Help this is geometry find x

Answer:

1. D = 48, two; 2. D =  -8, none; 3. D =   0, one

4.D =  81, two; 5. D = -91, none; 6. D = 49, two

Step-by-step explanation:

The formula for a quadratic equation is

ax² + bx + c = 0

The quadratic formula gives the roots:

[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} = \dfrac{-b\pm\sqrt{D}}{2a}[/tex]

D is the discriminant.

It tells us the number of roots to the equation — the number of times the graph crosses the x-axis.

[tex]D = \begin{cases}\text{positive} & \quad \text{2 real solutions}\\\text{zero} & \quad \text{1 real solution}\\\text{negative} & \quad \text{0 real solutions}\\\end{cases}[/tex]

It doesn't matter if the graph opens upwards or downwards.

If D > 0, the graph crosses the x-axis at two points.

If D = 0, the graph touches the x-axis at one point.

If D < 0, the graph never reaches the x-axis.

1. x² + 6x - 3 =0

a= 1; b = 6; c= -3

D = b² - 4ac  = 6² - 4×1×(-3) = 36 - 4(-3) = 36 + 12 = 48

D > 0: two real solutions

2. 3x² + 2x + 1 = 0

a = 3; b = 2; c =1

D = b² - 4ac  = 2² - 4×3×1 = 4 - 12 = -8

D < 0: no real solutions

3. x² + 4x + 4 = 0

a = 1; b = 4; c =1

D = 4² - 4×1×4  = 16 - 16 = 0

D = 0: one real solution

4. 5x² + x = 4

5x² + x - 4 = 0

a = 5; b = 4; c = -4

D = 1² - 4×5×(-4)  = 1 - 20(-4) = 1 - (-80) = 1 + 80  = 81

D > 0: two real solutions

5. 5x² - 3x = -5

5x² - 3x + 5=  0

a = 5; b = -3; c = 5

D = (-3)² - 4×5×5  = 9 - 100 =  -91

D < 0: no real solutions

6. x² - x  = 12

x² - x - 12=  0

a = 1; b = 1; c = -12

D = 1² - 4×1×(-12)  = 1 - 4(-12) = 1 + 48 =  49

D > 0: two real solutions

Answer:

There is an average of 3.75 people per family (Also known as 4, because you can't have 0.75 of a person)

Step-by-step explanation:

[tex]\frac{1+1+1+2+2+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+4+4+4+4+4+5+5+5+5+5+5+5+5+5+5+5}{36}[/tex]

Answer:

x = 32

y = 35

Step-by-step explanation:

x = 32 because they are vertical angles. Vertical Angles means a pairs of opposite angles made by two intersecting lines.

y = 35 because the vertical angle for y is 35 (view attached image below). Also, if we add all the angles together in the image, it comes out to a sum of 360 degrees, which is a full circle.

Answer:

x=32 degrees

y=35 degrees

Step-by-step explanation:

trust me

Answer:

$2,400

Step-by-step explanation:

Ken intends to start a savings account

10% = leisure spending

This means 90% = Expenses for school

Let us represent the amount he must save as : x

Hence in other for him to have $2,160 in his savings account, the amount Ken must earn is calculated as:

90/100 × x = $2,160

Cross Multiply

90x = $2,160 × 100

x = ($2,160 × 100) ÷ 90

x =$2,400

Therefore, the amount Ken has to earn to have the amount needed for school is $2,400

Answer:

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.

Two-column proof:

Two-segment geometric evidence comprises of a rundown of explanations, and the reasons that we realize those announcements are valid. The announcements are recorded in a segment on the left, and the purposes behind which the announcements can be made are recorded in the correct section. A scientific evidence might be composed utilizing a passage, two-sections, or utilizing a stream diagram. The two-section verification is the strategy we use to introduce a sensible contention utilizing a table with two segments. Significant data is generally given to help start a proof and is normally the beginning stage everything being equal.

please mark me as brainliest!

Answer:

y > 4/3 x  - 2.

