What is the height of the triangle?
17 units
34 units
51 units
68 units

Answer:

  x² +3x -50 = 0

Step-by-step explanation:

The area expression you got in part (a) is ...

  A = (x +8)(x -5) = x² +3x -40

If the area is to be 10, then x must satisfy the equation ...

  10 = x² +3x -40

  x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form

Answer:

It is a fraction -5/9

Step-by-step explanation:

Step-by-step explanation:

remember the priorities of the different mathematical operations

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

so,

14 + 14/7 = 14 + 2 = 16

Hey there!

14 + 14 ÷ 7

14 ÷ 7 = 2

= 14 + 2

= 16

Therefore, your answer is: 16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Option B

176

Step-by-step explanation:

take 11 to the next side of the equation making the division multiplication getting us 16×11=176

Answer:

are those 4 all answers or are they separate?

Step-by-step explanation:

Given that

Money of a man = Rs. X

Money given to his wife = half of the money

= Rs. X/2

Money given to his son = 1/4th of the money

⇛Rs. X/4

Money given to his daughter = Rs. 1200

Total money

⇛ (X/2)+(X/4)+1200 = X

⇛ (2X+X+4800/4 = X

⇛ (3X+4800)/4 = X

⇛ (3X+4800) = 4X

⇛4X=3X+4800

⇛4X-3X = 4800

⇛X = 4800

⇛X-4800 = 0 is the required equation

⇛X = 4800

The money of the man = Rs. 4800 Ans.

also read similar questions: what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?

https://brainly.com/question/23613815?referrer

Answer:

  7

Step-by-step explanation:

There is a point of inflection at each point where the graph crosses the line y=2. There are 7 points of inflection shown.

__

A point of inflection is where the graph changes from being concave downward to concave upward, or vice versa. For a sine function, that is everywhere the function crosses its midline.

Answer:

7 inflection points

Step-by-step explanation:

The given function [tex]f(x)=sinx+2[/tex] has a midline of y=2 where each point of the function that intersects the line is an inflection point. Inflection points are where the concavity changes, defined by when the second derivative is equal to 0 or undefined.

[tex]f(x)=sin(x)+2[/tex]

[tex]f'(x)=cos(x)[/tex]

[tex]f''(x)=-sin(x)[/tex]

[tex]0=-sin(x)[/tex]

[tex]x=\pi n[/tex] for any integer [tex]n[/tex]

From [tex][-10,10][/tex], there are 7 inflection points, which are[tex]x=-3\pi,-2\pi,-\pi,0,\pi,2\pi,3\pi[/tex]

The discriminant is greater than 0, so there are two real roots and it can be determined by using nature of roots.

Given that,

Equation; [tex]\rm 3x^2 - 8x + 5 = 5x^2[/tex]

We have to determine,

Which statement about the following equation is true?

According to the question,

To determine the true statement about the equation following all the steps given below.

Equation; [tex]\rm 3x^2-8x+5=5x^2[/tex]

Simplify the equation for the roots of the equation,

[tex]\rm 3x^2-8x+5=5x^2\\\\\rm5x^2- 3x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\ 2x^2+8x-5=0\\\\2x^2+8x=5\\\\2x(x+4)=5\\\\Then, \ 2x = 5, \ \ x = \dfrac{5}{2} \\\\And\ \ x+4=5, \ \ x=5-4, \ \ x=1[/tex]

The equation has two real roots and x is 1 and 5/2.

Hence, The discriminant is greater than 0, so there are two real roots.

For more details about Discriminate refer to the link given below.

https://brainly.com/question/10706429

Step-by-step explanation:

hope it will help you...

Answer:

radius of cylinder = 1 cm

Step-by-step explanation:

Start with the formula for the volume of a cylinder:  V = (pi)r²h, where r is the radius and h is the height.  We want to solve this for the radius, r.

Dividing both sides of the Volume formula (above) by (pi)h, we get:

           V

r² = -----------

        (pi)h  

If we now substitute 12.56 cc for V, 3.14 for pi and 4 cm for h, we get:

          V           12.56 cc

r² = ---------- = ----------------- = 1 cm²

       (pi)h         3.14(4 cm)

Taking the square root of both sides, we get    r = 1 cm

Answer: 2 wins to 1 loss

Step-by-step explanation:

Answer:

W= 2

Step-by-step explanation:

[tex]x^2 +6x +8\\\\=x^2 + 4x +2x +8\\\\=x(x+4) +2(x+4)\\\\=(x+2)(x+4)\\\\\text{Possible length and breadth of the rectangle are (x+4) and (x+2) respectively.}[/tex]

the height of the box is 9 inches

Answer:

solution given:

total surface area of a box=160 square inches

let length, width, and height be l,b, and h respectively.

according to the question:

l=2b

∴b =[tex]\frac{l}{2}[/tex]

l=h-4

∴ h=l+4

we have

total surface area of a box=160 square inches

2(lb+lh+bh)=160

[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]

[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]

[tex]4l^2+12l=160[/tex]

[tex]4(l^2+3l)=160[/tex]

[tex]l^2+3l=\frac{160}{4}[/tex]

[tex]l^2+3l-40=0[/tex]

doing middle term factorization

[tex]l^2+(8-5}l-40=0[/tex]

[tex]l^2+8l-5l-40=0[/tex]

taking common from each two terms

l(l+8)-5(l+8)=0

(l+8)(l-5)=0

either

l=-8[neglected as length is always positive]

or

l=5

now

b=[tex]\frac{5}{2} =2.5[/tex]

h=5+4=9

Step-by-step explanation:

Answer:

V = 14130 inches cubed

Step-by-step explanation:

the volume formula for a sphere is  [tex]V=\frac{4}{3} \pi r^{3}[/tex]. To solve plug in the values for each part of the equation. Pi will equal 3.14, and r will equal 15.

