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4 years ago

An equation is shown below:

1 answer:

meriva4 years ago

7 0

4(2x - 5) = 4

8x - 20 = 4

8x = 4 + 20

8x = 24

x = $\frac{24}{8}$

x = 3

Part A:

This equation has only one solution. {Working shown above}

Part B:

The solution is x = 3. {Working shown above}

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Expand the polynomial (x-10)(x-10)

iren [92.7K]

Answer:

(x-10)^2

Step-by-step explanation:

8 0

3 years ago

Can someone please help me! Big ideas 8.4 number 20

Harlamova29_29 [7]

Answer: The perimeter is about 20.26 units

Step-by-step explanation:

To calculate the distance between the points, we use the formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where,

d = distance

$x_2\text{ and }x_1$ are the coordinates of the points on x-axis

$y_2\text{ and }y_1$ are the coordinates of the points on y-axis

For the given points:

B(0,3), C(4,-1), E(2,-3) and F(-2,1)

Calculating the distance BC:

$x_2=4\\x_1=0\\y_2=-1\\y_1=3$

Putting values in above equation, we get:

$BC=\sqrt{(4-(0))^2+(-1-3)^2}\\\\d=\sqrt{16+16}=5.66units$

Calculating the distance CE:

$x_2=2\\x_1=4\\y_2=-3\\y_1=-1$

Putting values in above equation, we get:

$CE=\sqrt{(2-(4))^2+(-3-(-1))^2}\\\\d=\sqrt{36+4}=4.47units$

To calculate the perimeter of a rectangle, we use the equation:

$Perimeter=2(l+b)$ ....(1)

where,

l = length of the rectangle = BC = 5.66 units

b = breadth of the rectangle = CE = 4.47 units

Putting values in equation 1, we get:

$Perimeter=2(5.66+4.47)\\\\Perimeter=20.26 units$

Hence, the perimeter is about 20.26 units

7 0

3 years ago

Whats 0.235 in expanded form?

eduard

Two hundred thirty five thousandths. -Sorry I edited this. Didn't realize my error until I did the actual math.

If that's not what you're referring to by "expanded form" you may be referring to

235 * (1/1000)

8 0

3 years ago

a rectangle is 8cm longer then it is wide, and it’s area is 153cm^2. Find the dimensions of the rectangle.

Stolb23 [73]

Answer:

Width of 9cm and length of 17cm.

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the length is 8cm longer than the width. So l = 8 + w. So the area is A= (8+w)*w.

We also know the area is 153. Substitute this value for A and solve.

$153 = (8+w)(w)\\153 = 8w+w^2\\w^2+8w-153 = 0$

To solve the quadratic, use the quadratic formula:

$\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

Here a=1, b=8 and c=-153.

$w=\frac{-b+/-\sqrt{b^2-4ac} }{2a} \\w=\frac{-8+/-\sqrt{8^2-4(1)(-153)} }{2(1)} \\w=\frac{-8+/-\sqrt{64+612} }{2} \\w=\frac{-8+/-\sqrt{676} }{2} \\w=\frac{-8+/-26 }{2} \\w=\frac{-8+26 }{2}=\frac{18}{2}=9 \\and\\w=\frac{-8-26 }{2} =\frac{-34}{2}=-17$

Since w=9 or w=-17, substitute this value for w in l= 8+w to find l.

l = 8+9 = 17

l=8+-17 = -9

Since length cannot be positive, it must be l=17 and w=9.

8 0

3 years ago

Mary went to her local zoo that Featured 8 bird exhibits.If these birds Exhibit make up 40. 0% of the zoos exhibits then how man

kolbaska11 [484]

Answer:

11.2

Step-by-step explanation:

the first thing you wanna do it's to change 40% into a real number to do that you move the decimal 2 places to TV he left and make it 0.40 then you multiply 0.40 with 8 and you get 3.2 so you add 3.2 to 8 and the answer is 11.2

3 0

3 years ago