Step-by-step explanation:

First find the equation of the dashed line:

The slope (-6-2)/(-3-3)

= -8/-6

= 4/3.

y - y1 =m(x - x1)   where m = slope and (x1,y1) is a point on the line.

y  - 2= 4/3(x - 3)

y =  4/3(x - 3) + 2

y = 4/3 x  - 2

As the shading is above the line the answer is

y > 4/3 x  - 2.

Answer: A

Y>4/3x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2x-3y+9=0\\Rearrange -in-form-of : y = mx+b\\-3y=0-9-2x\\-3y=-2x-9\\\frac{-3y=-2x-9}{-3} \\y =\frac{2}{3} \\\\For- parallelism- , m1=m2\\One -point- form (-1,-1)\\x1 = -1\\y1 = -1 \\m = \frac{2}{3}\\ y -y1=m(x-x1)\\y -(-1)=\frac{2}{3} (x-(-1))\\y+1=\frac{2}{3}(x+1)\\y+1=\frac{2}{3}x + \frac{2}{3}\\\\y = \frac{2}{3}x + \frac{2}{3}-1\\\\y = \frac{2}{3}x - \frac{1}{3}\\Multiply- through-: by 3 \\3[y = \frac{2}{3}x - \frac{1}{3}]\\\\3y = 2x -1\\Answer = 2x-3y-1=0[/tex]

Answer: there are 36 tourists.

Step-by-step explanation:

Ok, we have two integer numbers:

T, the number of tourists and S, the number of seats.

Such that, if we divide the tourists into groups of 4 and in groups of 6, we end with no empty seats.

Knowing that the number S must be an integer, and when we divide T into groups of 4 and 6 we end with no empty seats, this means that T can be divided by 4 and by 6.

This means that T is a common multiple of 4 and 6

Now, we also know that 25 < T < 45.

Then let's see which ones are the multiples of 4 between 25 and 45.

4*7 = 28

4*8 = 32

4*9 = 36

4*10 = 40

4*11 = 44.

Now, the multiples of 6 in that range are:

6*5 = 30

6*6 = 36

6*7 = 42.

You can see that 36 is a common multiple, other way to see it is:

4*9 = (2*2)*(3*3) = 2*2*3*3 = (2*3)*(2*3) = 6*6

So the numer of tourist must be 36.

Answer:

b = (d-c)/a

Step-by-step explanation:

ab+c=d

Subtract c from each side

ab+c-c=d-c

ab = d-c

Divide by a

ab/a = (d-c)/a

b = (d-c)/a

Answer:

B is my best guess!

Step-by-step explanation:

Answer:

The equation has no solution

Step-by-step explanation:

The following information is missing:

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11.

Her work is shown below.

4(x – 1) – x = 3(x + 5) – 11

4x – 4 – x = 3x + 15 – 11

3x – 4 = 3x + 4

This means that the equation has no solution, because if we simplify her last term, we get:

-4 = 4

wich has no sense. In other words, there is no x value which satisfy:

3x – 4 = 3x + 4

Answer: C on edg;)

Step-by-step explanation:

Answer:

g(x) = x^3

Step-by-step explanation:

f(x)=(x+3)^3

The parent function is

g(x) = x^3

The function was shifted to the left 3 units from the parent function

f(x) = ( x- -3) ^3

f(x) = ( x+3) ^3

Answer:

C = 16 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * pi *8

C = 16 pi

Answer:

[tex] = 16\pi \: ft \\ [/tex]

Step-by-step explanation:

[tex]c = 2\pi \: r \\ = 2 \times \pi \times 8 \\ = 16\pi \: ft[/tex]

hope this helps you

Answer:

Step-by-step explanation:

[tex]30\% \times 500 \\ 0.3 \times 500 \\ = 150[/tex]

Answer: the answer is 150

Step-by-step explanation:

30% x 500

0.3 x 500

= 150

Answer:

x=8.5

Step-by-step explanation:

(6x+1)+(2x+10)=79

6x+2x    1+10

8x +11=79

-11        -11

8x=68

÷8   ÷8

x=8.5

Answer:

The equation is 3mx1/4t=9

Step-by-step explanation:

step 1) 3mx1/4t=9

step 2) 3m=36

step 3) there was 12 pieces of cake

Answer:

rotation by 180°

Step-by-step explanation:

about its center, reflection across a diagonal, reflection across a line joining the midpoints of the nonparallel sides,rotation by 360° about its center. hope this helps you :)

Answer:

See below.

