Use the quadratic formula to solve the equation​.

8x2−17x+7=0
Enter your answers, in simplified radical form, in the boxes.

x =
or x =

Answers

Answer 1

Answer:

just took the test

Use The Quadratic Formula To Solve The Equation.8x217x+7=0Enter Your Answers, In Simplified Radical Form,
Answer 2

1st root= x1 =(17+√65)/16

2nd root =x2 =(17-√65)/16

What is Quadratic Equation?

A quadratic equation is any equation that can be  rearranged in standard form as where x represents an unknown and a, b , and c represent known numbers , where a should not be equal to 0.

D = b^2 - 4 * a *c

D = (-17)^2 - (4)(8)(7)

D= 65 >0

There will be two solutions exist in this condition

1st root :    (-b+√D)/2a

=(-(-17)+√65)/2*8)

1st root=  x1 = (17+√65)/16

2nd root :   (-b-√D)/2a

= (-(-17)-√65)/2*8)

2nd root = x2 = (17-√65)/16

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Related Questions

There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is 3 8 . There are 21 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be.

Answers

Answer:

Number of milk chocolate in beg = 56

Step-by-step explanation:

Given:

Probability of randomly choosing a dark chocolate = 3/8

Number of dark chocolate = 21

Find:

Number of milk chocolate in beg

Computation:

Number of milk chocolate in beg = Number of dark chocolate / Probability of randomly choosing a dark chocolate

Number of milk chocolate in beg = 21 / [3/8]

Number of milk chocolate in beg = 21[8/3]

Number of milk chocolate in beg = 7[8]

Number of milk chocolate in beg = 56

Two villages are 14km apart in real life. How far apart would they be on A map scale with 1:25000

Answers

Given:

Distance between two villages = 14 km

Map scale = 1:25000

To find:

The distance between the two villages on the map.

Solution:

Let the distance between the two villages on the map be x.

Map scale is 1:25000. So,

[tex]\dfrac{x}{14}=\dfrac{1}{25000}[/tex]

[tex]x=\dfrac{1}{25000}\times 14[/tex]

[tex]x=0.00056[/tex]

Therefore, the two villages are 0.00056 km apart on map.

What is the distance between (4,6) and (9,15)?

Answers

Answer:

10.2956

Step-by-step explanation:

The distance  between (4,6) and (9,15) is √87.

What is distance formula?

The distance between the points P ([tex]x_1, y_1[/tex])and Q ([tex]x_2, y_2[/tex]) is

PQ = √[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])² , which is called the distance formula.

Given coordinates: (4,6) and (9,15)

Using distance formula:

=√[tex](x_2 - x_1[/tex]) ² + ([tex]y_2 - y_1[/tex])²

= √[tex](9 -5[/tex]) ² + ([tex]15 -6[/tex])²

=√[tex](4[/tex]) ² + (9)²

= √16 + 81

=√87.

Hence, the distance between  (4,6) and (9,15) is √87 units.

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Please help me. Study island is hard

Answers

Answer: 5/12

Step-by-step explanation:

13-7 = 5

16-4 = 12

A the answer is A have a nice day

Pls urgent Will mark brainiest














Whats 2+2

Answers

Answer:

4 haha lol lol

Step-by-step explanation:

2+2 is 4 lol

math subject

true or false about geometry and measurement Garde 6

true or false

two rays with the same end point from an angel

I will give u branilist​

Answers

Answer:

True

Step-by-step explanation:

An angle is formed by two rays with a common endpoint. Each ray is called an arm of the angle. The common endpoint is called the vertex of the angle.

Answer:

false

Step-by-step explanation:

two rays with don't have the same end point from an angle

x2 + y2 = 9
x + y = 2

Answers

Answer:

I think its 4,5. Not entirely sure but it makes sense

HELP RIGHT NOW AND ILL GIVE BRAINLY IF CORRECT

Answers

Answer:

-9

Step-by-step explanation:

[tex]3^{-36}[/tex]= [tex]27^{-12}[/tex]

The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?

