the information needed we plug in the values into the formula

[tex]A=\frac{6+16}{2} 9\\6+16=22\\\frac{22}{2} =11\\11*9=99\\A=99ft^2[/tex]

So we can conclude that the area of the trapezoid is 99 ft²

Answer:

Formula of a trapezoid:

Base 1 + Base 2 x H x 1/2

In this case:

Base 1 (6) + Base 2 (16) x Height (9) x 1/2

= 99

Answer:

56

Step-by-step explanation:

x+x+8=104

2x=96

x=48

48+8=56

Answer:

2826yd²

Step-by-step explanation:

The area of a circle is 3.14r²

Youre given a diameter of 60 so the radius would be 30 now plug into the equation and you get 2826

Answer:

11,309.734

Step-by-step explanation:

hope it is correct.

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thank you

19NBoli

Answer:

Q7: 6a³

Q8: -6n^4

Q9: -7a

Step-by-step explanation:

see attachment below

Answer:

15/8

Step-by-step explanation:

the mixed answer is 1 7/8

but also the answer is 15/8

Answer:

3.9

Step-by-step explanation:

m+5=8.9

m=8.9-5

m=3.9

Answer:

i believe it's A bc 8 cm is too long to reach 4 cm

Answer:

therefore the value of k for which the given quadratic equation will have quale and real root

Step-by-step explanation:

k=52 and k=52

Answer:

Step-by-step explanation:

Y intercept is at  (0,1) so b=1

slope is go 4 down 1 right so slope is -4

Equation is

-4x+1=y

Answer:

1 2/8 OR 1 1/4

Step-by-step explanation:

4/8 + 2/8 + 4/8 =

6/8 + 4/8 =

10/8 =

1 2/8 OR 1 1/4

Hope that helps!