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2 years ago

Solve Multi-Step Equations, Part 2 - Instruction

Mathematics

2 answers:

Citrus2011 [14]2 years ago

4 0

Answer:

g = -0.5 or -1/2

Step-by-step explanation:

-10(g – 6) = 65 : apply distributive property

(-10 • g) + (-10 • -6) = 65 : multiply

-10g + 60 = 65 : apply property of equal subtraction

-10g + 60 – 60 = 65 – 60 : subtract

-10g = 5 : apply property of equal division

-10g ÷ -10 = 5 ÷ -10 : divide

g = -0.5

Irina18 [472]2 years ago

3 0

Answer:

g = -0.5

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

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8. Solve 10+ 6(-9 - 4x) = 10(x - 12) + 8.<br> A. X=-18<br> O B. x = 17<br> O C.x= 2<br> O D. X = -6

RUDIKE [14]

Your answer should be C. X = 12

Steps to --> 10+ 6(-9 - 4x) = 10(x - 12) + 8

10 + 6 (-9 - 4x)

= 10 - 54 - 24x

= -24x - 44

10 (x - 12) + 8

= 10x - 120 + 8

= 10x - 112

-24x = 10x - 68

-24x - 10x = 10x - 68 - 10x

-34x = -68

-34x/-34 = -68/-34

x = 2

5 0

3 years ago

Consider two identical iron nails: one nail is heated to 95 °c, the other is cooled to 15 °c. the two nails are placed in a coff

Angelina_Jolie [31]

The heat released or absorbed by a substance is calculated through the equation,
H = mcpdT

where H is teh heat,
m is the mass,
Cp is the specific heat, and
dT is the temperature difference

In this item, since both nails are identical, m and cp for both nails are equal such that the equation can be expressed as,
mcp(95 - x) = mcp(x - 15)

where x is the final temperature. Solving for the value of x from the equation derived above will give us a final answer of 55 degrees C.

Answer: 55°

3 0

3 years ago

Type SSS, SAS, ASA, AAS, or HL to justify why AABC = ADEF.<br><br> AC FD and AB = DE

bezimeni [28]

The theorem that justifies why triangles ABC and DEF are congruent is: HL.

<h3>What is the Hypotenuse-Leg Congruence Theorem (HL)?</h3>

The hypotenuse-leg congruence theorem (HL) states that if two triangles that are right triangles have a pair of congruent hypotenuse and a pair of corresponding congruent legs, then both right triangles are proven to be congruent to each other. This means both right triangles are have the same shape and size.

Given that:

angle ABC = angle DEF = 90° (congruent right angles, this means both triangles are right triangles)

AC = FD (a pair of congruent hypotenuse)

AB = DE (a pair of congruent legs)

Thus, we can conclude that since triangle ABC and triangle DEF have a pair of congruent hypotenuses and a pair of congruent legs, therefore, the two right triangles, triangle ABC and triangle DEF are congruent to each other by the HL congruent theorem.

Thus, the theorem that justifies why both triangles are congruent is: HL.

Learn more about the HL congruence theorem on:

brainly.com/question/2102943

#SPJ1

3 0

1 year ago

Read 2 more answers

Someone please help me

Free_Kalibri [48]

D. y = 3x + 2

Check (-4, -10)
-10 = 3(-4) + 2
-10 = -12 + 2
-10 = -10 :)

Check (-3, -7)
-7 = 3(-3) + 2
-7 = -9 + 2
-7 = -7 :)

Check (-2, -4)
-4 = 3(-2) + 2
-4 = -6 + 2
-4 = -4 :)

Check (-1, -1)
-1 = 3(-1) + 2
-1 = -3 + 2
-1 = -1 :)

Check (0, 2)
2 = 3(0) + 2
2 = 0 + 2
2 = 2 :)

4 0

3 years ago

The area of a rectangular field is 48m2 and one of its sides is 6m . How long will a lady take to cross the field diagonally at

tatiyna

Answer:

It will take her approximately 28 seconds to cross the diagonal of the pitch

Step-by-step explanation:

If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.

Step one: Find the length of the field from its area.

The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.

i.e area = length X breadth.

Let us assume that the breadth = 6m

its length will be area / breadth = 42/ 6 = 7m

The length of the pitch = 7 m

Step Two: Find the length of the diagonal using Pythagoras' theorem.

From Pythagoras'theorem, the length of the diagonal can be obtained by

$diagonal = \sqrt{l^2 +b^2}$

$diagonal = \sqrt{6^2+ 7^2} = 9.22m$

The length of the diagonal is 9.22m

Step three: Find the time using her speed and the distance she needs to cover.

Time = distance / speed

time = 9.22 /20 = 0.46 minutes

It will take her approximately 28 seconds to cross the diagonal of the pitch

6 0

3 years ago