what is the measure of ∠x

Answer:

x = -5.83, -0.17

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

Since we are given a = 1, b = 6, and c = 1 from our quadratic, we use the Quadratic Formula:

Step 1: Plug in variables

[tex]x=\frac{-6+/-\sqrt{6^2-4(1)(1)} }{2(1)}[/tex]

Step 2: Solve

[tex]x=\frac{-6+/-\sqrt{36-4} }{2}[/tex]

[tex]x=\frac{-6+/-\sqrt{32} }{2}[/tex]

Step 3: Evaluate to decimals

When you do so, you should get x = -5.82843 and -0.171573

━━━━━━━☆☆━━━━━━━

▹ Answer

x₁ = -5.83

x₂ = -0.17

▹ Step-by-Step Explanation

x² + 6x + 1 = 0

[tex]x=\frac{-6+/-\sqrt{6^2-4(1)(1)} }{2(1)}x=\frac{-6+/-\sqrt{36-4} }{2}x=\frac{-6+/-\sqrt{32} }{2}[/tex]

final answer =

x₁ = -5.83

x₂ = -0.17

Hope this helps!

Brainliest is greatly appreciated

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Answer:

Option A is the correct option.

Step-by-step explanation:

[tex] \frac{ {x}^{5} + 18 {x}^{2} - 27x }{x + 3} [/tex]

Factor out X from the expression

[tex] \frac{x( {x}^{4} + 18x - 27)}{x + 3} [/tex]

Add and subtract [tex]3 {x}^{3} [/tex]

[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} + 18x - 27)}{x + 3} [/tex]

Write 18x as a difference

[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27 }{x + 3} [/tex]

factor out [tex] {x}^{3} [/tex]from the expression

[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]

Factor out [tex] - 3 {x}^{2} [/tex] from the expression

[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2}(x + 3) + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]

factor out 9x from the expression

[tex] \frac{x( {x}^{3}(x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9x - 27 }{x + 3} [/tex]

Factor out -9 from the expression

[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9(x + 3)}{x + 3} [/tex]

factor out x+3 from the expression

[tex] \frac{x(x + 3)( {x}^{3} - 3 {x}^{2} + 9x - 9) }{x + 3} [/tex]

Reduce the fraction with X+3

[tex]x( {x}^{3} - 3 {x}^{2} + 9x - 9)[/tex]

Distribute X through the parentheses

[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]

hope this helps...

Good luck on your assignment...

Answer:

D=y=In x+5

Step-by-step explanation:

Answer:

The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle

Use rule ; SOHCAHTOA .Where sin x = opp/hyp

cos x = adj/hyp

tan x= opp/adj

Substitute the given values for the three sides

into any of the above rules

[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]

Step-by-step explanation:

I Hope It Helps :)

Answer:

V = 113 degrees

Step-by-step explanation:

a triangle is 180 degrees so subtract the two numbers from 180

Answer:

Hi there! the answer is: 0.857

Step-by-step explanation:

1/7 x 6 = 0.85714285714 but you can ALWAYS shorten that for your answer by doing 0.857!

Hope this helped! please mark me brainliest if possible

Answer:

Shorten form=0.857

Normal form=0.85714285714

Step-by-step explanation:

Answer:

25 pounds of mix A

10 pounds of mix B

Step-by-step explanation:

Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:

[tex]0.5A+0.25B=15[/tex]

Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:

[tex]0.5A+0.75B=20[/tex]

Solving the linear system:

[tex]0.5A+0.25B=15\\0.5A+0.75B=20\\0.5B=5\\B=10\ pounds\\0.5A=15-0.25*10\\A=25\ pounds[/tex]

In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B

Answer :

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of line

Answer:

The equation is y = 4x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x + b

Substitute the x and y value into the equation

7 = 4(1)+b

7 = 4+b

Subtract 4

7-4 =b

3=b

The equation is y = 4x+3

Answer:

Check Explanation

Step-by-step explanation:

The options for the question aren't available. But it is given that the micrometer screw gauge in question can measure up to a hundredth of a millimeter.

We now want to measure a ball with diameter that is roughly 1.5 cm.

1.5 cm = 15.00 mm

Since our micrometer screw gauge can measure up to a hundredth of a millimeter, the possible true diameter of the ball will range between 14.995 mm and 15.004 mm

The error in measurement can range from -0.004 mm to +0.005 mm.

The amount of error was picked based on the approximate measurements on the analogy micrometer screw gauge that the equipment will still classify as roughly 15 mm (1.5 cm)

Hope this Helps!!!

Answer:

1.715 cm ± 0.005 cm; The standard error was chosen as +(-) 1/2 the smallest unit that can be precisely measured on the device, or 0.01 cm.

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

m= minutes

Minutes*15= Whole water

m*15=w

7*15=105

Answer:

firsty,open the compass to the width of the original line to measure it. then use the straightedgeto find the length of the given line and then mark an arc above .in 3rd step use a straightedge to create two arcs above and below the original line lastly open the compass andmark two points of intersections between the arcs of given lines.

i think its all..

