find a quadratic polynomial each with the given number as the sum and product of its zeros respectively
1/4 and 1​

Answer:

addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.  

I hope you find this helpful :D

Answer:

(7+3)

After that you do (6+8)

Explanation:

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

r = 18 cm

Step-by-step explanation:

The formula for the circumference of a circle is 2πr.

Hence,

2πr = 36π

r = 18 cm

Answer:

B

Step-by-step explanation:

A. 8 * x = 80

8 * 5 = 40. 40 is not 80, so it doesn't work.

B. x + 4 = 9

5 + 4 = 9. This works.

C. 10 ÷ x = 5

10 ÷ 5 = 2. 5 is not 2, so it doesn't work.

D. x - 6 = 1

5 - 6 = -1. 1 is not -1, so it doesn't work.

Answer:

Length = 8+7 = 15

Width = 8

Step-by-step explanation

                      Length = x+7 , x+4

Width = x ,x+2

(x+7) x = (x+4)( x+2)

expand and simplify x =8

Answer:

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, add by 9 from both sides.

x-9+9=-21+9

Solve.

-21+9=-12

X=-12

Switch sides.

x+10=112

Subtract by 10 from both sides.

x+10-10=112-10

Solve.

112-10=102

X=102

Switch sides.

x-30=14

Add by 30 from both sides.

x-30+30=14+30

Solve.

x=44

Switch sides.

x-12=3

Add by 12 from both sides.

x-12+12=3+12

Solve.

Add the numbers from left to right.

3+12=15

x=15

I hope this helps you! Let me know if my answer is wrong or not.

Answer: x= -2

Step-by-step explanation:

The ladder and the outside wall form a right triangle

The distance from the base of the ladder is 7.89 feet

The given parameters are:

Length (L) = 18 feet

Angle of elevation (θ) = 64 degrees

The distance (D) from the base of the ladder is calculated using the following cosine ratio

cos(θ) = D/L

So, we have:

cos(64) = D/18

Make L the subject

D = 18 * cos(64)

Evaluate the product

D = 7.89

Hence, the distance from the base of the ladder is 7.89 feet

Read more about right triangles at:

https://brainly.com/question/2437195

Answer:

Infinitely many solutions

Step-by-step explanation:

To solve for x, start by expanding the left-hand side of the equation.

2(x +5)= 2x +10

2(x) +2(5)= 2x +10

2x +10= 2x +10

Subtracting 10 from both sides:

2x= 2x

Divide both sides by 2:

x= x

Thus, x has infinitely many solutions.

Answer:

[tex]95\frac{5}6{[/tex] miles

Step-by-step explanation:

First, find base. 1 inch = [tex]\frac{25}{3}[/tex] miles.

multiply the map distance by base.

[tex]11.5\cdot\frac{25}{3} = 95.8\overline{3}=95\frac{5}{6}[/tex] miles

Multiply liters per minute by number of minutes and add that to the starting amount.

W = 34t + 400

now replace t with 16 and solve:

W = 34(16) = 400

W = 544 + 400

W = 944

After 16 minutes there are 944 liters in the pond

Answer:

19.6

Step-by-step explanation:

According to the

Cosine Theorem

e² = d² + f² - 2dfcos /_E

°Cos 13° = 0.974

e² = (7.1) 2 + (26.5) 2-2 × 26 = 5 × 7.1 × 0.974

=752.66 - 366.516

= 386.14

e = 386.14 = 19.6

Answer:

Step-by-step explanation: Maybe you could try:

A movie is 9.75 seconds long and each 2.5 seconds there is an ad so how many ads are there during the movie?

Answer:

x = [tex]\sqrt{165}[/tex]

Step-by-step explanation:

Pythagorean Theorm: a^2 + b^2 = c^2

a^2 + b^2 = c^2

14^2 + x^2 = 19^2

196 + x^2 = 361

x^2 = 165

x = [tex]\sqrt{165}[/tex]

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} [/tex]

Notice that

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

So

Considering the definition of axis of symmetry and vertex of a quadratic function, the correct answer is the first option: the coordinates of the vertex of the graph is (-5,41).

Quadratic function

The general form of a quadratic function is f(x  = ax²+ bx+ c, whose graph is a parabola.

Axis of symmetry and vertex of a quadratic function

Quadratic functions have a maximum (if a<0) or a minimum (if a>0). This point is the vertex of the parabola.

That is, the vertex of a quadratic equation or parabola is the highest or lowest point on the graph corresponding to that function. The vertex is in the plane of symmetry of the parabola; anything that happens to the left of this point will be an exact reflection of what happens to the right.

In other words, the vertex divides the graph into two halves that are mirror images of each other, so that the axis of symmetry always passes through the vertex.

Vertex of f(x) = −x² − 10x + 16

In this case, you know that the axis of symmetry for the function is x = −5.