Step-by-step explanation:

Recall that the biggest angle will always be opposite from the biggest side.

IT is opposite from Angle S, which we can figure out to be 180-108-25=47.

SI is opposite from Angle T, which is 41.

ST is opposite from Angle I (the whole thing). Just from looking at it, we know that it is the biggest angle. If we want to figure it out, Angle I is 180-41-72+25=92.

The smallest side is SI, then IT, then ST.

The correct order is: SI, IT, and ST.

Answer:

2x³ - 2x² - 2

Step-by-step explanation:

Step 1: Rewrite expressions

2x² - 4x³ - 4x² + 6x³ - 2

Step 2: Combine like terms

2x³ - 2x² - 2

Answer:

A

Step-by-step explanation:

Answer:

416 sq ft

Step-by-step explanation:

2*(10 x10) + (8 x 12) + (12 x 10) =

200 + 96 + 120 =

416 sq ft.

Answer:

1/3 and 1/2

Step-by-step explanation:

This is approximately equal to 0.167

====================================================

Explanation:

A = event of getting either a 1 or 2

P(A) = probability event A occurs

P(A) = 2/6 = 1/3, since there are two ways to get "1 or 2" out of six total

B = landing on heads

P(B) = 1/2, there are two sides and only one is heads

P(A and B) = probability getting a 1 or 2 and flipping heads on a coin

P(A and B) = P(A)*P(B) .... only possible if A and B are independent

P(A and B) = (1/3)*(1/2)

P(A and B) = (1*1)/(3*2)

P(A and B) = 1/6

Answer:

Obviously, the negative numbers come first so the answer is -3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3.

Answer:

-3.7, -1.9, -1/2, 1 and 1/3, 1.6, 2 and 1/3.

Answer: 1 1/32 or 33/32

Step-by-step explanation:

6 * 4 = 24

8 * 4 = 32

6/8 = 24/32

24/32 + 9/32 = 33/32

33/32 = 1 1/32

Answer:

1  1/32

Step-by-step explanation:

6/8 + 9/32

the common denominator is 32

6/8 *4/4 + 9/32

24/32 + 9/32

33/32

32/32 + 1 /32

1  1/32

Answer:

125,000

Step-by-step explanation:

Take the Japanese yen and divide by 12

1,500,000 divided by 12 = 125,000

Answer:

Complex

Step-by-step explanation:

104i + 27

This has a real component 27

and an imaginary component 104i

That makes this complex

Answer:

18

Step-by-step explaition:

130 divided by 2 is 65 235 divided by 5 is 47 65 - 47 is 18

Answer:

2 x + y - 3 = 0

2 g + 6 x - 14 = 0 2 g = -2 (3 x - 7)

x = 7/3 - g/3

Step-by-step explanation:

Solve for x:

2 g = 14 - 6 x

2 g = 14 - 6 x is equivalent to 14 - 6 x = 2 g:

14 - 6 x = 2 g

Subtract 14 from both sides:

-6 x = 2 g - 14

Divide both sides by -6:

Answer: |

| x = 7/3 - g/3

Answer:

y= -2 x + 3

y= 3 x + -7

The slops and they y-intercepts are different

Intersect at one point

Exactly one solution

Step-by-step explanation:

Edge 2022

Answer:

B

Step-by-step explanation:

Answer:

He needs to borrow $28,500 to attend the University for 4 years.

Step-by-step explanation:

One year at the University costs $24,000. The total she has to pay are 4 * $24,000 = $96,000

minus the $4,000 she has in savings: $96,000 - $4,000 = $92,000

minus the $1,500 she received one time: $92,000 - $1,500 = $90,500

minus $3,500 per anual

           4* $3,500 = $14,000            

           $90,500 - $14,000 = $76,500

minus $ 12,000 per anual

            4 * $12,000 = $48,000

            $76,500 - $48,00 = $28,500