Every 3 Days Marco fills up his car with gas. Every 3 Days he washes his car. On what day will Marco fill his car and wash it.

The sum of a number times 8 and 21 is less than -16.

vodka [1.7K]

Hello.

First of all, let the number be t.

8 times t can be written like this:

$\mathrm{8t}$

Notice that the number is before the variable and the times sign (×) is not there.

We can write it as 8×t, but we usually write it as 8t.

The sum of means we add:

8t+21

Now, "less than" is "<" :

$\mathrm{8t+21 < -16}$

Therefore, the answer is

$\mathrm{8t+21 < -16}$

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$

7 0

2 years ago

In triangle ABC, and C is a right angle. Find the value of the trig function find the sec(A) if C=25, B=20, A=15

asambeis [7]

Answer:

sec A = 5/4

Step-by-step explanation:

Sec of an angle is hypotenuse/adjacent side

In your problem, sec A = 25/20 = 5/4

It helps if you can draw a figure of the problem. Make sure you memorize the definition of each trig function

5 0

3 years ago

Which point is collinear with points a and d

Art [367]

B. (6, -8)

First, you need to figure out the slope of the line

(y1 - y2) / (x1 - x2)

After substituting points D(-3, 4) A(3, -4)

[4 - (-4)] / (-3 - 3)
(8) / (-6)

The slope of the line is -8/6 or -4/3 simplified

Then you can put it in point slope form:

(y - y1) = m(x - x1)

(y - y1) = -4/3(x - x1)

The point that I am using for point slope form is A(3, -4)

[y - (-4)] = -4/3(x - 3)
y + 4 = -4/3(x - 3)

Next you have to simplify the equation so that y is isolated

y + 4 = -4/3(x - 3)

First distribute the -4/3

y + 4 = -4/3(x) + (-4/3)(-3)
y + 4 = -4/3x + 4

Subtract 4 on both sides
y + 4 - 4 = -4/3x + 4 - 4
y = -4/3x

Now that you have y = -4/3x, you can substitute the values until one of them makes the equation equal

For example) (6, -8)
-8 = -4/3(6)
-8 = -8

So since (6, -8) fits in the slope intercept equation, it must me collinear with points A and D

~~hope this helps~~

6 0

3 years ago

Match the expressions given in words with their values when m=6.

Gemiola [76]

Answer:

Value of expression 1 = 3

Value of expression 2 = 42

Value of expression 3 = 15

Value of expression 4 = 2

Step-by-step explanation:

Expression 1 : the sum of m and 3 divided by the difference of m minus 3

Expression 1 $: \frac{m+3}{m-3}$

Substitute m = 6

So, value of expression 1= $\frac{6+3}{6-3}=3$

Expression 2 : the sum of 3 times m and 4 times m

Expression 2: 3m+4m

Substitute m = 6

So, value of expression 2=3m+4m=3(6)+4(6)=42

Expression 3 : the difference of the product of 3 and m minus the quotient of m divided by 2

Expression 3: $3m-\frac{m}{2}$

Substitute m = 6

So, value of expression 2= $3m-\frac{m}{2}=3(6)-\frac{6}{2}=15$

Expression 4 :the quotient of 6 divided by the difference of m minus 3

Expression 4: $\frac{6}{m-3}$

Substitute m = 6

So, value of expression 4= $\frac{6}{m-3}=\frac{6}{6-3}=2$

4 0

3 years ago

Help please, finals week is upon me

kenny6666 [7]

The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.

Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.

The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.

The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)

If point D is the circumcenter, then we know this

AD = BD = CD

basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.

<h3>Answer: (2.5, -3.5)</h3>

note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2

6 0

3 years ago