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3 years ago

The sum of two numbers is 49 and the difference is 25 . What are the numbers?

Mathematics

1 answer:

OLEGan [10]3 years ago

4 0

Answer:

x = 37 y = 12

Step-by-step explanation:

Let x be one number

Let y = other number

x+y = 49

x-y = 25

Add the equations together

x+y = 49

x-y = 25

---------------

2x = 74

Divide by 2

2x/2 = 74/2

x =37

x+y = 49

37+y = 49

Subtract 37 from each side

37+y-37 = 49-37

y = 12

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WILL GIVE BRAINLIEST ANSWER TO WHOEVER IS ABLE TO FULLY AND CORRECTLY ANSWER THIS QUESTION. Consider and trapezoid in the follow

FinnZ [79.3K]

This is an isosceles trapezoid, because the two angles are supplementary on the right side.

y is 25 based on the Pythagorean theorem

w is sqrt (850)=29.15

z must be 15

Making a right triangle to look at the altitude

cos 59=a/15, so a is 7.73 between the right corner and the edge of x

That means x is 29.15-2(7.73)=13.69

=============

The median should be half way between 13.69 and 29.15

That is half their sum, or half of 42.84 or 21.42

That doesn't change the answer above

Once I know the trapezoid is isosceles, the angles at the base have to be 59d and the angles at the top 121d.

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3 years ago

Find the area. Simplify your answer.

Colt1911 [192]

Answer:

x = 26

Step-by-step explanation:

it is a right angle so

(x+4)3=90

3x+12=90

-12 -12

3x = 90-12

3x = 78

/3 /3

x = 26

7 0

2 years ago

The equation (x-6)^2/16 + (y+7)^2/4 = 1 represents an ellipse. What are the vertices of the ellipse?

topjm [15]

Answer:

The correct option is C.

Step-by-step explanation:

The given equation is

$\frac{(x-6)^2}{16}+\frac{(y+7)^2}{4}= 1$

It can be rewritten as

$\frac{(x-6)^2}{4^2}+\frac{(y+7)^2}{2^2}= 1$ .....(1)

The standard form of an ellipse is

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1$ ....(2)

Where (h,k) is center of the ellipse.

If a>b, then the vertices of the ellipse are $(h\pm a, k)$ .

From (1) and (2) we get

$h=6,k=-7,a=4,b=2$

Since a>b, therefore the vertices of the ellipse are

$(h+a, k)=(6+4,-7)\Rightarrow (10,-7)$

$(h-a, k)=(6-4,-7)\Rightarrow (2,-7)$

The vertices of the given ellipse are (10, –7) and (2, –7). Therefore the correct option is C.

5 0

2 years ago

Read 2 more answers

PLEASE HELP!!!!! DUE TODAY!!!!!

prisoha [69]

Answer:

12.4 cm³

Step-by-step explanation:

From the picture attached,

Radius of the circular top of the cone = $\frac{\text{Diameter}}{2}$ = $\frac{2}{2}=1$

Height of the cone = h

Lateral height of the cone = h

By applying Pythagoras theorem in the right triangle of the cone,

l² = r² + h²

6² = 1² + h²

h = $\sqrt{36-1}$

h = $\sqrt{35}$

Ice cream needed to fill one cone = Volume of the cone

Since, formula for the volume of the cone V = $\frac{1}{3} \pi r^{2} h$

V = $\frac{1}{3}\pi (1)^2(\sqrt{35})$

= 6.195

≈ 6.20 cm³

Ice cream needed to fill the two cones = 2 × 6.20

= 12.4 cm³

Therefore, ice cream needed to fill the two cone = 12.4 cm³

4 0

2 years ago

Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x

Marrrta [24]

When we graph the function, it has a vertex of (3, 16).

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Since the maximum is 3, it will take 3 seconds for the ball to reach its maximum height.

A graph will be shown below showing the function and vertex.

Best of Luck!

5 0

2 years ago

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