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Salsk061 [2.6K]

4 years ago

9

The quotient of 4/1/2

1 answer:

ale4655 [162]4 years ago

8 0

Answer:

the quotient is 2

Step-by-step explanation:

4/1=4

4/2=2

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Here is rectangle QRST.

ValentinkaMS [17]

Answer:

QR = 5 units

RS = 10 units

Perimeter of QRST = 30 units

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

$p=2(l+w)$

where

$p$ is the perimeter of the rectangle

$l$ is the length of the rectangle

$w$ is the width of the rectangle

Now, to find the width, QR, and the length, RS, of the rectangle, we are using the distance formula:

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

where

$d$ is the distance

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

- For QR:

The first point of QR is Q(-3, 0) and the second is R(0, 4), so $x_1=-3$ , $y_1=0$ , $x_2=0$ , and $y_2=4$ .

Replacing values

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

$d=\sqrt{(0-(-3))^{2}+(4-0)^{2}}$

$d=\sqrt{(0+3)^{2}+(4)^{2}}$

$d=\sqrt{3^{2} +4^{2}}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

$d=5$

- For RS

The first point of RS is R(0, 4) and the second is S(8, -2), so $x_1=0$ , $y_1=4$ , $x_2=8$ , and $y_2=-2$ .

Replacing values

$d=\sqrt{(8-0)^{2}+(-2-4)^{2}}$

$d=\sqrt{(8)^{2}+(-6)^{2}}$

$d=\sqrt{64+36}$

$d=\sqrt{100}$

$d=10$

Now that we know that the width QR is 5 units and the length RS is 10 units, we can find the perimeter of our rectangle:

$p=2(l+w)$

$p=2(RS+QR)$

$p=2(10+5)$

$p=2(15)$

$p=30$

We can conclude that QR = 5 units, RS = 10 units, and the perimeter of rectangle QRST is 30 units.

3 0

3 years ago

Read 2 more answers

Solve the equation using square roots. (X+3)^2=0

Vilka [71]

Answer:

x=3

Step-by-step explanation:

(x−3)^2=0

Set the x−3 equal to 0.

x−3=0

Add 3 to both sides of the equation.

x=3

7 0

3 years ago

A line passes through the points (1, –6) and (4, 3).

Ivanshal [37]

Answer:

y = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (4, 3)

m = $\frac{3+6}{4-1}$ = $\frac{9}{3}$ = 3

y = 3x + c ← is the partial equation

To find c substitute any of the 2 points into the partial equation

Using (4, 3), then

3 = 12 + c ⇒ c = 3 - 12 = - 9, hence

y- intercept c = - 9 ⇒ (0, - 9 )

8 0

3 years ago

Read 2 more answers

Solve the following logarithm equation<br> log5(10 + x) = log5(3 + 4x)

devlian [24]

That equation tells us that (10 + x) = (3 + 4x). Can you handle it from there ?

6 0

3 years ago

Write these values in order, starting with the smallest.<br> 0.5<br> 5%<br> 5

NARA [144]

5%, 0.5, 5 from smallest to largest.

8 0

3 years ago

Read 2 more answers