Answers

Answer:

1140 square inches

Step-by-step explanation:

The rear window of DeMarcus's car is in the shape of a trapezoid. The bottom is 50 inches across and the top is 45 inches across. The window has a height of 24 inches. What is the area of the window?

Area of a Trapezoid

= 1/2(b1 + b2)h

b1 =

b2 =

h =

Hence, 1/2 (50 + 45) × 24

= 1/2 × 95 × 24

= 1140 Square inches

The y-values that a function approaches when the x-values are extremely large or extremely small. This is called the function's ​

Answers

Answer:

end behavior

Step-by-step explanation:

A storage tank has a radius of x + 5 metres and a height of x metres. Determine the dimensions of the tank if the volume is 192π m 3 . Round your answers to two decimal places.

Answers

Answer:

that is the procedure above

PLEASE HELP ME WITH 27,28 and 29

Answers

27. 8
28. 15
29. 4
Step by step below

Which correctly uses bar notation to represent the repeating decimal for
fi
O 0.54
O 05454
O 054
O 0.545

Answers

0.45 I took the test

a 25% tip was payed on a 30$ meal what is the amount of the tip

Answers

Answer:

$7.50

Step-by-step explanation:

30 x 0.25= 7.50

the tip is 7.50 because 20% of 30 is 7.50

can someone help me with this math problem​

Answers

Answer:

150 degrees

Step-by-step explanation:

8x-10=3x+90

solve for x in calculater

x = 20

Substitute:

3(20)+90 = 150

Answer:

Step-by-step explanation:

8x - 10 = 3x + 90

5x - 10 = 90

5x = 100

x = 20

8(20) - 10 = 160 - 10 = 150

What is the product?

Answers

Answer:

-10d⁴ + 17d²s - 6s²

Step-by-step explanation:

Multiply using FOIL

First

-2d² * 5d² = -10d⁴

Outer

-2d² * -6s = 12d²s

Inner

s * 5d² = 5d²s

Last

s * -6s = -6s²

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

Together

-10d⁴ + 12d²s + 5d²s - 6s²

Combine like terms

-10d⁴ + 17d²s - 6s²

A square picture is 8 inches on each side. It is scaled by 74%. What are the dimensions of the new picture

Answers

9514 1404 393

Answer:

  5.92 inches on a side

Step-by-step explanation:

The new dimension is the original dimension multiplied by the scale factor.

  (8 in)(74%) = 5.92 in

Write an equation of the line that goes through the points (-2,-2) and (-4,-4).
PLEASE ANSWER

Answers

y=x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

Y=x

Step-by-step explanation:

it's a straight line passing by the center (0,0) at 45°

You can tell because Y is equal to X for every value of X and the points you posted fall in this case.

Mike wants to work out the height of a tree which has a fence around it. From A he sees that the angle of elevation of the top is 19° From B, 18m closer, the angle of elevation is 32° Workout the height of the tree

Answers

Answer: 13.8 m

Step-by-step explanation:

Given

From point A, angle of elevation is [tex]19^{\circ}[/tex]

From point B which is 18 m closer, it changes to [tex]32^{\circ}[/tex]

Suppose the height of tree is h

From figure, we can write

[tex]\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}[/tex]

Similarly

[tex]\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m[/tex]

Deduce the value of h

[tex]\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m[/tex]

Thus, the height of the tree is 13.8 m

From the graph of the function, determine the domain and the range.
A. Domain: (–4, –2] Range: (–3, 0)
B. Domain: (–4, 4) Range: [–3, 0]
C. Domain: [–4, –2] Range: [–1, 0)
D. Domain: (–4, 3] Range: (1, 0)

Answers

Answer:

Domain(-4,4) and Range:(-3,0)

Step-by-step explanation:

Because the graph goes through - 4 and 4

Combine the radicals 9 x-3 x
6
6 x
-6 2x
-6

Answers

Answer:

6x

Step-by-step explanation:

9x - 3x

[When like terms are combined then as per statement they get subtracted]

= 6x (Ans)

the answer is 6x.

hope this helps!

