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2 years ago

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

Mathematics

1 answer:

maksim [4K]2 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.

You might be interested in

What Is The Length Of Side BD?

emmainna [20.7K]

This is a rectangle, meaning that all angles are right angles and all sides opposite to one another have equal length.

Since the length of CD is 24, the length of AB must also be 24.
Angle B is a right angle because this is a rectangle.

See anything? I'll you a hint. We have a right triangle with only one missing value.

What do we use to solve for missing lengths in a right triangle? The Pythagorean theorem, of course!

$a^2+b^2=c^2$

The length of c (the hypotenuse) is 26.
The length of a (one leg) is 24.
The length of b is unknown and we want to find it.

$24^2+b^2=26^2$

$576+b^2=676$

Subtract 576 by both sides.

$b^2=100$

Take square root of both sides.

$b=10$

The length of the missing leg is 10, meaning that the length of BD is 10.

This is what you should be needing. Enjoy!

8 0

3 years ago

Harold Wagner pays a $325.00 premium annually. This represents 40% of the total premium. The rest of the premium is paid by his

tigry1 [53]

Answer:

a). The company's percentage=60%

b). The total premium=$812.50

c). The company's payment=$487.50

Step-by-step explanation:

a).

The total premium can be expressed as;

T=H+R

where;

T=proportion of total premium

H=proportion paid by Harold Wagner

R=remaining proportion

In our case;

T=100%

H=40%

R=r

replacing;

100%=40%+r

r=100%-40%

r=60%

The company's percentage=60%

b).

The total premium, if 40%=$325.00

Let total premium be=t

40% of t=325

(40/100)×t=325

0.4 t=325

t=325/0.4

t=$812.50

The total premium=$812.50

c).

The company's payment=60% of total premium

The company's payment=(60/100)×812.5

The company's payment=$487.50

5 0

3 years ago

Order these numbers in ascending order. -11/3, 90%, 89/4, 2

Delicious77 [7]

Answer:

$- \frac{11}{3} \: \: » \: \: 90\% \: » \: \: 2 \: \: » \: \: \frac{89}{4}$

5 0

2 years ago

2 Antonio is a set designer. He is gluing ribbon on 4 square and 2 triangular posters to be used as stage props in an upcoming p

Lana71 [14]

Answer:

89283

Step-by-step explanation:

8 0

2 years ago

What is the area of the figure shown?

musickatia [10]

Check the picture below.

now, we're making an assumption that, the two blue shaded region are equal in shape, and thus if that's so, that area above the 14 is 6 and below it is also 6, 14 + 6 + 6 = 26.

so hmm if we simply get the area of the trapezoid and subtract the area of the yellow triangle and the area of the cyan triangle, what's leftover is what we didn't subtract, namely the shaded region.

$\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}$

8 0

1 year ago