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3 years ago

4. Simplify the following expression: 3(5 – 12) + 4 ÷ 2 (1 point)

1 answer:

5 0

The first one is - 19 and the second one is -14 which is not an answer so maybe the choices are incorrect but basically you use bodmas

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a cube with side lengths s has a volume of 64 cubic units. what is the length of the side of the cube?

Mademuasel [1]

Answer:

4 units

Step-by-step explanation:

volume of cube = 64 cubic units

$\therefore \: {s}^{3} = 64 \\ \\ \therefore \: {s}^{3} = {4}^{3} \\ \\ \therefore \: {s}= {4} \: units$

6 0

3 years ago

PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

2 years ago

Is the product of 2 perfect squares always a perfect square?

nexus9112 [7]

<span> The product of two perfect squares is a perfect square.

Proof of Existence:
Suppose a = 2^2 , b = 3^2 [ We have to show that the product of a and b is a perfect square.] then
c^2 = (a^2) (b^2)
= (2^2) (3^2)
= (4)9
= 36
and 36 is a perfect square of 6. This is to be shown and this completes the proof</span>

3 0

3 years ago

Which expression is even for all integers a and b?

Irina18 [472]

Do u have a problem that went with this?

3 0

2 years ago

Read 2 more answers

You arrive in my class 45 seconds after leaving math which is 90 meters away

GenaCL600 [577]

If you are looking for the average speed, it is 2m/1 sec.

3 0

2 years ago