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3 years ago

I Need Help , Help Me Out Please !!!!

Mathematics

1 answer:

Dafna11 [192]3 years ago

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7x +2y = 24<br> 8x+2y= 30<br> What is x and y

Liula [17]

Answer:

x = 6

y = -9

Step-by-step explanation:

we have:

7x +2y = 24 equation 1

8x+2y= 30 equation 2

using equation 2 we have:

8x = 30 -2y

x= $\frac{30-2y}{8}$ equation 3

using equation 3 in equation 1 we have:

7( $\frac{30-2y}{8}$ )+2y = 24

$\frac{210}{8} - \frac{14y}{8} +2y =24\\\\\frac{1}{4}y = -\frac{18}{8} \\\\y=-\frac{18}{8} * 4\\\\y=-9$

so we have:

x= $\frac{30-2(-9)}{8}$

x= $\frac{30+18}{8}$

x=6

7 0

3 years ago

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To find the height of a pole, a surveyor moves 160 feet away from the base of the pole and then, with a transit 6 feet tall, mea

Artyom0805 [142]

Answer:

306.8 feet

Step-by-step explanation:

Refer the attached figure .

A surveyor moves 160 feet away from the base of the pole i.e. ED = 160 m

Referring the image .

AC=ED=160 m

A transit i.e. AE is 6 feet tall.

AE = CD=6 feet

With a transmit the angle of elevation to the top of the pole to be 62° i.e. ∠BAC = 62°

To Find BC , use tigonometric ratio.

$Tan\theta = \frac{Perpendicular}{Base}$

$Tan 62^{\circ}=\frac{BC}{AC}$

$Tan 62^{\circ}=\frac{BC}{160}$

$1.88*160=BC$

$300.8=BC$

Now, the height of the pole = BC+CD =300.8+6=306.8 feet

Hence the height of the pole is 306.8 feet

7 0

3 years ago

What is the formula for the distance between a line and a point on a graph?

erma4kov [3.2K]

The length of the new line, between the given point and the newly-found intersection point, is the distance between the point and the original line. To find the distance, subtract the x and y values to get the x and y displacements. Therefore, there is no specific equation!

7 0

3 years ago

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Felipe has a job transporting soft drinks by truck. his truck is filled with cans that weigh 14 ounces each and bottles that wei

Ray Of Light [21]

Hello,

Let x be the number of 14-ounce cans

800-x be the number of bottles

Total weight=14*x+70*(800-x)=14x+56000-70x=56000-56x=56(1000-x)

5 0

3 years ago

A triangle with an area of 23 cm² is dilated by a factor of 6. What is the area of the dilated triangle? Enter your answer in th

Marizza181 [45]

Given that:
Area of triangle=23 cm²
Dilation factor= 6
It means that the area of the dilated triangle is 6²=36 times of the original.
Now area of dilated triangle, A'=36 x 23
A'= 828 cm²

Answer: Area of dilated triangle is 828 cm².

7 0

3 years ago

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