Each of the four shaded rectangles has an area of 21 cm square and a perimeter of 20cm what is the perimeter of the square formed in middle

Answer:

-4

Step-by-step explanation:

y = (x+14)^2 -4

The equation is in vertex form

y = a(x-h)^2 + k  where (h,k) is the vertex

The y coordinate of the vertex is k = -4

Answer:

y - coordinate = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x + 14)² - 4 ← is in vertex form

with vertex = (- 14, - 4 )

The y- coordinate of the vertex = - 4

8 to the fourth power is:

8² · 8² =

64 · 64 =

4096

Answer:

3 remainder 1

Step-by-step explanation:

We have 2 gallons of orange juice and for each pitcher we need 5/8 of a gallon 1 gallon is = to a whole number so in this case 8/8 but because we have 2 gallons we can put it down at 16/8. 5 goes into 16, 3 times with 1 left over we can mark that as a Reminder

Answer:

300 yd³

Step-by-step explanation:

Volume = lwh

l = 6

w = 5

h = 10

so, 6×5×10 = 300 yd³

a) A line containing point F-DF

b) Another name for line k-BC

c) A plane containing point A-M

d) An example of three non- collinear points.-(B,A)

e) The intersection of plane M and line k-C

Answer:

helloo thereeee

we do such construction from a making bc arc then from b and c making x just when we need to make

Angle bisector

hope that helps ig :)

Answer: x = 24

Step-by-step explanation:

There are two triangles here; all angles in a triangle add up to 180, so in the first triangle we have two angles.

We add 94 and 41 together, and this gives us 135.

Now, we find the third angle of this triangle and the angle of the inner triangle by doing 180 - 135.

This gives us 45, and now we can calculate for x using the same method we used above.

111 + 45 = 156

180 - 156 = 24

Thus, x is equal to 24 degrees.

Step-by-step explanation:

Eueydhhdgdgdbdbddbdbhd

Answer:

Hello,

[tex]R=\dfrac{18}{\pi}\ (cm)[/tex]

Step-by-step explanation:

[tex]Formula: \ L=\theta*R\\[/tex]

[tex]R=\dfrac{6}{\dfrac{\pi}{3} } =\dfrac{6*3}{\pi} =\dfrac{18}{\pi}\ (cm)[/tex]

In the equation for surface area the radius is squared ( r^2)

If the radius is doubled, the radius would be 2^2 more which equals 4

The surface area would be 4 times the old surface area.

Answer:

x=25/3

Step-by-step explanation:

I put it into photo math

ANS=40

hope this help you

bye have a great day :)

Step-by-step explanation:

h) p^2+b^2=h^2

5^2+x^2=8^2

25+x^2=64

x^2=64-25

x^2=39

x=√39

x=6.244998

We know that

p² + b² = h²

Part a

5² + x² = 8²

x² = 64 - 25

x = √39

Part B

4² + 6² = x²

16+36 = x²

√52 = x

√2×2×13 = x

x = 2√13

Must click thanks and mark brainliest

Answer:

Step-by-step explanation:

Let Freda's sum = x

Donnie has 3/4 x

He spends 63 dollars. His sum is now

3/4x - 63

Now the equation looks like this

6(3/4x - 63) = x            Remove the brackets

6*3/4 x - 378 =x

6 * 3/4 = 4 1/2

4 1/2 x - 378 = x           Add 378 to both sides

4 1/2 x = x + 378          Subtract x from both sides

3.5 x = 378                  Divide by 3.5

x = 378 /3.5

x = 108

Since x = 108, that's how much Freda had. (She spent nothing).

Answer:

Hello,

answer:  -2 < k < 8

Step-by-step explanation:

As there are 2 roots: Δ>0

As there is a mininum, k-6 <0 ==> k<6,

minimum :y'=0 ==> (k-6)*2x-8=0 ==> x=4/(k-6)

[tex]\Delta=8^2-4*k*(k-6)\\=64-4k^2+24k\\=-4(k^2-6k+9)+36+64\\=100-4(k-3)^2\\=4(8-k)(k+2)\\\\\Delta\ is\ positive\ for\ -2 < k < 8[/tex]

Answer:

(B) 3

Step-by-step explanation:

Remember that a parallel lines always have the same slope!

Answer: Circumference of circle = 27.004 inches

              Area of circle = 58.0586 inches²

Step-by-step explanation:

Diameter of circle = 8.6 inches

Pi ([tex]\pi[/tex]) = 3.14

Circumference of circle (With diameter) = [tex]\pi \\[/tex]d ([tex]\pi[/tex]×diameter)

                                                                = 3.14 × 8.6

                                                                = 27.004 inches

Area of circle (With diameter) = [tex]\pi[/tex][tex]d^{2}[/tex]/4

                                                 = 3.14 × 8.6 × 8.6 / 4

                                                 = 3.14 × 73.96 / 4

                                                 = 58.0586 inches²

[tex]\huge{\sf \left[{x-2y\atop 6x-2z}\:\:\:{4y-3\atop 2y-z}\right]=\left[{-3\atop 4}\:\:\:{5\atop 3}\right]}[/tex]

Creating equations

[tex]\\ \sf\longmapsto x-2y=-3\dots(1)[/tex]

[tex]\\ \sf\longmapsto 4y-3=5\dots(2)[/tex]

[tex]\\ \sf\longmapsto 6x-2z=4\dots(3)[/tex]

[tex]\\ \sf\longmapsto 2y-z=3\dots(3)[/tex]

