solve by completing the square:

x^2+3x-70=0 (Answer: -10, 7)

x^2=-10x-30 (Answer: { })

help and with explanation; will give brainliest

Answers

Answer 1

Answer:

Step-by-step explanation:

x² + 3x - 70 = 0

x² + 3x = 70

x² + 3x + (3/2)² = 70 + (3/2)²

(x + 3/2)² = 70 + 9/4 = 289/4 = (17/2)²

so

x + 3/2 = ±17/2

x = ±17/2 - 3/2

x₁ = 17/2 - 3/2 = 14/2 = 7

x₂ = -17/2 - 3/2 = -20/2 = -10

x² = -10x - 30

x² + 10x = -30

x² + 10x + (10/2)² = -30 + (10/2)²

x² + 10x + 25 = -30 + 25 = -5

(x + 5)² = -5

[tex]x+5 = \pm\sqrt{-5}\\x + 5 = \pm i \sqrt{5}\\x = -5\pm i \sqrt{5}\\\\x_1 = -5+ i \sqrt{5}\\\\x _2= -5- i \sqrt{5}\\[/tex]


Related Questions

Help help help math math

Answers

Answer:

x=5

Step-by-step explanation:

[tex] \frac{ - 8 - 2x}{3} = - 6[/tex]

[tex] - 8 - 2x = - 18[/tex]

[tex] - 2x = - 10[/tex]

[tex]x = 5[/tex]

A foot contains 12 inches 5 inches is what fraction of a foot ​

Answers

Answer:

5/12 inches

Step-by-step explanation:

also, stop deleting my answers whoever you are

Answer:

5/12

Step-by-step explanation:

5/12 it is very easy

An isosceles triangle has one angle with a measure of 30°. What could the measure of the other two angles be?

30° and 30°
30° and 120°
75° and 75°
30° and 100°

Answers

The answer is 75° and 75°.

if 30% of a number is 150, what is 40% of that number?

Answers

It’s 200 .
30/100 * x = 150
X = 500
And then 40 percent of this is 200



Given the graphs of f(x) = 2x + 1 and g(x) = 5x – 2, what is the solution to the equation f(x) = g(x)?
A) 0
B) 1
C) 3
D) –2

Answers

Answer:

1 is answer

2x+1=5x-2

5x-2x=1+2

3x=3

x=3

Find angle C, can someone help me with this please?

Answers

Angle C= 98°

Explanation:

First, find angle T, which will be 180°-130° (Angle T=50°)

Now you can work out for x
You know that all the angles in a triangle add up to 180°, which means that 50+x+(3x+2)=180°
Change subjects in order to find the value of x first
x+3x=180-50-2
4x=128
x=32

Now that you found the value of x, substitute it into the value of angle C
Angle C= 3x+2
Angle C= 3(32)+2
Angle C=98°

Answer:

m∠C = 98°

Step 1: Derive an Equation

To solve this problem, we will use what is called the Exterior Angle Theorem. This states that in a triangle, the measure of an exterior angle is equal to the sum of the measures of its 2 corresponding remote interior angles.

Exterior angle - an angle formed by the extension of 1 side of the triangleRemote interior angles - the 2 angles that don't share a vertex with the exterior angle

In this case, the exterior angle is ∠T (the obtuse one) and the remote interior angles are ∠C and ∠Y. Therefore, m∠T = m∠C + m∠Y.

Substituting the given measures into the equation, we get:

[tex]3x+2+x=130[/tex]

Step 2: Solve the Equation

[tex]3x+2+x=130[/tex]

[tex]4x+2=130[/tex] (Combine like terms)

[tex]4x=128[/tex] (Subtract 2 from both sides to isolate [tex]x[/tex])

[tex]x=32[/tex] (Divide both sides by 4 to get rid of [tex]x[/tex]'s coefficient)

Step 3: Answer the Question

We now know what [tex]x[/tex] is. Therefore, m∠C = [tex]3*32+2=\bf 98 \textdegree[/tex].

To learn more about the Exterior Angle Theorem, check out the following questions:

https://brainly.com/question/17147409https://brainly.com/question/6330929

Write 43/19 as a decimal rounded not the nearest 100th

Answers

Answer: So you're looking for 43/19 but not to the nearest hundredth, so maybe your teacher is looking for the decimal to be rounded to the nearest tenth or one thousandth... Here's how you would solve this...

