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3 years ago

Which of the following equations has the same solution as the equation 3x+2y= -12?

1 answer:

5 0

-3x - 2 = 12 is the answer
Take the original problem and input (-2,-3)
3(-2) + 2(-3) = -12
-6 + -6 = -12
Now input into new problem:
-3(-2) - 2(-3) = 12
6 + 6 = 12
PLEASE GIVE BRAINLIEST

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A triangular pyramid has a volume of 84 cubic centimeters. The triangular base has a 14-centimeter base and a 8-centimeter heigh

Katen [24]

Answer:

4.5 cm.

Step-by-step explanation:

The volume of the pyramid = 1/3 * area of the base * height.

Area of the triangle = 1/2 * base * height

= 1/2 * 14 * 8

= 56 cm^2.

So the volume of the pyramid =

84 = 1/3 * 56 * h

h = 84 / (1/3 * 56)

h = 84 * 3 / 56

= 4.5 cm.

5 0

3 years ago

X+23=63 the answer to this to X

scZoUnD [109]

To get the answer you would have to subtract 23 from both sides and you would get
X+23-23= 63-23

this would leave you with
X= 40

3 0

3 years ago

A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude

I am Lyosha [343]

Answer:

Area of given triangle is 939.15cm² and smallest altitude is 30.8cm

<h3>Solution:</h3>

We are given three sides of a triangle, Let the sides be :

( a ) = 35 cm

( b ) = 54 cm

( c ) = 61 cm

We can find the area of the triangle with its three sides using Heron's Formula

<u>Heron's </u><u>Formula</u>

Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:

$\sf{ \pmb { \longrightarrow \: \sqrt{s(s - a)(s - b)(s - c)} }}$

where ( s ) :

$\sf \longrightarrow s = \dfrac{a + b + c}{2}$

Therefore, for the given triangle first we will calculate ( s )

$\begin {aligned}\quad & \quad \longmapsto \sf s = \dfrac{a + b + c}{2} \\ & \quad \longmapsto \sf s = \dfrac{35 + 54 + 61}{2} \\ & \quad \longmapsto \sf s = \dfrac{150}{2} \\ & \quad \longmapsto \sf s = 75cm \end{aligned}$

Now, Area of triangle will be:

$\begin{aligned}&:\implies \sf\quad \sf \: A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \: A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)} \\&:\implies \sf\quad \sf \: A = \sqrt{75 \times 40 \times 21 \times 14} \\ &:\implies \sf\quad \sf \: A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5} \\ &:\implies \sf\quad \sf \: A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5} \\ &:\implies \sf\quad \sf \: A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf A =939.15 {cm}^{2} }} \end{aligned}$

Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,

$\begin{aligned}&:\implies \sf\quad \sf \: Area =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times b \times h =939.15 \\ &:\implies \sf\quad \sf \: \dfrac{1}{2} \times 61 \times h = 939.15 \\&:\implies \sf\quad \sf \: h =939.15 \times \dfrac{2}{61} \\&:\implies \sf\quad \sf \: h = \dfrac{1818.3}{61} \\ &:\implies \sf\quad \boxed{ \pmb{\sf \: h =30.79 \: (approx)}} \end{aligned}$

3 0

2 years ago

Read 2 more answers

The scale for the drawing of a rectangular playing field is 2 inches=7 feet. Find an equation you can use to find the dimensions

lina2011 [118]

Answer:

The actual answer is 7/2

Step-by-step explanation:

5 0

3 years ago

For brainliest please help!

Advocard [28]

Answer:

negative multiples of 3 less than -3

Step-by-step explanation:

if m <9, then

m ={8,7,6,5,4,3,2,1,0,-1,-2,....,..........}

And |6m-55|

So is said that,

when, m= 8

6(8)-55=-6

when, m=7

6(7)-54=-12

when, m = 6

6(6)-54=-18

Since the trend is negative multiples of 3 less than -3

this is my answer

8 0

3 years ago