What id the area of a triangle with the base of 5 and the height of 8

Answer:

x = 1 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

x(x - 2) = 4

Multiply x on the left side by foil.

[tex]x^{2}- 2x = 4[/tex]

Subtract 4 on both sides.

[tex]x^{2} -2x-4=0[/tex]

Now, the quadratic formula.

x = (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex]) / 2a

Using the standard form equation.

Ax² + Bx + C = 0

(1)x² - 2x - 4 = 0

A = 1

B = -2

C = -4

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

x = (2 ±[tex]\sqrt{4+16}[/tex] ) / 2

x = (2±[tex]\sqrt{20}[/tex])/2

x = (2±2[tex]\sqrt{5}[/tex])/2

x = 1 ± [tex]\sqrt{5}[/tex]

Answer:763

Step-by-step explanation:

you add both numbers

Answer :  8

Explanation : 4 × 2 = 8

◊ YusuCr ◊

Answer:

8

Step-by-step explanation: if your times it by two it would be 4x2 = 8 :)

Answer:

11.776

Step-by -step explanation:

Here we are given a equation which is ,

[tex]\rm\longrightarrow 10^{x-10}-8=51.7 [/tex]

And we would like to solve this using logarithms , so firstly add 8 on both sides , we get ;

[tex]\rm\longrightarrow 10^{x-10}= 51.7+8 [/tex]

Simplify,

[tex]\rm\longrightarrow 10^{x-10}= 59.7 [/tex]

Now take log to the base 10 on both sides ,

[tex]\rm\longrightarrow log_{10}10^{x-10}=log_{10}(59.7) [/tex]

Recall that [tex]log\ m^n = n\ log m [/tex] .So ;

[tex]\rm\longrightarrow (x-10)(log_{10}10=log_{10}(59.7) [/tex]

Again recall that [tex] log_a a = 1[/tex] .So ; here [tex]log_{10}10[/tex] becomes 1 .

[tex]\rm\longrightarrow (x -10)1 = log_{10}59.7 \\ [/tex]

[tex]\rm\longrightarrow (x-10)= log_{10}(59.7)[/tex]

And the value of log 59.7 = 1.7759 . So on substituting this value , we have ;

[tex]\rm\longrightarrow x -10 = 1.7759 [/tex]

Add 10 to both sides ;

[tex]\rm\longrightarrow x = 10+1.7759 [/tex]

Simplify,

[tex]\rm\longrightarrow \underline{\underline{\red{\rm { x = 11.7759 \approx 11.776}}}}[/tex]

And we are done !

[tex]\rule{200}4[/tex]

[tex]\large\red{\bigstar}\underline{\underline{\textsf{\textbf{ Some related formulae :- }}}}[/tex]

[tex]\boxed{\boxed{\begin{minipage}{5cm}\displaystyle\circ\sf\ ^{a} log \ a= 1\\\\\circ \ ^{a}log \ 1 = 0 \\\\\circ \ ^{a ^{n}} log \ b^{m}= \dfrac{m}{n} \times\:^{a}log \ b \\\\\circ \ ^{a^{m}} \ log \ b^{m} = \ ^{a}log \ b \\\\\circ \ ^{a}log \ b = \dfrac{1}{^{b}log \ a} \\\\\circ \ ^{a}log \ b = \dfrac{^{m}log \ b}{^{m} log \ a} \\\\\circ \ a^{^{a} logb} = b \\\\\circ \ ^{a}log \ b + ^{a}log \ c = \ ^{a}log(bc) \\\\\circ \ ^{a}log \ b -\: ^{a}log \ c = \ ^{a}log \left( \dfrac{b}{c} \right) \\\circ \ ^{a}log \ b \:\cdot\: ^{a}log \ c = \ ^{a}log \ c \\\\\circ \ ^{a}log \left( \dfrac{b}{c} \right) = \ ^{a}log \left(\dfrac{c}{b}\right)\end{minipage}}} [/tex]

Answer:

forty hundreths

Step-by-step explanation:

40/100 is equivalent to 4/10 and has a denominator of 100

(forty hundreths)

Reasoning? 40/100 is 10 times 4/10

Answer:

#1

Well lets solve the polynomial first.

(4p +3) ^2

That is basically

(4p + 3) (4p + 3)

And we’re trying to find the error in the “equal” solution.

16p^2 + 8p + 9.

So let’s solve the polynomial first

Following F.O.I.L

F- First

O- Outter

I- Inner

L- Last

So doing the equation in order.

4p * 4p = 16p^2

4p * 3 = 12p

3 * 4p = 12p

3* 3 = 9

Added it all up.

16p^2 + 12p + 12p + 9

Simplify.

16p^2 +24p +9
We can see that in this case the 8p is wrong.

So we replace 8p with 24p

In this case the last option.

Factoring #2

So we’re factoring

9x^2 -6x - 3

So how are we gonna do this.

