What is the solution to the system of equations? y=3x+1 y=-2x-4

Answer:

[tex]\huge\boxed{s=17}[/tex]

Step-by-step explanation:

ΔADB is the right triangle with a right angle in vertex B. We can use the Pythagorean theorem.

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have:

[tex]leg=15\\leg=8\\hypotenuse=s[/tex]

Substitute:

[tex]s^2=15^2+8^2\\\\s^2=225+64\\\\s^2=289\Rightarrow s=\sqrt{289}\\\\s=17[/tex]

Answer:

- 0.25

Step-by-step explanation:

Sine -1/4 is a fraction, you can think of it as quarters in this case. there are 4 quarters in a dollar. 1/4 = 25/100.  

Answer:

m,4+ a+b

Step-by-step explanation:

an exterior angle equals the sum of the 2 opposite interior angles

Answer:

x = 13.75

Step-by-step explanation:

a right-angled triangle.

so, we use Pythagoras

c² = a² + b²

where c is the Hypotenuse (the side opposite of the 90 degree angle).

so, in our case

17² = 10² + x²

289 = 100 + x²

189 = x²

x = 13.75

Answer:

12 miles

Step-by-step explanation:

1/3 of an hour = 20 minutes = 4 miles

1 minute = 4/20 miles

60 minutes = 4/20 x 60 miles

                   = 4 x 3 miles

                   = 12 miles

60 minutes = 1 hour

=> 1 hour = 12 miles

Jacks unit rate is 12 miles/hr

Answer:

12

Step-by-step explanation:

There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round

4/0.333333333 = 12.000000001

The answer is obviously meant to be 12.

The other way is more sophisticated, but more accurate.

4/1 // 1/3               This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.

4/1 * 3/1 = 12

The first method is easier to understand. The second is more accurate and more useful for physics.

s(x) is continuous and has a horizontal asymptote at y = -9

We know that we have a function r(x) that has a horizontal asymptote at y = -8

Then, what can we say about the function s(x) = r(x + 2) - 1 ?

Ok, first remember that a horizontal asymptote means that as x, the variable, increases (or decreases), the function eventually tends to a given value, but never actually reaches it.

So as x tends to infinity, we should see an almost horizontal line that tends to y = -8.

So if that happens when x tends to infinity, the same thing will happen when x + 2 tends to infinity, because that "+2" does not add a lot.

Then is easy to conclude that:

r(x + 2) also has a horizontal asymptote at y = -8

And our function is:

s(x) = r(x + 2) - 1

So we are subtracting one, then that horizontal asymptote will be at:

y = -8 - 1 = -9

The function s(x) has a horizontal asymptote at y = -9

And because r(x) is continuous, then:

s(x) = r(x + 2) - 1

is also continuos, as there is nothing added that could change the continuity (we do not have any zero in the denominator or something like that)

Then the correct option is D.

"s(x) is continuous and has a horizontal asymptote at y = -9"

If you want to read more, you can see:

https://brainly.com/question/4084552

Answer: A

Step-by-step explanation:

(22)(21)=(14)(33)

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

I get no solution also (the answer is imaginary).

Answer:

5

Step-by-step explanation:

the absolute value of a number is its distance from zero on a number line. so the absolute value of 5 is 5.

Answer:

Zoe was 32 years old, which was 4 years ago.

Step-by-step explanation:

When Zoe was 36 years old, her daughter was 1/3 her age, or 12 years old. Therefore, the difference in ages is 24 years.

So, our equation becomes:

4(Z-24) = Z

4Z - 96 = Z

3Z = 96

Z = 32

Assuming Zoe is 36 years old right now, our answer is 4 years ago.

Hope this helped,

~cloud

Since the daughter is 1/3 Zoe's age, she must be 12 since 1/3 of 36 is 12.

Then make a chart like I have done in the image attached.

Since the problem says "how many years ago", we use

our x years ago column in our chart to setup the equation.

If you need any additional help or are confused on a step, let me know!

Let n be the smallest of the three numbers. Then

n + (n + 1) + (n + 2) = 5 ((n + 1) - 22)

Solve for n :

3n + 3 = 5 (n - 21)

3n + 3 = 5n - 105

2n = 108

n = 54

Then the three numbers are 54, 55, and 56.

Answer:

(Sqrt 3)/2 (5^2) (10) =216.51 in^3

Step-by-step explanation:

Answer:

-7/5

Step-by-step explanation:

I think let me know

Answer:

7/-5  or -7/5

Step-by-step explanation:

This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)

We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula

(3,4).     (8,-3)

x1,y1     x2,y2

Slope Formula:

y1 - y2

x1 - x2

Inputting the values:

4 - (-3)

3 - 8

Solve:

7

-5

The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions

Answer:

E.  [tex]\sqrt{39}[/tex]

Step-by-step explanation:

To find the value of x we can use Euclidian theorem

x^2 = 13x3

x^2 = 39 find the root of both sides

x = [tex]\sqrt{39}[/tex]

Answer:

9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.