Step-by-step explanation:

49/13 or 49 ÷ 13

49/13 = 3.76923076923

To the Nearest 10th: Answer ≈ 3.8

To the Nearest 1,000th: Answer ≈ 3.769

To the Nearest 100th: Answer ≈ 3.77

Note: I listed the nearest 100th in case you need it, I hope this helps you!

Original price of a shirt: $76.50
Discount: 55%
Tax: 6%




Please help dont just answer a wrong answer I give 80 points to who answers it

Answers

Answer:

I believe the answer is $36.50.

Step-by-step explanation:

First, I subtracted 55% of the original price of the t-shirt to the original price of the t-shirt. Then, I added 6% of the price to the discounted price of the t-shirt.

I believe this is right.

55/100 x 76.50 = 42.075
76.50- 42.075 = 34.425
6/100 x 34.425 = 2.06
34.425+2.06 = 36.485
Rounded- 36.49
So your answer is $36.49

Find the length of TV.

Answers

Answer:

30units

Step-by-step explanation:

Hope this answers helps you

The Formula for the volume of a right square pyramid is given down below, where a is the side length of the base and h is the height.
V= 1/3a^2h
Rewrite the formula and solve for a
PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT ​

Answers

Answer: Is it B? I hope it helps you :)

Step-by-step explanation:

22 ounces =
how many pounds

Answers

Answer:

1 3/8 lbs or pounds

Step-by-step explanation:

1 pound is 16 ounces

22 ÷ 16 = 22/16 = 11/8 = 1 3/8

Cole rides his bike to the ball field starting from home. This describes his trip:

A. Rides toward the field
B. Stops to wait for a friend
C. Continues to ride toward the field

Drag one segment to each box to show the shape of the graph of Cole's distance from home for each interval of time. PLS HELP I GIVE 25 points

Answers

Answer:

i think it is a because that the answer

How do I solve for X

Answers

Answer:

x=16

Step-by-step explanation:

so since a right angle is shown the it's telling that it's an isosceles triangle so you do 22-6=16

answer=16

The equation is written as x + 6 = 22. Then the value of the variable 'x' will be 16.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

From the figure, line AB is divided into two equal parts. Then the triangles will be congruent with each other by SAS postulates.

Then the side length (x + 6) is equal to the side length (22). Then the equation is given as,

x + 6 = 22

Simplify the equation, then we have

x + 6 = 22

x = 22 - 6

x = 16

The equation is written as x + 6 = 22. Then the value of the variable 'x' will be 16.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Homework Section 9.. On a photograph of a triangular piece of land, the lengths of the three sides are 6 cm, 8 cm, and 9 cm, respectively The shortest side of the actual piece of land is 180 m long Find the lengths of the other two sides​

Answers

Answer:

Step-by-step explanation:

180m = 180 * 100 = 18000 cm

Scale factor = 6 : 18000

                    = 1 : 3000

Length of other two sides:

8*3000 = 24000 cm  = 240 m

9 * 3000 = 27000 cm = 270 m

(GIVING BRAINLIST)
The tables in the pottery class sit 8 students each. If there are 35 students in the class, how many tables are needed?
Group of answer choices

5

4

280

4.375

Answers

Answer:

The answer for this oblique question is 4.375

Step-by-step explanation:

for 35 ÷ 8 = 4.375

Answer:

35/8=4.375

5 tables needed

Step-by-step explanation:

35/8=4.375

you have to round cuz there can't be 0.375% of a student

and there can't be 0.375 of a table...so it's 5 tables

PLEASE HELP WILL GIVE BRAINLIEST!

The graph of Y equals X as shown in the graph below which equation represents the transformed function?

Answers

Answer:

a

Step-by-step explanation:

g(×)=(3×+12)/4
Find g^-1(×)
g^-1(6)

Answers

Answer:

fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

f

(

x

)

=

3

2

x

,

g

(

x

)

=

3

x

2

+

2

Set up the composite result function.

g

(

f

(

x

)

)

Evaluate

g

(

f

(

x

)

)

by substituting in the value of

f

into

g

.

g

(

3

2

x

)

=

3

(

3

2

x

)

2

+

2

write an equivalent expression for (x+y)(x-y)

Answers

Step-by-step explanation:

(x+y)(x-y)

=> [tex] {x}^{2} - {y}^{2} [/tex]

The box plot below represents some data set. What is the range of the data?
20
40
60
80
100
Answer:
Submit Answer

Answers

Answer:

either 40 or 20 I am thinking

Nelson paid $25.95 for each adult hat and $13.95 for each youth hat he bought. Nelson bought 3 adult hats and 4 youth hats. How much money did he spend on the hats all together?

