The height of a triangle is 5 more than twice the base. If the area of the triangle is 21, then find the base of the triangle.

Answers

Answer 1
21=(1/2)(2b+5)b
42=b(2b+5)
2b^2+5b-42=0
(2b-7)(b+6)=0
b=7/2 b=-6
take the positive value
b=7/2


Related Questions

i need help ASAP pls make sure to show your work.

Answers

Answer:

Step-by-step explanation:

2) 6.230 (3.115

  6  

   0 2

    - 2

      0 3

       - 2

         1 0

        -1 0

          0

125) 6000 (4.8          ( on multiplying numerator and denominator by 100)

      -500

       1000

     -1000

       0

   

 

4 ( -x + 4 ) = 12
what is the value of x

Answers

Answer:

X=1

Step-by-step explanation:

Answer:

X = 1

Step-by-step explanation:

Nik scored 48 points in six games. How much did he score per game?
I

Answers

Answer:

8

Step-by-step explanation:

48/6 =8

Name each polynomial by degree and number of terms. 1) 9x + 5​

Answers

Answer:

1st degree binomial

Step-by-step explanation:

Answer:

1rst degree

binomial

Step-by-step explanation:

given the equation f(x)= -10x-4 and g(x)=6-2x, find f(x) - g(x)​

Answers

Answer:

Step-by-step explanation:

[tex]f(x) = - 10x - 4[/tex]

[tex]g(x) = 6 - 2x[/tex]

_________________________________

[tex]f(x) - g(x) = [/tex]

[tex]( - 10x - 4) - (6 - 2x) = [/tex]

[tex] - 10x - 4 - 6 + 2x = [/tex]

[tex] - 8x - 10[/tex]

Thus ;

[tex]f(x) - g(x) = - 8x - 10[/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

What is 7/8 x 4/5 divided by 7/20

Answers

Answer: 2

Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.

4/10 would be your answer to your question

This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?

Answers

Answer:

12 days

Step-by-step explanation:

Given:

s = d

Where,

d = number of days he spends on vacation

s = total number of souvenirs he buys

How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?

s = 12

Since,

s = d

Then,

12 = d

Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs

24 divided by 7872

PLEASE HELP

Answers

Answer:

328 IF its 7,872 divided 24. If it 7,872 divided by 24 then it's 0.00304878049

Step-by-step explanation: Please mark as brainlest i really need to keep me motivated.

Find the value of x. PLEASE HELP - test tomorrow
The answer is 74.
I need to show my work.

THANK YOU!!!!!

Answers

Answer:

x = 74

Step-by-step explanation:

If you add all the angles in the diagram, you will get 360 degrees (since it's a complete revolution, and one revolution = 360 degrees).

Form an equation in x with this information:

4x+1+x-35+24 = 360

5x -10 = 360

5x = 370

x = 74

Answer: x=74 Explanation I just did it

Round 11,900 to the nearest thousand.

Answers

12,000, because 11,900>11,500, so you round it up to 12,000

Answer:

12,000

Step-by-step explanation:

the answer is 12,000 bc if its over 11,500 you round up and if its 11,400 then you round it to 11,000.

simplify 6(–2y) – 9 + 4(–2y + 6)

Answers

Answer:

-20y+15

Step-by-step explanation:

The simplified version of this would be 20y + 15.

19
Tell whether the triangles are similar. Explain.
Please help!!!!!!!

Answers

Answer:

Step-by-step explanation:

Help this person she really needs help! XD

Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.

Is the answer y=2x+3 ??

Answers

Answer:

y = -1/2x + 9

Step-by-step explanation:

y - 7 = -1/2(x - 4)

y - 7 = -1/2x + 2

y = -1/2x + 2 + 7

y = -1/2x + 9


Which of the statements below is true for the following set of numbers?
20, 5, 50, 95, 75, 60
O The range and the midrange are equal.
O The range is 90 and the midrange is 45.
O The range is 95 and the midrange is 55.
O The range is 90 and the midrange is

Answers

Midrange: 50
The minimum value of a data set (Min. Value): 5
The maximum value of a data set (Max. Value): 95
Midrange = (Min. Value + Max. Value) / 2 = (5 + 95) / 2 = 50
The last choice in your question is incomplete. If the midrange is 50. Then will be answer D
Now, if the missing part on choice D is not 50 the closest answer then will be C
Good luck!
Remember first look the question again and see if the last choice is missing a number there, it might be 50. If the missing number is 50 then the correct answer it will be D.
However, if the missing number is not 50 the closest answer it will be C.

Answer:

D

Step-by-step explanation:

The amount of money that is left in a medical savings account is expressed by the equation y = negative 24 x + 379, where x represents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it?

Answers

[tex]67 = -24x + 379\\[/tex]

Subtract 379 from both sides.

that gives us: [tex]-312 = -24x[/tex]

divide both sides by -24 which equals: x = 13.

