Evaluate ab+bc+ca . If a²+b²+c²=50 and a+b+c=12​

Answer:

I did this same answer on another app

hope this help☺️

Step-by-step explanation:

[tex]3)b \: c \ \: d \: e \\ \\ 4)bc \: nd \: de \\ 5)s \\ 6)t \\ thank \: you[/tex]

Answer:

It's already it in it's simplest form. You can find the simplest form by dividing the fraction by two ( 4/8 for example, you can divide 4 by two, giving you 2, and divided 8 by two, giving you 4, which makes 2/4, and do it once more, giving you 1/2.

Answer:

10

Step-by-step explanation:

(10*2) ÷ (1+1)

Parentheses first

20 ÷2

Then divide

10

Answer:

The answer to the equation is 10.

Step-by-step explanation:

Use PEMDAS/Order of operations.

Parentheses go first.

(10*2) divided by (1+1)

remove the parentheses after working on the equation in them

20 divided by 2

20/2=10

the answer is 10

If you have any questions tell me them in the comments, I will come answer them. Have a good day.

Combination of n things taken r at a time: nCr

a) combinations of healthy apples/all combinations

=13C4/15C4

=715/1365

=.5238

.

b) 1-.5238=.4762

.

Ed

Answer:

The vertex is at (-1, -16).

Step-by-step explanation:

We are given the quadratic equation:

[tex]y = (x-3)(x+5)[/tex]

And we want to find its vertex.

Recall that the x-coordinate of the vertex is also the axis of symmetry. Since a parabola is symmetric about the axis of symmetry, the axis of symmetry is halfway between the two roots.

From the equation, we can see that our two roots are x = 3 and x = -5.

Hence, the axis of symmetry or the x-coordinate of the vertex is:

[tex]\displaystyle x = \frac{(3) + (-5)}{2} = -1[/tex]

To find the y-coordinate of the vertex, evaluate the equation at x = -1:

[tex]\displaystyle \begin{aligned} y(-1) &= ((-1)-3)((-1)+5)\\ &= (-4)(4) \\&= -16\end{aligned}[/tex]

Hence, the vertex is at (-1, -16).

Answer:

g(5) = -1

Step-by-step explanation:

Let x = 5.

[tex]g(5)=-(5)+4\\g(5)=-5+4\\g(5)=-1[/tex]

Answer:

-1

Step-by-step explanation:

g(x)= -x+4

then substitute 5 on x

=-(5)+4=-1

Answer:

chk photo

Step-by-step explanation:

Answer:

√3+√7 is irrational.

Step-by-step explanation:

Let us assume that √3+√7 is rational.

That is , we can find coprimes a and b (b≠0) such that \sqrt{3}+\sqrt{7}=\sqrt{a}{b}

3

+

7

=

a

b

Therefore,

\sqrt{7}=\frac{a}{b}-\sqrt{3}

7

=

b

a

−

3

Squaring on both sides ,we get

7=\frac{a^{2}}{b^{2}}+3-2\times \frac{a}{b}\times \sqrt{3}7=

b

2

a

2

+3−2×

b

a

×

3

Rearranging the terms ,

\begin{gathered}2\times \frac{a}{b}\times \sqrt{3}=\frac{a^{2}}{b^{2}}+3-7\\=\frac{a^{2}}{b^{2}}-4\end{gathered}

2×

b

a

×

3

=

b

2

a

2

+3−7

=

b

2

a

2

−4

\implies 2\times \frac{a}{b}\times \sqrt{3}=\frac{a^{2}-4b^{2}}{b^{2}}⟹2×

b

a

×

3

=

b

2

a

2

−4b

2

\begin{gathered}\implies \sqrt{3}=\frac{a^{2}-4b^{2}}{b^{2}}\times \frac{b}{2a}\\=\frac{a^{2}-4b^{2}}{2ab}\end{gathered}

⟹

3

=

b

2

a

2

−4b

2

×

2a

b

=

2ab

a

2

−4b

2

Since, a and b are integers , \frac{(a^{2}-4b^{2})}{2ab}

2ab

(a

2

−4b

2

)

is rational ,and so √3 also rational.

But this contradicts the fact that √3 is irrational.

This contradiction has arisen because of our incorrect assumption that √3+√7 is rational.

Hence, √3+√7 is irrational.

Answer:

3a^2 + 20a + 34

Step-by-step explanation:

(2a + 5)^2 = 4a^2 + 20a + 25

(a +3)(a - 3) = a^2 - 9

Put these two partial answers together.

4a^2 + 20a + 25 -(a^2 -9 )                 Remove the brackets.

4a^2 + 20a + 25 -  a^2 + 9

4a^2 + 20a + 25 - a^2 + 9

3a^2 + 20a + 34

Answer: 3a² + 20a + 34

Concept:

When doing simplifying expressions, following the PEMDAS method would be easier.