So I’m just gonna go over the simple method.

The standard form of a quadratic is

Ax^2 + bx + c = 0

We don’t have to worry about the equal 0 part here for now.

ax^2 + bx + c

A being the number next to x^2

B is the number being next to x

C is the number that is next to nothing, jsut a plain whole number (sometimes whole number)

So let’s plug it in.

(It’s already plugged in so we can solve)

9x^2 - 6x - 3

Multiply a and c in ths case being, 9 and -3.

You’d get -27

We need two numbers that multiply to -27 and add up to -6

From here it’s guessing and checking.

Here’s my process.

trial 1

Since the sum is negative, it has to be negative + negative or positive + negative greater then the positive. Or vice versa but positive is less then negative.

But the product has to be -27,negative * negtaive is positive, so it has to be positive * negative and positive + negative.

I look at -27 and think of two numbers that would give the lowest.

-9 * 3

-9 * 3 = -27

-9 + 3 = -6

It looks like I got it already on the first try.

The numbers are -9 and 3

end of trial 1

So now I know that the numbers are -9 and 3.

Using that information I just plug it into the quadratic but replace it with b.

9x^2 -9x + 3x - 3

Now you can simplify this

In the end you’d get

3 (3x+1)(x-1)

You’d have the third option open to you

Figure out the second one using these strategies

Answer:

  2

Step-by-step explanation:

To find the number corresponding to a percentage, multiply the base value by the percentage.

  10% of 20 = 0.10 ×20 = 2

2 people picked vanilla cupcakes.

Answer:

The second graph is the answer

Answer:

D is the correct ans

Step-by-step explanation:

Because

The value of x coordinate for point E is,

⇒ x = 6

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Grace has a segment with endpoints C (3, 4) and D (11, 3)

And, It is divided by a point E such that CE and DE form a 3:5 ratio.

Hence, We get;

The coordinates of E is,

E = [ ( 3× 11  + 5 × 3)/(3 + 5) , (3×3  + 5 × 4)/(3 + 5) ]

   = [ (33 + 15)/8 , (9 + 20)/8 ]

    = *(48/8  ,  29/8)

    =  (6 , 3.625)

Thus, The value of x coordinate for point E is,

⇒ x = 6

Learn more about the coordinate visit:

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Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

1 ton = 2000 pounds

2000÷40=50

Answer:

x coordinate: 2

y coordinate: -3

explanation:

[tex]\sf \large\boxed{{\left \{\sf \ {{y=\frac{1}{2} x-4} \atop {y=-2x+1}} \right. }}[/tex]

solve them by combination:

[tex]\rightarrow \sf \dfrac{1}{2} x -4 = -2x+1[/tex]

[tex]\rightarrow \sf \dfrac{1}{2} x +2x= 1+4[/tex]

[tex]\rightarrow \sf 2.5x=5[/tex]

[tex]\rightarrow \sf x=2[/tex]

Find y:

[tex]\sf y = -2x + 1[/tex]

[tex]\sf y = -2(2) + 1[/tex]

[tex]\sf y = -3[/tex]

Answer:

5x^3 + 7

Step-by-step explanation:

So basically a binomial is when there are 2 terms

To a certain degree (it's 3 in this case) is when the variable is to that power.

For example: [tex]5x^{3} + 7[/tex]

Answer:

Step-by-step explanation:

Step-by-step explanation:

35 × 14 = 476

476 × 4 = 1904 yd

14 × 14 = 196

196 × 2 = 392 yd

now,

392 yd + 1904 yd = 2296 yd². ans.

hope this helps you !

Answer:

1) 6.6 × 10^5   2) 3.65 × 10^-3   3) 9 × 10^-3   4)  8.1 × 10^2

Step-by-step explanation:

I think that's what it is.

Answer:

C Is the correct answer

I am not sure please check it out once

Answer:

b) [tex]4 \frac12[/tex] inches

3. a) [tex]2\frac{1}{8}[/tex] foot

Step-by-step explanation:

b)  area of a rectangle = length × width

Given:

[tex]\implies 15\frac{3}{10}=(x+3) \times 3\frac25[/tex]

[tex]\implies \dfrac{15\times10+3}{10}=(x+3) \times \dfrac{3 \times 5+2}5[/tex]

[tex]\implies \dfrac{153}{10}=(x+3) \times \dfrac{17}5[/tex]

[tex]\implies \dfrac{153}{10} \div \dfrac{17}5=x+3[/tex]

[tex]\implies \dfrac{153}{10} \times \dfrac{5}{17}=x+3[/tex]

[tex]\implies \dfrac{765}{170} =x+3[/tex]

[tex]\implies \dfrac92=x+3[/tex]

[tex]\implies 9=2(x+3)[/tex]

[tex]\implies 9=2x+6[/tex]

[tex]\implies 2x=3[/tex]

[tex]\implies x=\dfrac32[/tex]

Therefore,

[tex]\textsf{length} = \dfrac32 + 3 = \dfrac92 = 4 \frac12[/tex]

Question 3a

Subtract the length of the picture from the length of the wall, then divide the answer by 2.

