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Ostrovityanka [42]
3 years ago
8

****Please help me with this math problem!!**** Will give stars, thanks, and brainliest!! Josh solved the equation below. Is his

solution correct? Explain why or why not. (Please show work) x^2-6x-7=0 x^2-6x+7\x^2-6x+9=7+9 (x-3)^2=16 x-3=16 x=19 x-3=-16 x=-13 I am pretty sure he messed up when he decided he needed to do x-3 twice, because when there is a +/- sign is the only time you would do x-3 then x+3, right?
Mathematics
1 answer:
viva [34]3 years ago
6 0
<span><span>Graphical form</span><span>: x^2-6*x-7=0x^2-6*x+7x^2-6*x+9=7+9*(x-3)^2=16x-3=16x=19x-3=-16 simplifies to x^2-6*x-7=-12*x+7*x^2+9=9*(x-3)^2+7=16*x-3=16*x=19*x-3=-16 </span><span>:  
: <span>simplify( x^2-6*x-7=0x^2-6*x+7x^2-6*x+9=7+9*(x-3)^2=16x-3=16x=19x-3=-16)

Hope this helps</span></span></span>
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Question down below thanks
lara [203]

Answer:

-x + 1 > 3, and 4x + 6 < -2

Step-by-step explanation:

The inequality reads x < -2, so the arrow follows any values that are less than -2. So we need to simplify each inequality in the following options to see which match x < -2.

-4x+3> -5 simplifies to x < 2 so it's wrong

-2x + 4 > -4 simplifies to x < 4 so it's wrong

-x + 1 > 3 simplifies to x < -2, so it's right

2x + 5 < -3 simplifies to x < -4, so it's wrong

4x+ 6 < -2 simplifies to x < -2, so it's right

7 0
3 years ago
Please help me to solve all the questions would appreciate it if its with full working
Degger [83]

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

<h3>What are the total angles on a straight line?</h3>

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

<h3>What is ∠LKJ?</h3>

Recall that in angles in parallel lines:

  • Corresponding Angles are always congruent,  
  • Alternate Angles are always congruent, and
  • Interior According always sum up to 180°

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

<h3>What is ∠ALM?</h3>

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

<h3>What are the solutions to section B?</h3>

  1. Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that  ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

     2. The name given to the triangle mentioned above is Obtuse      

          Triangle. This is because one of the angles exceeds 90°.

Learn more about angles in parallel lines at:
brainly.com/question/24607467
#SPJ1

4 0
2 years ago
Eighteen 2.5 gallon buckets are needed to fill a cistern with water. how many 3 gallon buckets of water would gill the cistern?
sesenic [268]
The answer is 45 I believe.
3 0
3 years ago
Read 2 more answers
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used
e-lub [12.9K]
The answer is:
a = c ÷ 2
b = P - a - c

The perimeter is the sum of all sides of a polygon. The perimeter of the triangle is:
P = a + b + c
where
P - perimeter of the triangle,
a, b, c - sides of the triangle.

It is given: 
P = 14.5 cm
c = 6.2 cm

If, t<span>he longest side (c) is twice that of the shortest side (a), then
c = 2a
</span><span>Therefore, the equation that can be used to find the length of the shortest side is <u>a = c ÷ 2</u>.</span><span>

</span>⇒ a = c ÷ 2 = 6.2 cm ÷ 2
⇒ a = 3.1 cm

By knowing two sides (c and a) and perimeter (P), we can calculate the length of the third side (b).
If P = a + b + c, then <span>the equation that can be used to find the length of the side b is <u>b = P - a - c</u>.

</span>⇒ b = P - a - c = 14.5 cm - 6.2 cm - 3.1 cm
⇒ b = 5.2 cm<span>
</span>
6 0
3 years ago
The product of the slopes of perpendicular lines equals what?
d1i1m1o1n [39]

If two non-vertical lines are perpendicular, then their slopes are opposite reciprocals giving you -1.

:) Hope this helps.

8 0
3 years ago
Read 2 more answers
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