When expanding parentheses, following the FOIL method would be easier.

Solve:

Given expression

(2a + 5)² - (a + 3) (a - 3)

Simplify exponenets

= (2a + 5) (2a + 5) - (a + 3) (a - 3)

Expand parentheses

= 4a² + 10a + 10a + 25 - (a² - 3a + 3a - 9)

= 4a² + 10a + 10a + 25 - a² + 3a - 3a + 9

Combine like terms

= 4a² - a² + 10a + 10a + 3a - 3a + 25 + 9

= 3a² + 20a + 34

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 35.8°

Hope this helps...Have a good day!!

Answer:

x=35.8

Step-by-step explanation:

The value they should put on the sign where people tee off so they know

what par is for the hole is six (6)

The reasoning through which the correct answer is arrived at is presented here given table of values which is presented as follows;

[tex]\left[\begin{array}{ccc}Golf \ Strokes \ (x)&Frequency \ (f) & f \times x\\2&16& 32\\3&21&63\\4&23&92\\5&20&100\\6&54&324\\7&40&280\\8&23&184\\9&16&144\\\sum&213&1,219\end{array}\right][/tex]

The mean number of golf strokes for the hole is ∑(f·x)/∑f

The calculation for f × x on the table includes;

∑(f·x) = (2×16 + 3×21 + 4×23 + 5×20 + 6×54 + 7×40 + 8×23 + 9×16) = 1219

∑f = 16 + 21 + 23 + 20 + 54 + 40 + 23 + 16 = 213

∴ ∑(f·x)/∑f = 1,219/213 = 5.72 ≈ 6

The mean number of golf strokes expected is approximately 6 strokes

The value they should put on the sign where people tee off so they know what par is for the hole is 6

Answer:

Step-by-step explanation:

[tex]\displaystyle \Large \boldsymbol{} \tt a) \ 3-2x=3(x+4)-x-1\\\\3-2x=3x+12-x-1 \\\\3-12+1=3x+2x-x \\\\4x=-8 \\\\\boxed{ \tt x=-2} \\\\\\b) \ 5x\underline{(x-1)}-4\underline{(x-1)}=0 \\\\\\(5x-4)(x-1)=0 \Longrightarrow \boxed{ \tt x_1=0.8 \ \ ; \ \ x_2=1}[/tex]

Answer: 1, -3/2

Step-by-step explanation:

Answer:

a=v-u÷t

0.2=v-0÷180

0.2×180=v

36=v

answer your phone

n-15

stepson

n represents a number minus 15

Answer:

Step-by-step explanation:

Draco is a daddy’s boy

Answer:

140

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

x = 72 + 68

x = 140

Answer:

B.The quotient is undefined because the denominator is zero.

Step-by-step explanation:

You cannot divide by zero.  Take a piece of paper and divide into zero pieces.  It cannot be done as we know it.  That is undefined.

The quotient is undefined because the denominator is zero.

Option (B) is the correct answer.

Answer:

16/c

Step-by-step explanation:

quotient means divide

16/c

Answer:

16/c

Step-by-step explanation:

since it says quotient...

u got to divide

Answer:

The two equations are similar because they both end up with the same common value. 0=0 The work you need to show that this is correct will be shown below.

Step-by-step explanation:

2(5m−4)−3(m−5)2=−3m2+40m−83

Add 3m^2 to both sides.

−3m2+40m−83+3m2=−3m2+40m−83+3m2

40m−83=40m−83

Subtract 40m from both sides.

40m−83−40m=40m−83−40m

−83=−83

−83+83=−83+83

0=0

If you have any questions regarding my answer please tell me in the comments, I will come and answer them. Have a good day.

Answer: D. 12m

Step-by-step explanation:

They are both like terms so they can be added

9514 1404 393

Answer:

  equals can be substituted anytime anywhere

Step-by-step explanation:

cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.

__

If you don't substitute at some point, you find the answer to be ...

  x = 10/cos(60°)

Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.

360 squared centimeter.

Answer:

Step-by-step explanation:

(-6 , 1) & (8 , 1)

d1 = 8 + I - 6I = 8 + 6 = 14

(1,6) & (1 , -4)

d2 = 6 + I -4 I = 6 + 4 = 10

Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2}[/tex] where  d1 & d2 are the diagonals

                            [tex]\frac{14*10}{2} = 7 * 10 = 70 \ square \ units[/tex]

Answer:

D. Positively skewed

Step-by-step explanation:

Step-by-step explanation:

150/1800

=12

he must work 12 hours to earn rs.1800

mark me as brainliest if this helps to u

Answer:

12 hours

Step-by-step explanation:

He earns R150 per hour and he wants to earn R1800:

1800/150 = 12

He must work 12 hours to earn R1800.

Answer:

25

Step-by-step explanation:

180-90-65 = 25

Opposite angles are same

Answer:

Step-by-step explanation: