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2 years ago

Select the correct answer. Which point is a solution of x + 2y ≤ 4? A. (2, 4) B. (1, 1) C. (3, 5) D. (-1, 5)

Mathematics

1 answer:

stira [4]2 years ago

6 0

Answer:

Step-by-step explanation:

Of you put the values of c and y from B in the equation, then the result is,

$1 + 2 \times 1 \leqslant 4 \\ 1 + 2 \leqslant 4 \\ 3 \leqslant 4$

here, 3 is less than 4, which is true.

But the result will come out as greater than 4 if you put other points in the equation, which is not true for the given condition.

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Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i

rewona [7]

Answer:

slope = $\frac{3}{7}$ and - $\frac{7}{3}$ , perpendicular

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = $\frac{3}{7}$ x + 11 is in this form with m = $\frac{3}{7}$

Rearrange 7x + 3y = 13 into this form

subtract 7x from both sides

3y = - 7x + 13 ( divide all terms by 3 )

y = - $\frac{7}{3}$ x + $\frac{13}{3}$ ← in slope- intercept form

with m = - $\frac{7}{3}$

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

The lines are not parallel since slopes are not equal

$\frac{3}{7}$ × - $\frac{7}{3}$ = - 1

Hence lines are perpendicular

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2 years ago

Write 3.25 as a mixed number in simplest form.

snow_tiger [21]

3.25 can be re-written as;
=3+0.25
Converting the decimal to a fraction gives;
3+ $\frac{25}{100}$
=Simplify the fraction;
3+ $\frac{1}{4}$
The final answer is;
3 $\frac{1}{4}$

4 0

2 years ago

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Kirby is four miles from the train station, from which a train is due to leave in 56 minutes. Kirby is walking along at 3 mph, a

Luda [366]

Let's assume that Kirby walks with a speed
$v_1 = 3 mph$
for a time $t_1$ , and that he runs with a speed
$v_2 = 12 mph$
for a time $t_2$ .

The total time available for Kirby to catch the train is:
$t=56 min = 0.93 h$
and this must be equal to the sum of the two times t1 and t2:
$0.93 = t_1 + t_2$

The distance Kirby should cover is
$S=4 m$
and this should be equal to the sum of the distances covered by walking and by running:
$4 = S_1 + S_2 = v_1 t_1 + v_2 t_2 = 3 t_1 + 12 t_2$

So we have a system of 2 equations:
$0.93 = t_1 + t_2$
$4 = 3 t_1 + 12 t_2$

If we solve the system, we find:
$t_1 = 0.80 h = 48 min$
$t_2 = 0.13 h = 8 min$

So, Kirby needs to run at least for 8 minutes in order to catch the train.

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2 years ago

G-10+7g=15+3g I keep reworking it and I keep getting the wrong answer, please help

Ludmilka [50]

First you need to combine like terms the get all numbers and leters to one side then divide to get g alone so your left with G=5

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2 years ago

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Select the correct answer from the drop-down menu.

Amiraneli [1.4K]

C (mb) 91/323.............

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3 years ago