Answer:

Create a line that intersects the given line with your straightedge.

Step-by-step explanation:

Answer:

a is 2q^2r

b is 3s^2t

the expression factored is...

(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)

Step-by-step explanation:

Answer:

Option B is the correct answer

Step-by-step Explanation:

[tex] \sin 45 \degree = \frac{x}{2} \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{2} ..( \because \: \sin 45 \degree =\frac{1}{\sqrt 2}) \\ \\ \huge \purple{ \boxed{ x = \frac{ \sqrt{2} }{2}}} \\ \\ [/tex]

Using the trigonometric ratio sine, we find that x = [tex]\sqrt{2}[/tex], making option D to be correct.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). These trigonometric ratios deduce a relationship between angles of right angle triangle ( other than the right angle ) and the sides of the triangle : base, perpendicular, hypotenuse.

We have used trigonometric ratio sine here.

sin[tex]\theta[/tex] = [tex]\frac{perpendicular}{hypotenuse}[/tex]

In the given question,

from the point of view of angle 45° which is marked in the figure,

base = y

perpendicular  = x

hypotenuse = 2

Using, sin[tex]\theta[/tex] =  [tex]\frac{perpendicular}{hypotenuse}[/tex]

sin 45 = [tex]\frac{2}{x}[/tex]

[tex]\frac{1}{\sqrt{2} } = \frac{x}{2} \\\\x = \frac{2}{\sqrt{2} } = \sqrt{2}[/tex]

Learn more about trigonometric ratios here

https://brainly.com/question/23130410

#SPJ2

Answer:

1.3 million bicycles!

Step-by-step explanation:

Answer:

1.3 million bicycles

Step-by-step explanation:

got it right on edge 2020

Answer:

[tex]\frac{-3x^2-7x-4}{x^3-2x^2-9x+18}[/tex]

Step-by-step explanation:

[tex]\frac{2}{x^2-9}-\frac{3x}{x^2-5x+6}[/tex]

Factor x²-9 and x²-5x+6.

[tex]\frac{2}{\left(x+3\right)\left(x-3\right)}-\frac{3x}{\left(x-2\right)\left(x-3\right)}[/tex]

Least common multiple of (x+3), (x-3), (x-2), and (x-3) is (x+3), (x-3), and (x-2).

Adjust the fractions based on LCM.

[tex]\frac{2\left(x-2\right)}{\left(x+3\right)\left(x-3\right)\left(x-2\right)}-\frac{3x\left(x+3\right)}{\left(x-2\right)\left(x-3\right)\left(x+3\right)}[/tex]

Subtract the fractions since denominators are equal.

[tex]\frac{2\left(x-2\right)-3x\left(x+3\right)}{\left(x+3\right)\left(x-3\right)\left(x-2\right)}[/tex]

Expand.

[tex]\frac{-3x^2-7x-4}{x^3-2x^2-9x+18}[/tex]

The fraction can be in factored form.

[tex]\frac{-\left(x+1\right)\left(3x+4\right)}{\left(x-2\right)\left(x+3\right)\left(x-3\right)}[/tex]

Answer:

[tex]-\frac{(x+1)(3x+4)}{(x+3)(x-2)(x-3)}[/tex]

Step-by-step explanation:

STEP 1: Simplify each term.

[tex]\frac{2}{(x+3)(x-3)}-\frac{3x}{(x-3)(x-2)}[/tex]

[tex]\frac{2}{(x+3)(x-3)}*\frac{x-2}{x-2} -\frac{3x}{(x-3)(x-2)}[/tex]

[tex]\frac{2}{(x+3)(x-3)}*\frac{x-2}{x-2} -\frac{3x}{(x-3)(x-2)}*\frac{x+3}{x+3}[/tex]

STEP 2: Write each expression with a common denominator of (x+3)(x−3)(x−2), by multiplying each by an appropriate factor of 1.

[tex]\frac{2(x-2)-3x(x+3)}{(x+3)(x-2)(x-3)}[/tex]

STEP 3: Simplify the numerator.

[tex]\frac{(-x-1)(3x+4)}{(x+3)(x-2)(x-3)}[/tex]

STEP 4: Simplify with factoring out.

[tex]-\frac{(x+1)(3x+4)}{(x+3)(x-2)(x-3)}[/tex]

Answer:

  [tex]0.\overline{6}[/tex]

Step-by-step explanation:

It is a repeating decimal fraction:

  [tex]\dfrac{2}{3}=0.6666...=0.\overline{6}[/tex]

__

You can see this if you do the long division. Each step is the same as the one before.

Answer: C

Step-by-step explanation:

Perpendicular lines are irrelevant. A is to create a triangle and to show 2 angles in the triangles are congruent. B is to prove the 2 triangles are congruen. D is to prove that AC and BD are congruen. no where is perpendicular lines involved.

Answer: [-12, 3, 2, -2]

Step-by-step explanation:

Multiply each corresponding integer by each other.

4 * -3 = -12

3 * 1 = 3

-1 * -2 = 2

-1 * 2 = -2

Answer:

4.4

Step-by-step explanation:

To find the answer we would need to find by how much the amount reduced from Figure B to Figure A.