Is 24 a possible output value? Why or why not? Describe the dominan of this function. Describe the range of this function

Answers

Answer:

No solution is possible

Step-by-step explanation:

You failed to provide the function.

This question cannot be answered,

No, 24 is not a possible output value.

The domains are -2, 0, 3, and 11.

The range is -1, 4, 14, and 38.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The function is given in the figure.

The outputs are -1, 5, 14, and 38.

The domain of the function is -2, 0, 3, and 11.

The range of the function is -1, 5, 14, and 38.

Thus,

24 is not a possible output value.

Domains are -2, 0, 3, and 11.

Range are -1, 4, 14, and 38.

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How do you do this ?

Answers

Answer:

the answer is- g= 72/d minus f/d

Answer: g=72/d - f/d

Answer: The domain for f(x) is all real numbers GREATER than equal to 3

Answers

Answer:A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

1075.21009

Step-by-step explanation:

The graph represents this relation (blank) the function that coincides with this relation is... select the correct answer from each drop down menu

Answers

Answer:

x = 5*|y|

Step-by-step explanation:

We know that the function is something of the form:

x = |a*y|

We know this because the vertex of the function is in the point where the value of the absolute part is zero, this is when y = 0

and:

x = |a*0| = 0

(0, 0)

Now let's look another point where the graph passes through to find the value of a.

We can see that the graph also passes through the point (5, 1) and (5, -1)

Then, when y = 1, we must have x = 5

Replacing these in our equation we get:

x = |a*y|

5 = |a*1|

5 = |a|

then we can have

Then we can rewrite:

x = |a*y| = |a|*|y| = 5*|y|

x = 5*|y|

The correct option is the last option.

Which of the following is true of the constructions of an equilateral triangle, a square, and a regular hexagon when they are inscribed in circles?

The diameter in the first step of the constructions divides each shape in half.
Three diameters are needed to construct each inscribed polygon.
The arc in step two of each construction divides the circle in half.
The line segments that form each shape are congruent to the diameter of the circle.

Answers

Answer:

the third option

Step-by-step explanation:

what is the volume of a cylinder in cubic in with a height of 11in and a base diameter of 6in

Answers

Answer:

311.01 in^3

Step-by-step explanation:

Volume of cylinder = pi*r^2*h

Volume of cylinder = pi*9*11=311.01 in^3

m (slope) =
b ( y - intercept) =
x - intercept =​

Answers

Answer:

Step-by-step explanation:

m = - 2

b = 4

x - intercept = 2

PLEASE HELP ANGLE OF TRIANGLE

Answers

Answer:

my last answer was why the sum of two known angles is equal to the exterior angle so now you can use the easier way:

add the two known angles.

41+107 = 148

that means the exterior angle is equal to 148

x=148

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

The first thing that you want to do is find the missing angle on the inside of the triangle as that angle is supplementary (an angle that when put together it adds up to 180°). So,

In accordance to the triangle sum theorem all of the angles inside the triangle must add up to 180°. For this equation will call the missing interior angle n.

41+107+n=180

148+n=180

n=32

So with this we know that the interior angle is 32°, now all we have to do is subtract 180 by 32 as the X and angle n are supplementary angles

180-32 = 148°

And that is you’re answer!

Write the Slope Intercept Form equation of the line that passes through the points (−24,8) and (−12,28).

Answers

Answer:

y = 5/3x + 48

Step-by-step explanation:

y2 - y1 / x2 - x1

28 - 8 / -12 - (-24)

20 / 12

5/3

y = 5/3x + b

8 = 5/3(-24) + b

8 = -40 + b

48 = b

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