[tex]\\ \sf\longmapsto 4y-3=5[/tex]

[tex]\\ \sf\longmapsto 4y=5+3[/tex]

[tex]\\ \sf\longmapsto 4y=8[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{8}{4}[/tex]

[tex]\\ \bf\longmapsto y=2[/tex]

[tex]\\ \sf\longmapsto x-2y=-3[/tex]

[tex]\\ \sf\longmapsto x=-3+2y[/tex]

[tex]\\ \sf\longmapsto x=-3+2(2)[/tex]

[tex]\\ \sf\longmapsto x=-3+4[/tex]

[tex]\\ \bf\longmapsto x=1[/tex]

[tex]\\ \sf\longmapsto 2y-z=3[/tex]

[tex]\\ \sf\longmapsto z=2y-3[/tex]

[tex]\\ \sf\longmapsto z=2(2)-3[/tex]

[tex]\\ \sf\longmapsto z=4-3[/tex]

[tex]\\ \bf\longmapsto z=1[/tex]

Answer:

Does the answer help you?

Answer:

36 cm³

Step-by-step explanation:

Volume of R1 :

length = 5 cm

Width = 2 cm

Height = 2 cm

Volume = 5 * 2 * 2 = 20 cm³

Volume of R2:

length = 4 cm

Width = 2 cm

Height = 2 cm

Volume = 4 * 2 * 2 = 16 cm³

Volume of the figure = 20 + 16 = 36 cm³

Answer:

12 houra

Step-by-step explanation:

404-80=27x

324=27x

x=324/27

x=12 hours.

The job is expected to take 5 hours, Option d.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given problem,

Cost for parts = $234

Total estimate = $509.00

Amount left from total estimate after spending for parts = $( 509 - 234 )

                                                                                             = $275

Hourly rate for renovation = $55

Total hours = [tex]\frac{275}{55}[/tex] hours

                   = 5 hours.

Hence, we can conclude that she with $275, 5 hours of job can be afforded.

Learn more about unitary method here: https://brainly.com/question/19423643

#SPJ2

Answer:

This is already solved half-way.

Store I, 25% off:

Store J, $2 off:

A pair of shoes cost $9 in store I and $8 in store J.

Karen should purchase her shoes from the store J as it costs $1 less.

The discount:-

[tex]\\ \sf\longmapsto 12\times 25\%[/tex]

[tex]\\ \sf\longmapsto 12\times \dfrac{25}{100}[/tex]

[tex]\\ \sf\longmapsto \$ 3[/tex]

Cost of shoe

[tex]\\ \sf\longmapsto 12-3[/tex]

[tex]\\ \sf\longmapsto \$ 9[/tex]

The Cost of shoe :-

[tex]\\ \sf\longmapsto 10-2[/tex]

[tex]\\ \sf\longmapsto \$ 8[/tex]

Karen should purchase shoes from store J

Answer:

A. 48mi^3

Step-by-step explanation:

To find the volume of a rectangular prism, you multiply:

length x width x height

Answer:

I think that the answer is 1 to1

Answer:

c. 18

Step-by-step explanation:

First, you would find the total sum of the 60 numbers. The average is always the sum of the numbers divided by the number of numbers.

35*18=630

15*10=150

Now we do not know how many numbers the last group has. However, we can find it out doing 60-35-15 to see how many numbers are left. There would be 10 numbers left

10*30=300

630+150+300=1080

1080/60=18

Hence, the answer is C(18)

Answer:

0'=(0,3)

Step-by-step explanation:

P'=(-5+5,7-5)=(0,3)

Step-by-step explanation:

s:t=2:3

t:u=2:3

s:u=?

s/u=2/3

Answer:

36 days

Step-by-step explanation:

The answer is the lcm of (9,12)=36 days

We have to find LCM of 9 and 12

2 | 9,12

2 | 9,6

3 | 9,3

3 | 3,1

LCM=2×2×3×3=4×9=36

Today is 36 th day

Answer:

hypotenuse = 13

shortest side = 5

third side = 12

Step-by-step explanation:

Given sides a, b, and c, with c representing the hypotenuse of a right triangle, we can say that

a²+b² = c² using the Pythagorean Theorem.

We are given that the hypotenuse (c) = 8 cm more than the shortest side. Representing the shortest side as a, we can say that c= 8 + a. Then, the third side, which we can represent as b, is 1cm shorter than the hypotenuse, so c-1 = b

c= 8+a

c-1 = b

a²+b² = c²

One thing we can do is to solve for everything in terms of c and solve the third equation from there

c= 8+a

subtract 8 from both sides

c-8 = a

a²+b² = c²

(c-8)²+b² =c²

b = c-1

(c-8)² + (c-1)² = c²

expand

c²-16c + 64 + c² - 2c + 1 = c²

2c² - 18c + 65 = c²

subtract c² from both sides to make this an equation that we can more easily solve

c² - 18c + 65 = 0

To factor, we can find two numbers that add to (-18) and multiply to 65. Two numbers that work at 13 and 5, so we have

c²-13c-5c + 65 = 0

c(c-13) -5(c-13) = 0

(c-5)(c-13) = 0

Therefore, the hypotenuse, or c, is 5 or 13. Because a=c-8, if c=5, a would be negative 3. This is not possible, so c cannot be 5. Therefore, c=13, a=c-8=5, and b=c-1= 12

Answer:

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

5/15,20,25

3,4,5

5*4*3*5

300