10/4=2.5.

Now we just need to divide 11 by 2.5 which equals 4.4.

So, if I'm correct, the answer should be 4.4.

Hope this helps! <3

Answer:

28.4 degrees

Step-by-step explanation:

In the diagram attached

Height of the cliff, AB=54 m

Distance of the raft to the base of the cliff, AC=100m

We want to determine the angle of depression from the top of the cliff to the raft. This is angle OBA.

[tex]\angle OBA = \angle BAC $ (Alternate Angles)\\Therefore, in the right triangle ABC\\\tan A =\dfrac{BC}{AC}\\ \tan A =\dfrac{54}{100}\\\tan A =0.54\\A=\arctan 0.54\\A=28.4^\circ$ (to the nearest tenth)[/tex]

The angle of depression from the top of the cliff to the raft is 28.4 degrees correct to the nearest tenth.

Answer:

solution,

Let the points be A and B

A(-4,-8)--->(X1,y1)

B(-4,12)---->(x2,y2)

Now,

[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: = \sqrt{ {( - 4 - ( - 4)}^{2} + 12 - ( - 8) ^{2} } \\ \: \: \: \: = \sqrt{ {( - 4 + 4)}^{2} + {(12 + 8)}^{2} } \\ = \: \: \: \: \sqrt{ {(0)}^{2} + {(20)}^{2} } \\ \: \: \: \: = \sqrt{0 + 400} \\ \: \: \: = \sqrt{400} \\ \: \: = \sqrt{ {(20)}^{2} } \\ \: \: = 20 \: units[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

Coordinates of point P is [tex](-14,3)[/tex].

Step-by-step explanation:

Given that mid point of line segment [tex]\overline {PQ}[/tex] is at M(-9, 8.5).

Q is at (-4, 14).

Let coordinate of P be [tex](x,y)[/tex].

Using the ratio, we can say the following:

The coordinates of mid point [tex](X,Y)[/tex] of a line with endpoints [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:

[tex]X=\dfrac{(x_1+ x_2)}{2}[/tex]

[tex]Y=\dfrac{(y_1+ y_2)}{2}[/tex]

Using the formula for above given dimensions:

[tex]-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14[/tex]

[tex]8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3[/tex]

So, the coordinates of point P are [tex](-14,3)[/tex].

Answer:

Negative 4 squared

Step-by-step explanation:

BIDMAS, says do brackets first, and if that’s no there indices. Here the indices are mentioned in the first 2 bracetus to, in which case you have to bother about order. What is put first must be solved first.

Hope this helps

Answer:

Solving the parenthesis should be done first to evaluate.

Step-by-step explanation:

Apply PEMDAS

P ⇒ Parenthesis

E ⇒ Exponents

M ⇒ Multiplication

D ⇒ Division

A ⇒ Addition

S ⇒ Subtraction

(-4)² + 6 ÷ (- 3 + 4) (2) - 5

The first step would be to solve for the parenthesis.

(-4)² + 6 ÷ (1) (2) - 5

The second step would be to solve for the exponents.

16 + 6 ÷ (1) (2) - 5

The third step would be to divide.

16 + 6/1 (2) - 5

16 + 6(2) - 5

The fourth step would be to multiply.

16 + 12 - 5

The fifth step would be to add.

28 - 5

The sixth step would be to subtract.

= 23

Answer:

13%

Step-by-step explanation:

[tex]percentage \: increase = \frac{565 - 500}{500} \times 100 \\ \\ = \frac{65}{500} \times 100 \\ \\ = \frac{65}{5} \\ = 13 \% [/tex]

Step-by-step explanation:

I think 6 ways is the correct answer

Answer:

72

Step-by-step explanation:

For now, let's just distinguish between boys and girls.

Boy = X

Girl = x

There are 6 ways of placing the boys and girls so that the girls are not next to each other.

XXxXx

XxXXx

xXXXx

XxXxX

xXXxX

xXxXX

Now let's look at one of those patterns while distinguishing between the  individual boys and girls by having a different symbol for each.

Boys: A, B, C

Girls: a, b

Let's use just the first pattern above, XXxXx.

ABaCb

ACaBb

BAaCb

BCaAb

CAaBb

CBaAb

ABbCa

ACbBa

BAbCa

BCbAa

CAbBa

CBbAa

For the first pattern of the 6 different patterns on top, there are 12 ways of placing the boys ad girls. Since there are 6 of the patterns on top, the total number of ways is

6 * 12 = 72

Answer: 72

Hey there! :)

Answer:

y = -2x² - 12x - 19

Convert to vertex form by completing the square:

19 = -2x² - 12x

19 -18 = -2(x² + 6x + 9)

1 = -2(x + 3)²

y = -2(x + 3)² -1 Use this form to find the vertex and points:

Points:

X                     Y

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

-6                    -19

-5                    -9

-4                    -3

-3                    -1

-2                    -3

-1                     -9

0                     -19

**Graph is below**