Answer:

  (x, y) = (22, 35)

  base angle theorem; angle sum theorem

Step-by-step explanation:

Base angles theorem:

Angles opposite congruent sides are congruent:

  3x -11 = 2x +11

  x = 22

__

Angle sum theorem:

The sum of angles in a triangle is 180°.

  (3x -11)° +(2x +11)° +2y° = 180°

  5x° +2y° = 180°

  2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x

  y = 35 . . . . . . . . . divide by 2

Answer:

44° and 99°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Subtract the 2 given angles from 360° to find the remaining sum

360° - (63 + 154)° = 360° - 217° = 143°

The 2 angles which sum to 143° are in the ratio 4 : 9

sum the parts of the ratio, 4 + 9 = 13 parts , then

143° ÷ 13 = 11° ← value of 1 part of the ratio, so

4 parts = 4 × 11° = 44°

9 parts = 9 × 11° = 99°

The other 2 angles are 44° and 99°

Answer: last one

Step-by-step explanation:

Answer:

y=3x-4

Step-by-step explanation:

Answer:

the jar of peanut butter is $2.36

Step-by-step explanation:

Answer: $2.36

Step-by-step explanation:

7x+8y=32

Just do pemdas

Answer:

7x+8y=32

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]y=-\frac{7x}{8} +4[/tex]

And we want to convert it into standard form

Standard form is ax+by=c, where a, b, and c are integer coefficients, a and b cannot be zero, and a cannot be negative

a is the coefficient in front of x and b is the coefficient in front of y

Since we have the term with x ([tex]-\frac{7x}{8}[/tex]) on the right side, and we want it on the left side with the term with y, we can move it to the other side, by adding [tex]\frac{7x}{8}[/tex] to both sides.

[tex]y=-\frac{7x}{8} +4[/tex]

+[tex]\frac{7x}{8}[/tex]   +[tex]\frac{7x}{8}[/tex]

_________________

[tex]\frac{7x}{8} + y =4[/tex]

Now we have the terms of x and y on both sides, but remember; we want the coefficients to be integers (whole numbers).

We'll need to clear the fraction of [tex]\frac{7x}{8}[/tex]. To do that, we can multiply both sides by 8.

[tex]8(\frac{7x}{8} + y) =8(4)[/tex]

Now doing the distributive property:

[tex]8(\frac{7x}{8}) + 8(y) =8(4)[/tex]

Multiply each term by 8.

7x + 8y = 32

Hope this helps!

[tex] \huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]

Let's substitute x with 5 to find the value of given expression ~

The value of the expression is 60.

According to the BODMAS rule, when there is a mathematical expression with a bracket, the terms in the bracket should be solved first. So the value of the expression in the bracket would be solved first.

(3(5) + 5)

(15 + 5)

= 20

The second step is to multiply 20 by 3.

20 x 3 = 60

To learn more about multiplication, please check: https://brainly.com/question/3385014

Answer:

9 hours

Step-by-step explanation:

Answer:

[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]

number of hours in a day = 24

according to scientists ,

we should sleep number of hours = 3/8

therefore ,

[tex] \frac{3}{8} \: of \: 24 \: hours = \frac{3}{8} \times 24 \\ = > 9 \: hours[/tex]

hope helpful~

Answer:

(222 - 6) + 12

Step-by-step explanation:

You put B and C as the same thing but the correct option is this because first you take away 6 (subtract 6) from the 222 marbles then you replace them with 12 (add 12).

Answer:

5x+7

Step-by-step explanation:

Answer:

8.0029 x[tex]10^{1}[/tex]

Step-by-step explanation:

8 x 10=80

2 x [tex]\frac{1}{100}[/tex]=0.02

9x[tex]\frac{1}{1,000}[/tex]= 0.009

add all ur answers together and u get 80.029

then in standard form that nwould be 8.0029 x[tex]10^{1}[/tex]

Hoped that helped:P

Answer:

the common factor in the given algebraic expressions: x(a-b), y (b-a)

Step-by-step explanation:

Answer:

10.41

Step-by-step explanation:

hehe

Answer:

11

Step-by-step explanation:

Total number of pencils needed = 125 × 2 = 250

Total number of boxes = [tex]\frac{250}{24}[/tex] = 10.416

the teacher need to buy 11 boxes

Answer:

16

Step-by-step explanation:

80% of 20 is 16

Answer:

25

Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.