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3 years ago

Evaluate a + 6 for a = 10.

Mathematics

2 answers:

iris [78.8K]3 years ago

8 0

Your answer is 16 hope it helps!!!!

Arte-miy333 [17]3 years ago

4 0

Answer:

Step-by-step explanation:

substitute a for 10

10 + 6 would be 16

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What is the smallest positive integer whose proper divisors add up to more than the integer itself?

Alex777 [14]

I pretty sure it's 1

3 0

4 years ago

A rectangle’s area and perimeter have the same numerical value. The length of the rectangle is 10 feet.

KiRa [710]

Answer:

The width of the rectangle is 2.5 feet

Step-by-step explanation:

Here, we want to calculate the width of the rectangle given its length

Let the area = perimeter = x

Mathematically;

area of rectangle = L * B = 10B

The perimeter of the rectangle = 2(L + B)

Also;

x = 10B

Let’s equate this to the perimeter

x = 10B = 2(L + B)

10B = 2(10 + B)

10B = 20 + 2B

10B -2B = 20

8B = 20

B = 20/8

B = 5/2

B = 2.5

3 0

4 years ago

a cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12x-220=0. show the equation b

nikdorinn [45]

Answer:

Part 1)

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

Both values of x are

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

Part 2) The dimensions of the cuboid are

$4\ cm$ , $(-5+\sqrt{266})\ cm$ and $(5+\sqrt{266})\ cm$

Step-by-step explanation:

step 1

we know that

The volume of the cuboid is equal to

$V=LWH$

substitute the given values

$V=4(x+1)(x+11)$

$V=924\ cm^{3}$

$4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0$

Complete the square

$x^{2}+12x-230=0$

$x^{2}+12x=230$

$x^{2}+12x+36=230+36$

$(x+6)^{2}=266$

square root both sides

$x+6=(+/-)\sqrt{266}$

$x=-6(+/-)\sqrt{266}$

$x1=-6+\sqrt{266}$

$x2=-6-\sqrt{266}$

therefore

The equation by factorization is

$x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))$

step 2

Find the dimensions of the cuboid

The dimensions are

$4\ cm$

$(x+1)\ cm -----> (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm$

$(x+11)\ cm ----> (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm$

4 0

3 years ago

Read 2 more answers

HELPPPPPPPPP Please

svp [43]

Answer:

x= 27/2

Step-by-step explanation:

6 0

3 years ago

What are the answers to all of these questions?

VikaD [51]

We have that

N 11)
a) graph the equation y=x²-3x-10

using a graph tool
see the attached figure

b) Determine the roots of the equations
the roots of the equations are the values for y=0
x²-3x-10=0
x²-3x-10=(x+2)*(x-5)=0
the roots are
x1=-2
x2=5

see the attached figure problem 11

N 12) what is the value of x in the equation?
3x²=7x

3x²=7x-------> 3x²-7x=0--------> x*(3x-7)=0

x1=0
3x-7=0------> 3x=7------> x=7/3

the values of x are
x1=0
x2=7/3---> 2.33
see the attached figure problem 12

N 13) what is the value of x in the equation?
x²-5x=6----------> x²-5x-6=0
x²-5x-6=0-------> (x+1)*(x-6)=0
the values of x are
x1=-1
x2=6

N 14) what is the value of x in the equation?
2x²-5x=12--------> 2x²-5x-12=0

using a graph tool
see the attached figure problem N 14
2x²-5x-12=0----------> (x+3/2)*(x-4)=0

the values of x are
x1=-3/2
x2=4

7 0

3 years ago