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4 years ago

What is the value of x in the equation 2x+3y=36 wheh y=6

Mathematics

1 answer:

vova2212 [387]4 years ago

4 0

X is 9
$2x + 3y = 36 \\ 2x + 3(6) = 36 \\ 2x + 18 = 36 \\ 2x = 36 - 18 = 18$
$x = \frac{18}{2} = 9$

good luck

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Semielliptical Arch Bridge An arch for a bridge over a highway is in the form of half an ellipse. The top of the arch is 20 feet

photoshop1234 [79]

Answer:

the span of the bridge is 73.7 feet

Step-by-step explanation:

The equation of an ellipse with a vertical major axis(i.e major axis parallel to y axis) is given by:

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

where (h,k) are the coordinates of the center of the ellipse, a is the length of the major axis and b is the length of the minor axis

For this problem, the center of the ellipse (h,k) = (0,0)

Therefore:

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

The top of the arch is 20 feet above the ground level (the major axis), therefore a=20

length of the major axis = 2a= 2*20 = 40

$\frac{x^{2} }{b^{2} } + \frac{y^{2} }{20^{2} }= 1\\\frac{x^{2} }{b^{2} } + \frac{y^{2} }{400 }= 1$

The coordinates of the ellipse (x,y) = (28,13)

$\frac{28^{2} }{b^{2} } + \frac{13^{2} }{400 }= 1$

$\frac{28^{2} }{b^{2} } + 0.4225= 1$

$\frac{784 }{b^{2} } = 0.5775$

b² ≅ 1358

b≅36.85

Length of minor axis (2b) = 73.7 feet.

the span of the bridge is 73.7 feet

7 0

4 years ago

Lupita brought seven pounds of pretzels at a local wholesaler for 16.80 her friend Charles about 5 pounds of pretzels at the sup

Mashutka [201]

Answer:

Step-by-step explanation:

Lupita brought seven pounds of pretzels at a local wholesaler for 16.80. This means that the rate at which she bought one pound of pretzel at the local wholesaler would be

16.80 / 7 = $2.4 per pounds of pretzels

Her friend, Charles about 5 pounds of pretzels at the supermarket 12.75. This means that the rate at which Charles bought one pound of pretzel at the supermarket would be

12.75 / 5 = $2.55 per pounds of pretzels

Charles's reasoning is wrong because the rate at which he bought one pound of pretzel is higher than that of Lupita's

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3 years ago

candy bars have increased in price by 8% in recent years. if today’s price is approximately $1.60, how much was the original pri

igor_vitrenko [27]

Answer:

$1.50

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A particular model rocket kit uses the scale 1:144. The actual rocket is 168 ft tall. How tall will the model rocket be when com

zlopas [31]

Answer:

1.16ft tall.

Step-by-step explanation:

168/144= 1.16 ft tall

or rounded to the nearest number = 1.20 ft.

7 0

3 years ago

Is w^2-9w+81 a trinomial square

Yuri [45]

No because it would be
if you knew that
ax^2+bx+c was a trinomial square, then the factored form would be
$( \sqrt{a}x+ \sqrt{c})^{2}$ or $( \sqrt{a}x- \sqrt{c})^{2}$
so
if w^2-9w+81 is perfect square, factored form is either
$( \sqrt{1}x+ \sqrt{81})^{2}$ or $( \sqrt{1}x- \sqrt{81})^{2}$ aka $( x+9)^{2}$ or $( x-9)^{2}$
expand them
(x+9)^2=x^2+18x+81, wron middle term

(x-9)^2=x^2-18x+81 wrong

so it is not

8 0

3 years ago