Step-by-step explanation:

Step-by-step explanation:

fng-mrxb-dop p.l.e.a.s.e join

Answer:

Amount cubic metres of gravel need = 1.5 cubic meter

Step-by-step explanation:

Given:

Parts

cement = 1 part

sand = 2 parts

gravel = 3 parts

Find:

Amount cubic metres of gravel need

Computation:

Amount cubic metres of gravel need = 3[Part of gravel / Total of all parts]

Amount cubic metres of gravel need = 3[3 / (1+2+3)]

Amount cubic metres of gravel need = 3[3 / 6]

Amount cubic metres of gravel need = 3[0.5]

Amount cubic metres of gravel need = 1.5 cubic meter

Answer:

35.2

Step-by-step explanation:

tan(58) = x/22

or, x = 22×tan(58)

or, x = 35.2 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

The system has one solution,

Both lines have the same y-intercept,

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Answer:

The 2nd one is 3x+1

The 3rd answer is x+3

Step-by-step explanation:

Given g(x)=4x-1 and f(x)=x-2

Subtracting both

4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1

The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3

Answer:

8

Step-by-step explanation:

The maximum area will be a square. Everything else will have a height less than one of the sides of the square.

Use Pythagoras to find the length of the side of the square.

s^2 = 2^2 + 2^2

s^2 = 8

s = 2sqrt(2)

s^2 = 8

the square will have 8 cm^2

Answer:

false

Step-by-step explanation:

If it was at least 2, it would show x>= 2 which includes 2. However, that question doesn't include 2 so if it is true, it would have said "X is greater than 2"

Answer: False

Step-by-step explanation:  When x is at least 2, x would be greater than or equal to 2.  X cannot be less than 2.  So, it should be x >= 2.

Hope this helped.

Answer:

B. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side

Step-by-step explanation:

The orthocenter of a triangle is the point of concurrency of the three altitudes or extensions of the the altitudes of a triangle, each of which are perpendicular lines drawn from a vertex of the triangle to the side opposite the vertex

The type of concurrent construction needed to find the orthocenter of a triangle is the point of intersection of the perpendicular lines drawn from each vertex of the triangle, to the side opposite the vertex

Therefore, the correct option is option B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side.

Answer:

1st,2nd,3rd, and 5th option

Step-by-step explanation:

Let convert the intergers into radical numbers

[tex] \sqrt{7} > \sqrt{4} [/tex]

[tex] \sqrt{7} < \sqrt{49} [/tex]

[tex] \sqrt{7} < \sqrt{8} [/tex]

[tex] \sqrt{8 } < \sqrt{4} [/tex]

[tex] \sqrt{8} < \sqrt{64} [/tex]

As radical numbers approaches, positive infinity, the answer of the radical gets bigger. So using this explanation,

The first option, Second Option, Third Option, and Fifth Option are true.

Answer:

A, B, C, E

Step-by-step explanation:

Did on edg.  its right

Answer:

f(x) = 3.33x - 7

Step-by-step explanation:

We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,

[tex]\rm\implies y = mx + c [/tex]

where ,

Here we can see that the line is passing through (0,-7) . Therefore ,

[tex]\rm\implies y- intercept = -7[/tex]

Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,

[tex]\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 [/tex]

Using Slope Intercept Form :-

[tex]\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}[/tex]

Answer:

Step-by-step explanation:

For this question they are asking you to find y when x is {2, 4, and 6}

That means you need to plug 2,4, and 6 into the equation and solve.

For example:

f(x) = 5x - 4

f(2) = 5(2) - 4

f(2) = 10 - 4

f(2) = 6

f(x) = 5x - 4

f(4) = 5(4) -4

f(4) = 20 - 4

f(4) = 16

f(x) = 5x - 4

f(6) = 5(6) - 4

f(6) = 30 - 4

f(6) = 26

Answer:

6,16,26 is the answer

Step-by-step explanation:

Answer:

6x+6y-5 distributive property

Step-by-step explanation:

6(x+y)-5

Distribute using the distributive property

6x+6y-5

Answer:

the second option : 5 1/3

Step-by-step explanation:

the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a

h = 4

the formula is h = sqrt(a×b)

with a and b being the baseline segments.

so,

4 = sqrt(3×a)

16 = 3×a

a = 16/3 = 5 1/3