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3 years ago

Find the x intercept and the y intercept of the graph of the equation 2x+4y=8

Mathematics

1 answer:

maksim [4K]3 years ago

3 0

Answer:

x-intercept: 4

y-intercept: 2

Step-by-step explanation:

finding the x-intercept:

first, substitute y = 0.

2x + 4 x 0 = 8

then, remove the 0.

2x + 0 = 8

then, divide both sides. 2x = 8

so, x = 4.

finding the y-intercept:

first, substitute x = 0.

then, solve.

2 x 0 + 4y = 8

so, y = 2.

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Find the repayment $5000 loaned for 4 years at 6% interest p.a What is the total amount What will be the monthly repayments?

Stella [2.4K]

Answer: Monthly Repayment = $117.43

4 0

3 years ago

Julia is standing 2 feet away from a lamppost. If she casts a shadow of 5 feet and the light makes a 20° angle relative to the g

givi [52]

Answer:

2.5477 feet

Step-by-step explanation:

Refer the image attached to understand my solution.

BC = height of lamppost.

DE = Julia

AD = shadow of Julia

BD = 2 feet. AD = 5 feet

BA = BD + AD

= 2 + 5 = 7 feet

In ΔABC

tan 20° = $\frac{BC}{BA} = \frac{BC}{7}$

BC = 7 * tan 20°

BC = 2.5477 feet

SO the height of lamppost = 2.5477 feet

5 0

3 years ago

I need help on this problem. I got half of it right but I don’t know how I got the last answer wrong... Can anyone please help m

morpeh [17]

I got the same answer as you. Try to ask your teacher about it since it’s a math problem online or something.

8 0

3 years ago

A set of twins, Andrea and Courtney, are initially 10 years old. While Courtney remains on Earth, Andrea rides on a spaceship th

SVETLANKA909090 [29]

The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

<h3>How can Andrea's new age be calculated?</h3>

The time dilation using the Lorentz transformation formula is presented as follows;

$t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } }$

From the question, we have;

The spaceship's speed, <em>v</em> = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

$\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8$

The time that elapses as measured by Andrea = 8 years

Andrea's age, <em>A</em>, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

Learn more about the Lorentz transformation formula here:

brainly.com/question/15544452

#SPJ1

3 0

2 years ago

A lawn sprinkler sprays water 4 feet in all direction as it rotates.

Ber [7]

Answer:

50.24 ft^2

Step-by-step explanation:

The radius of the circle in which the lawn sprinkler sprays water is 4 feet.

The formula to find the area of a circle is $\pi r^2$ , where r = radius and π, in this case, is 3.14.

3.14 × 4^2
3.14 × 16
50.24 ft^2

Therefore, the answer is 50.24 ft².

5 0

2 years ago