[tex]\implies (14\frac12-10\frac14) \div 2[/tex]

[tex]\implies \left(\dfrac{14 \times 2 +1}{2}-\dfrac{10\times4+1}{4}\right) \div 2[/tex]

[tex]\implies \left(\dfrac{29}{2}-\dfrac{41}{4}\right) \div 2[/tex]

[tex]\implies \dfrac{17}{4} \div 2[/tex]

[tex]\implies \dfrac{17}{4} \times \dfrac12[/tex]

[tex]\implies \dfrac{17}{8}[/tex]

[tex]\implies 2\frac{1}{8}[/tex]

Answer:

1st and 6th option, 35 adult tickets

Step-by-step explanation:

So we know adult tickets are x and children tickets are y.

The total number of tickets is 57, so

x + y = 57

The adult tickets are worth 6 and the children's tickets are worth 2.50.

The total cost is 265.

6x + 2.5y = 265

Now, the system of equations.

6x + 2.5y = 265

-6x - 6y = -342

-3.5y = -77

y = -77/-3.5

y = 22

Plugging y back in

x + 22 = 57

x = 35 adult tickets sold

* $265 worth of tickets were sold

* Adult tickets cost $6

* Child tickets cost $2.50

* 57 tickets were sold

Let x represents the number of adult tickets sold and y as the number of child ticket sold

Which squations equation represents the scenerio? select 2 options

so ,the equations would be

⤿ x + y = 57 ✓

⤿ 6x + 2.5y = 265 ✓

x + y = 57.....(1)

6x + 2.5y = 265.....(2)

Multiplying equation 1st by 6

we get,

6x + 6y = 342 ...(3)

subtracting equation (3) by equation (2)

we get,

6x + 6y = 342

-6x + 2.5y= 265

_____________

ㅤㅤ 3.5y =

ㅤㅤ y = 77/3.5

ㅤㅤ y = 22

_______________

______________________________

_______________________________

_______________________________

Answer: -7324218

Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.

5 is being multiplied.

Sum of geometric progression formula: [tex]S_{n}=\frac{a(1-r^{n})}{1-r} \\[/tex]

Sn = sum of n terms

a = first term in sequence

r = common ratio/multiple

n = number of terms

Therefore: [tex]S_{10}=\frac{-3(1-5^{10})}{1-5}[/tex] = -7324218

brainliest please :)

Answer:

Next you should multiply the numerators and denominators.

explanation:

i got 100% ;)

Answer:

Multiply The Numearters and Denomenators

Step-by-step explanation:

Answer:

Step-by-step explanation:

m∠AOB+m∠BOC=180°

m∠AOB=8x+51°

m∠BOC=6x-25°

~

[tex]\tt 8x+51+6x-25=180[/tex]

[tex]\tt 14x+26=180[/tex]

[tex]\tt 14x=180-26[/tex]

[tex]\tt \cfrac{14x}{14} =\cfrac{154}{14}[/tex]

[tex]\tt x=11[/tex]

m∠AOB:-

[tex]\tt 8(11)+51[/tex]

[tex]\tt =88+51[/tex]

[tex]\tt =139^{o}[/tex]

Therefore, m∠AOB=139°

Answer:

270216 this the multiplication of the numbers you can also use a calculator

Answer:

Option D. 5890.5 feet²

Step-by-step explanation:

An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.

Yard has three sprinkler heads that each cover circular area with no overlap.

We have to calculate the approximate area watered by these 3 sprinkler heads.

Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²

Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²

which matches the approximate value of Option D. 5890.5 feet²

h

it's f but reflected diagonally

Answer:

Step-by-step explanation:

[tex]1.\ 2(6h - 3) = 30[/tex]

[tex]2.\ \frac{5z+4}{2}=7[/tex]

[tex]3.\ 22 - 7y = 1[/tex]

[tex]4.\ \frac{8-2t}{3} =2[/tex]

[tex]5.\ \frac{3}{4}x +2x=11[/tex]

[tex]6.\ 5(6 + 4g) =50[/tex]

[tex]7. \ 9+\frac{2}{3}k=13[/tex]

[tex]8.\ \frac{7+3c}{5}=2[/tex]

[tex]9.\ \frac{3f+6}{8}=3[/tex]

[tex]10.\ 8(5q + 6)=88[/tex]

Hope this helps!

The computation of the power shows that Natasha was right as the value gotten is 295hp.

From the information given, t is given as 5.825 to the cube root of w/p.

In this case, the value of p will be:

p = w/t³(5.823)³

p = 3590(5.823)³ / (13.4)³

p = 708828.13/2406.104

p = 295hp

In conclusion, Natasha was correct.

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