Answers

Answer:

Step-by-step explanation:

25.95 x 3 = 77.85

13.95 x 4 = 55.8

77.85 + 55.8 = 133.65

If the answer is L * W * H then why do you have to divide once you get to H to get the correct answer?

Answers

Answer:

Hi! I'm not quite sure what you entirely mean by this but I'll try to help. LxWxH is a formula used to find the volume of a rectangular prism or a box. If this is what you are using it for then there shouldn't a reason to divide. Unless maybe you're trying to find half of a box or you are trying to find the value of one of these in an equation but that's the only thing I can think of. Do you think you might be able to post an example in the comments?

Step-by-step explanation:

What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box.

Answers

Answer:

The mean is 6.2.

Step-by-step explanation:

The "mean" is the same thing as the "average". Essentially, the question is asking for the average of the numbers.

So:

Add up all of the terms. [6 + 11 + 5 + 2 + 7] = 31

You find the average by dividing the sum of the terms (31) by the number of terms (5).

31/5 = 6.2

The mean is 6.2.

I hope this helped! :)

What is the are of this figure???

Answers

Answer:

44 sq. cm

Step-by-step explanation:

I promise it's right, I did the math.

Please help me thank you!!

Answers

Answer:

[tex]F(t)=6000(0.343)^{t}[/tex]

Step-by-step explanation:

a = 6000, b = 0.7³ = 0.343

so

[tex]F(t)=6000(0.343)^{t}[/tex]

0.05194 rounded to the nearest tenth

Answers

Answer:

0.1

0.05194 rounds to 0.1, as it is shifted more towards 0.1 than 0.0 on a number line

Consider △DEF with vertices D(−5,−3),E(−1,1), and F(3,−7). Find the coordinates of the vertices of the final image of △DEF after the similarity transformation.

Answers

D(-5,-3) = D’(-8,-8) = D”(-2,-2)
E(-1,1) = E’(-4,-4) = E”(-3.75,-3.75)
F(3,-7) = F’(-1,-12) = F”(-0.25,-3)

Is this correct?
Or the remainder must be 17.

Answers

Answer:

no, it isn't correct

Step-by-step explanation:

the answer is 13.4705 I'm pretty sure

Answer:

Both

Step-by-step explanation:

Your calculations are correct actually 100% correct but may I ask where do you get a remainder of 17.

Because do you see where you have 118 - 102 =16 that is your remainder so you are correct but what the question was wrong.

Your answer is 13 with a remainder of 16.

You did a great job and didn't need my help but I do hope this helps have a great day:)

What is the distance between the points (–4, –8) and (10, –8)?

Answers

Answer:

  14 units

Step-by-step explanation:

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

  distance = 10 -(-4) = 10 +4 = 14

The distance between the points is 14 units.

Answer:

14 units

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

Step-by-step explanation:

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

 distance = 10 -(-4) = 10 +4 = 14

The distance between the points is 14 units.

Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat. suppose Bobbys cat and dog were 6 miles apart after 30 min. Write an equation to describe this situation

Answers

The equation to describe this situation is that Bobby's cat and dog were 6 miles apart after 30 minutes is 0.5x = 6

Bobby's cat's speed

Since Bobby's cat runs at x mph, its speed is x mph.

Bobby's dog's speed

Also, Bobby's dog runs twice as fast as his cat. So, his dog's speed is v = 2x.

Time

Since they both move a distance in t = 30 min = 30 min × 1 h/60 min = 0.5 h.

Bobby's cat's distance

Bobby' cat's distance in 30 mins is d = x × 0.5 h

= 0.5x miles

Bobby's dog's distance

Also, Bobby's dog covers a distance in 30 min, D = v × 0.5 h

= 2x × 0.5 h

= x miles

The required equation

Since Bobbys cat and dog were 6 miles apart after 30 min, we have that

D - d = 6

x - 0.5x = 6

0.5x = 6

So, the equation to describe this situation  that Bobby's cat and dog were 6 miles apart after 30 minutes is 0.5x = 6

Learn more about linear equations here:

https://brainly.com/question/15602982

Answer:

1.5x=6

Step-by-step explanation:

after 30 min they will be 1.5x miles apart from each other, so you know that they traveled 6 miles, 1.5x=6 :)

Rsm sucks :(

remove the parentheses
8(8+v)
HELPP PLSS

Answers

Answer:

64+8v

Step-by-step explanation:

8(8+v)

distribute

64+8v

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