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Lostsunrise [7]
3 years ago
9

Simplify the product.

Mathematics
2 answers:
Marina86 [1]3 years ago
8 0
(x - 4)(x + 3) = x^2 + 3x - 4x - 12 = x^2 - x - 12
const2013 [10]3 years ago
6 0
In order to simplify the product, multiply the factors by taking the term in the first factor and multiplying it to every term in the second factor. Then take the second term in the first factor and multiply it to every term in the second factor. Add all terms and the correct answer is x^2 - x -12
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Solve the equation for y.<br> 3x + 7y= 29
Oxana [17]

Answer:

y = \frac{29-3x}{7}

Step-by-step explanation:

3x + 7y = 29 ( subtract 3x from both sides )

7y = 29 - 3x ( divide both sides by 7 )

y = \frac{29-3x}{7}

5 0
2 years ago
Complete the proof by providing the missing statement and reasons
Lisa [10]

Answer:

In triangle SHD and triangle STD.

\overline{SD} \perp \overline{HT}          [Side]

Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.

⇒ \angle SDH = \angle SDT = 90^{\circ}

\overline{SH} \cong \overline{ST}       [leg]               [Given]

Reflexive property states that the value is equal to itself.

\overline{SD} \cong \overline{SD}       [Leg]       [Reflexive property]

HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.


then, by HL theorem;

\triangle SHD \cong \triangle STD                       Proved!



6 0
3 years ago
Jon has $45.00 .He plans to spends 4/5 of his moneyon sports equipment. how much will he spend
GalinKa [24]
He will spend $36.00 on sports equipment.
5 0
3 years ago
Read 2 more answers
What is the solution to {2x +3y=11 and 3x+3y=18
ra1l [238]

Answer:

The ordered pair that satisfies the equation is (7, -1)

Step-by-step explanation:

In order to find this, we can solve by subtracting. Start by stacking the two equations on top of one another and subtracting like terms.

3x + 3y = 18

(-) 2x + 3y = 11

--------------------

x = 7

Now that we have the value for x, we can plug in to either equation to find y.

2x + 3y = 11

2(7) + 3y = 11

14 + 3y = 11

3y = -3

y = -1

5 0
3 years ago
A young boy let’s out 30 feet of string on his kite. If the angle of elevation from the boy to his kite is 27”, how high is the
const2013 [10]

Answer:

The height of the kite from the ground is 13.617 feet  

Step-by-step explanation:

Given as :

The measure of the string = 30 feet

The angle of elevation from the boy to his kite = 27°

Let the height of the kite from ground = H feet

So, From Triangle

Sin angle = \dfrac{\textrm perpendicular}{\textrm Hypotenuse}

Or, Sin 27° =  \dfrac{\textrm H}{\textrm 30}

or, H = 30 ×  Sin 27°

I.e H = 30 × 0.4539

∴ H = 13.617 feet

Hence the height of the kite from the ground is 13.617 feet   Answer

7 0
3 years ago
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