So the vertex on the x-axis has a value of -5. To calculate the value of the vertex on the y-axis, you must substitute the value of the vertex on the x-axis in the function:

f(-5) = −(-5)² − 10×(-5) + 16

Solving:

f(-5)= 41

In summary, the correct answer is the first option: the coordinates of the vertex of the graph is (-5,41).

Learn more about the vertex of a quadratic function:

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Answer:

a

Step-by-step explanation:

a

Answer:

x = 73° , x = 7

Step-by-step explanation:

(1)

the measure of an inscribed angle is half the measure of its intercepted arc.

∠ B = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 128° = 64°

the sum of the 3 angles in Δ ABC = 180°

then

x = 180° - (64 + 43)° = 180° - 107° = 73°

(2)

2 chords iintersecting in a circle, then

the products of the parts of one chord is equal to the product of the parts of the other chord, that is

KH × HI = JH × HG ( substitute values )

10x = 14 × 5 = 70 ( divide both sides by 10 )

x = 7

Answer:

b = 5√3

Step-by-step explanation:

I would honestly just use pythag, but I'll use trig:

tanθ = opposite/adjacent

tan(30°) = 5/b

btan(30°) = 5

b = 5/tan(30°)

b = 5/(√3/3) = 15/√3

b = 15/√3 · (√3/√3) = 15√3/3

b = 5/√3

Check with pythag:

a² + b² = c²

5² + 5√3² = 10²

25 + 25(3) = 100

25 + 75 = 100  ✅

I hope this helps!

Answer:

I cannot change what is the truth

Step-by-step explanation:

attempt to change the truth would resulted in dinaur catastrophe

Answer:

30

Step-by-step explanation:

You can use the triangle area theorem-

15x4(/2)=30

Answer:

Alright, so, the ratio is 2:5

In total, there are 7

So, 56/7=8

8x2=16

8x5=40

So after moving 2 students,

14 on the van, 42 on the bus

(you can use the true/false now)

Answer:

1. False

2. True

3. True

4. False

Step-by-step explanation:

Going to the museum:

Total: 56 students

van:bus = 2:5

2x + 5x = 56

7x = 56

x = 8

2x = 16

5x = 40

16 students go by van

40 students go by bus

40 - 16 = 24

Going back to school:

14 students go by van

42 students go by bus

van:bus = 14/42 = 1:3

42 - 14 = 28

Questions:

1. False

2. True

3. True

4. False

Answer:

<(6/√85),(7/√85>

Step-by-step explanation:

Let vector o = 6i + 7j,

The magnitude, | o | = √(6²+7²) = √85

Unit vector, ô = (6i + 7j)/√85

= (6/√85)i + (7/√85)j

In component form, ô = <(6/√85),(7/√85>

Answer:

7

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtractioin

Evaluate: 2² * 3 - 5

2² * 3 - 5 <== exponents first

4 * 3 - 5 <== multiplicaiton second

12 - 5 <== subtraction last

7 <== final answer

Hope this helps!

7

Hope it helps.

Do comment if you have any query.

133, 117, 152, 127, 168, 146, 174.

range.

first arrange the numbers in order, which gives you:

= 117, 127, 133, 146, 152, 168, 174

then subtract the lowest number from the highest, which gives you:

174 - 117

= 57

range= 57.

[tex] |2x - 1| = | - x - 2| [/tex]

Thus ;

[tex]2x - 1 = - x - 2[/tex]

Add both sides x

[tex]2x + x - 1 = - x + x - 2[/tex]

[tex]3x - 1 = - 2[/tex]

Add both sides 1

[tex]3x - 1 + 1 = - 2 + 1[/tex]

[tex]3x = - 1[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{ - 1}{3} \\ [/tex]

[tex]x = - \frac{1}{3} \\ [/tex]

[tex]2x - 1 = - ( - x - 2)[/tex]

[tex]2x - 1 = x + 2[/tex]

Subtract both sides x

[tex]2x - x - 1 = x - x + 2[/tex]

[tex]x - 1 = 2[/tex]

Add both sides 1

[tex]x - 1 + 1 = 2 + 1[/tex]

[tex]x = 3[/tex]

There u go ...

In order to solve this equation, we need to take the square root of both sides (in order to get rid of the square and isolate x, because we are asked to determine the value(s) of x)

x²=36

√x²=√36

x=6

Is this the only solution?

A negative times a negative is a positive...

-6 is another solution of this equation! :)

Hence, the answers are:-

[tex]\boxed{\boxed{\bold{x=6; ~x=-6}}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Hello! My name's Cupcake, And I will be helping you today! :D

In order to solve this equation, we need to take the square root of both sides.

Why? Because we need to isolate x. Our goal is:- To find the value of x.

So in order to get rid of the square and find the value of x, we take the square root of both sides:-

x^2=36

x=6, x=-6 (solutions)

Hope it helps!

Any queries - comment !