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3 years ago

The sum of two numbers is 12. the difference of the same two numbers is -4 . find the two numbers

Mathematics

1 answer:

gtnhenbr [62]3 years ago

5 0

Answer:

(4,8)

x=4

y=8

Step-by-step explanation:

x is the first number

y is the second number

x+y=12

x-y= -4

Let's add y and 4 to the second equation to get y by itself

x+4=y

We can substitute this value in for y in the first equation

x+x+4=12

2x=8

x=4

We can then use x=4 and plug that into any equation

4+y=12

y=8

The answer is (4,8)

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Find the volume and surface area of the square pyramid

Montano1993 [528]

The volume and surface area of the pyramid will be 392 / 3 cubic units and 189 square units. Then the correct option is A.

The complete question is attached below.

<h3>What is the volume and surface area of the pyramid? </h3>

Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.

Then the volume of the pyramid will be

V = (L × B × H) / 3

The surface area of the pyramid will be

SA = 2(1/2 × B × K) + 2(1/2 × L × K) + (L × B)

Then the volume will be

V = (7 × 7 × 8) / 3

V = 392/3 cubic units

Then the surface area will be

SA = 2(1/2 × 7 × 10) + 2(1/2 × 7 × 10) + (7 × 7)

SA = 189 square units

Then the correct option is A.

More about the volume and surface area of the pyramid link is given below.

brainly.com/question/23302816

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4 0

2 years ago

Help help help help help help

Furkat [3]

$\huge\bold{\purple{\bold{⚡133°⚡}}}$

Step-by-step explanation:

Co interior angles' sum is 180°

So, 180-67=133
133°

5 0

2 years ago

Segment wx is shown Explain how you would construct a perpendicular bisector of wx using a compass and a straightedge

n200080 [17]

Answer:

To perpendicular bisector of line segment WX. There are following steps:

1) Draw arcs or circles from points A and B on the both sides of WX.

2) Name the intersection points as W and X.

3) Use the straightedge to draw a line through points W and X.

4) Name the point as O

hence we have construct perpendicular bisector AB of WX which bisects at O.

4 0

3 years ago

6) 8x+y=-16<br> -3x+y=-5<br> Solve each system by elimination?

Anarel [89]

Answer:

x=-2.2 y=-1.6

Step-by-step explanation:

8x+y=-16

-3x+y=5

5x=-11

x=-11/5 or -2.2

-3x+y=5

-3(-2.2)+y=5

6.6+y=5

-6.6+y=-6.6

y=-1.6

4 0

3 years ago

Helpp!!<br> Simplify : [( 4 1/6 + 2 1/3 ) ÷ 4 1/3 ] - 1 1/2

Nadusha1986 [10]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{0}}}}}$

Step-by-step explanation:

$\sf{ [ (4 \frac{1}{6} + 2 \frac{1}{3} ) \div 4 \frac{1}{3}] - 1\frac{1}{2} }$

Convert the mixed numbers into improper fraction

$\longrightarrow{ \sf{ [ ( \frac{25}{6} + \frac{7}{3} ) \div \frac{13}{3}] - \frac{3}{2}}}$

Add the fractions : 25 / 6 and 7 / 3

While performing addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fraction.

To do so, first take the L.C.M of 6 and 3 which results to 6

$\longrightarrow\sf{ [( \frac{25 + 7 \times 2}{6} ) \div \frac{13}{3} ] - \frac{3}{2}}$

$\longrightarrow{ \sf{ [( \frac{25 + 14}{6} ) \div \frac{13}{3} ] - \frac{3}{2} }}$

$\longrightarrow{ \sf{ [ \frac{39}{6} \div \frac{13}{3}] - \frac{3}{2} }}$

Multiply the dividend by the reciprocal of the divisor.

Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator

$\longrightarrow{ \sf{ [ \frac{39}{6} \times \frac{3}{13} ] - \frac{3}{2}}}$

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

$\longrightarrow{ \sf{ [ \frac{39 \times 3}{6 \times 13} ] - \frac{3}{2}}}$

$\longrightarrow{ \sf{ [ \frac{117}{78} ] - \frac{3}{2} }}$

$\longrightarrow{ \sf{ \frac{3}{2} - \frac{3}{2} }}$

While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same

$\longrightarrow{ \sf{ \frac{3 - 3}{2} }}$

Subtract 3 from 3

$\longrightarrow{ \sf{ \frac{0}{2}}}$

Divide 0 by 2

$\longrightarrow{ \sf{0}}$

Hope I helped!

Best regards!

3 0

3 years ago