13 weeks

Answer:

13 weeks

Step-by-step explanation:

e d g e n u i t y 2020

If the m∠1 =57°, Find the measure of ∠6

A- 123 °
B- 57 °
C- 180 °
D- Cannot be determined

Answers

Answer:

123

Step-by-step explanation:

[tex]180 - 57 = 123[/tex]

The solution is, the value of m∠6 is 123, i.e. A- 123 °.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

from the given figure we get,

angle 1 is equal to angle 5

as they are corresponding angles,

so, m∠1 =57° = m∠5

now, we have,

that the sum of 5 & 6 is 180

so, they are supplementary angles.

i.e. m∠6 = 180 - m∠5

             =180 - 57

             =123

Hence, The solution is, the value of m∠6 is 123, i.e. A- 123 °.

To learn more on angle click:

brainly.com/question/28451077

#SPJ3

Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),

Answers

you would need to put 4 in for (n)so, 5(4)+8 then solve. 5 times 4=20 plus 8 is 28. I hope I could help!

The value of the function f(n)=5n+8 for f(4) will be 28.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-

f(n)=5n+8

f(4) = ( 5 x 4 + 8 )

f(4) = 20 + 8

f(4) = 28

Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.

To know more about functions follow

https://brainly.com/question/17043948

#SPJ2

Help me doing this plzzz​

Answers

Answer:

4x³+8x²-x-2=4x².(x+2)-(x+2)=(4x²-1).(x+2)=(2x-1).(2x+1).(x+2)

log 2 x=a then what is logx 36​

Answers

Answer:

A is the answer

Step-by-step explanation:

please vote me

A ball is thrown vertically upward from the top of a building 224 feet tall with an initial velocity of 80 feet per second. The distance ​s ​ (in feet) of the ball from the ground after ​t ​seconds is 224 0t 6ts = +8 −1 2a) After how many seconds does the ball pass the top of the building? b) After how many seconds does the ball strike the ground?

Answers

Answer:

i dont really know

Step-by-step explanation:

You can search t up on googl nd get the answer most lieyly

PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?

Answers

Answer: A rotation of 180° around the origin.

Step-by-step explanation:

When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.

This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.

Now, let's analyze our case:

First a reflection over x-axis, and then a reflection over the y-axis.

This means that if our point starts in quadrant 1 then:

-The reflection over the x-axis will leave our point in quadrant 4.

-The reflection over the y-axis will leave our point in quadrant 3.

Now, if our point stated on quadrant 2.

-The reflection over the x-axis will leave our point in quadrant 3.

-The reflection over the y-axis will leave our point in quadrant 4.

So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.

This means that:

The distance between our point and the x-axis does not change.

The distance between our point and the y-axis does not change.

But if the distances to both axes do not change, then the distance between our point and the origin also does not change.

This means that we can find a rotation that is equivalent to this transformation.

So we must look at a rotation that moves our point 2 quadrants.

a rotation that moves our point 2 quadrants will be:

A rotation of 180° around the origin.

I really need help asappp

Answers

Answer:

d

Step-by-step explanation:

Answer:I say D the other wont work so D

Step-by-step explanation:

what is the value of 2x + 2(xy-z) where x=3, y=4 and z=-1

Answers

Answer:

32

Step-by-step explanation:

2(3)+2((3×4)-(-1))

=6+2(12+1)

=6+26

=32

Alonso plans to buy a new kayak that costs $2,100. But he needs to pay a 8.5% tax. What is the total cost of the kayak?

Answers

Answer:

$ 2,273.25

Step-by-step explanation:

Alexa is using 6 pounds of apples to make pies.
How many ounces of apples is Alexa using for the pies?

Answers

Answer:

96 oz

Step-by-step explanation:

There are 16 oz in a pound, so you do 16 * 6 = 96

the product of two odd numbers

Answers

Answer:

Odd

Step-by-step explanation:

2 odd numbers will always create another odd number.

The equation s =square root 30fd can be used to find the car's speed s in mph given the length d in feet of a skid mark and the friction factor f of the road. Police measured a skid mark of 90 feet on a dry concrete road. If the speed limit is 35mph, was the car speeding? Explain

Answers

Answer:

Yes, the car was speeding the speed limit.

Step-by-step explanation:

The given equation to find the car's speed, s (in mph), is

[tex]s=\sqrt{30fd}[/tex]

where, d is the length of the skid and f is the friction factor.

Police measured a skid mark of 90 feet, so d=90

As the road is dry and of concrete, therefore the friction factor, f=0.8.

So, the speed of the car

[tex]s=\sqrt{30\times0.8\times90} = 46.48[/tex] mph

The speed of the car is 46.48 mph which is more than the speed limit of 35 mph.

Hence, the car was speeding the speed limit.

Simplify this expression. 17 - 12x - 18 - 5x = ??​

Answers

17 -12x - 18 - 5x=
-1 - 17x =
-1 = 17x

How do I solve for pie?​

Answers

Pi is a unlimited number but when used in most math equations they just mean it simplified which is 3.14.

hey ITSBLESIVGURL ill text you after school also what is 22+77?

Answers

Answer:

99

Step-by-step explanation:

cause im smart teehee

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