Suppose that LMN is isosceles with base LN suppose that M

Given:

g(x) vertical shift of [tex]f(x)=-x[/tex] up 3 units followed by a vertical stretch by a factor of 4.

To find:

The rule for g(x).

Solution:

We have,

[tex]f(x)=-x[/tex]

This function shifts 3 units up. So,

[tex]f(x)+3=-x+3[/tex]

This function vertical stretch by a factor of 4. So,

[tex]g(x)=4(f(x)+3)[/tex]

[tex]g(x)=4(-x+3)[/tex]

[tex]g(x)=-4x+12[/tex]

Therefore, the rule for g(x) is [tex]g(x)=-4x+12[/tex].

Answer:

Step-by-step explanation:

13x-4 = 8x+11

13x-4 = 8x+11

-8x       -8x

5x-4=11

+4    +4

5x=15

/5   /5

x=3

Plug it in...

13(3) -4

39-4

=35

The value of AD is: AD = 35.

Here, we have,

from the given figure, we get,

both the triangles are similar to each other.

so, we have,

AD = DC

i.e.

13x-4 = 8x+11

To solve the equation 13x - 4 = 8x + 11, we need to isolate the variable x on one side of the equation.

Here are the steps:

Start by moving the terms with x to one side of the equation.

We can do this by subtracting 8x from both sides:

13x - 8x - 4 = 8x - 8x + 11

Simplifying the left side:

5x - 4 = 11

Next, move the constant term (-4) to the other side by adding 4 to both sides of the equation:

5x - 4 + 4 = 11 + 4

Simplifying:

5x = 15

To isolate x, divide both sides of the equation by the coefficient of x, which is 5:

(5x)/5 = 15/5

Simplifying:

x = 3

Therefore, the solution to the equation 13x - 4 = 8x + 11 is x = 3.

so, we get, x = 3

Plug it in AD, we have,

13(3) -4

=39-4

=35

Hence, The value of AD is: AD = 35.

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Answer:

Therefore, the side lengths 10, 14, and 15 form a triangle.

Step-by-step explanation:

The Triangle Inequality Theorem defines that if we are given the three sides of a triangle, then the sum of any 2 sides of a triangle must be greater than the measure of the third side of the triangle.

The three conditions that need to be met for any triangle with the side lengths A, B, and C.

[tex]A + B > C[/tex]

[tex]B + C > A[/tex]

[tex]A + C > B[/tex]

Given the side lengths of a triangle

Let us check whether it satisfies the three conditions.

10+15 > 14     →  TRUE

10+14 > 15     →  TRUE

14+15 > 10    →  TRUE

As all the conditions are met. Therefore, the side lengths 10, 14, and 15 form a triangle.

Answer:

G. 477.75

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

When in doubt choose D

Answer:

D

Step-by-step explanation:

The other dude is wrong, you have to plug in the domain to find the range.

Answer:

1: corresponding

2: supplementary

3: complementary

4: vertical

Step-by-step explanation:

Answer:

1: corresponding

2: supplementary

3: complementary

4: vertical

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Give the line of best fit :

y = 1.62x + 18 ; where ;

y = wait time ; x = number of staffs available

If slope of the line is -1.62.

The slope of linear graph represents the ratio of change in the y variable and the x variable. With a slope value of - 1.62, the rate of change is negative and thus an increase in x will lead to a decrease in y. This means that for every unit increase in the number of staffs, the wait time reduces at a rate of 1.62 per unit.

Answer:

[tex]4[/tex]

[tex]75.96^{\circ}[/tex]

Step-by-step explanation:

La función es

[tex]f(x)=x^2-8x+16[/tex]

La derivada de la ecuación nos da la tangente

[tex]f'(x)=2x-8[/tex]

El punto es [tex](6,4)[/tex]

Entonces en [tex]x=6[/tex]

[tex]f'(6)=2\times 6-8=4[/tex]

La pendiente de la tangente es [tex]4[/tex].

El ángulo de la pendiente está dado por

[tex]\tan\theta=m\\\Rightarrow \theta=\tan{-1}m\\\Rightarrow \theta=\tan^{-1}4\\\Rightarrow \theta=75.96^{\circ}[/tex]

El ángulo que forma la tangente con el eje x positivo es [tex]75.96^{\circ}[/tex]

Step-by-step explanation:

4x -24=-y

-24-4x=y

then do calculation

Answer:

infinite solutions

Step-by-step explanation:

substitute y in the first equation

4x+(-4x+24)=24

4x and -4x cancel out

24/24=1

or solve for x, you should also get 1

therefore, infinite solutions. you can also try using a graphing calculator

Answer:

G.

Step-by-step explanation:

It doesn't matter if you switch what is inside the parentheses, as long as you don't put it outside or switch around the equation.

(hope this helps!)

Answer:

Each of these courses will take up 1/8 of the total semester.

Step-by-step explanation:

From the question, we can see that the semester is remaining 3/4 of the total duration.

we will be sharing that 3/4 into 6 places for each course. Next, we will be relating this to the total time we had for the whole semester initially.

3/4 divided by 6 = 1/8

From this, we can see that each of these  courses will take up 1/8 of the total semester.

Answer:

for ac I got 11

ab i got 14

I'm not quite sure tho

but you could use SOH CAH TOA to find ab then use Pythagoras theorem to find AB

Answer:

AB = 11.6 inches

AC = 7.3 inches

m∠B = 39°

Step-by-step explanation:

To calculate side AB (c) put b (9 inches) over the sine of β (51°).

c = 9/sin(51)

The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle (the hypotenuse). This would be about 0.777.

c = 9/0.777

I recommend using a fraction here. 0.777 becomes 777/1000. Find the reciprocal (1000/777). Switch the sign to multiplication.

c = 9/1 * 1000/777

Cross cancel if needed.

c = 3/1 * 1000/259

Now multiply.

c = 3000/259

Divide 3000 by 259.

c ≈ 11.5830116 inches ≈ 11.6 inches

Now we know AB. To find AC, find the square root of AB² - BC².

AC = √(11.6² - 9²)

Square both 11.6 and 9.

AC = √(134.56 - 81)

Add 134.56 and 81 to get 53.56

AC = √53.56

Find the square root of 53.56

AC ≈ 7.31846979 ≈ 7.3 inches.

Finding the measure of angle B is comparatively simple. Subtract 51 from 90 to get 39° for angle B.

Answer:

= 7

Step-by-step explanation:

switch sides

v+5/3 =4

multiply both sides by 3

3(v+5)/3=4 times 3

simplify

v+5=12

subtract 5 from both sides

v+5-5=12-5

simplify

v=7

Answer:

1/4 yards was to make fishing knot

Step-by-step explanation:

Given that :

Yards of fishing line = 2/3

Fraction used to make fishing knot = 3/8

Amount of yards used to make fishing knot;

3/8 of the number of yards was used to make fishing knot.

(3/8) of 2/3)

(3/ 8) * (2 /3)

6 / 24

= 1 / 4 yards

Answer:

infinitely many solutions

Step-by-step explanation:

12t-5t=7t-7t=0=-4t=-4, 4+-4=0 so 0=0

Answer:

90 degree counter clockwise rotation.

Answer:

90 degree counter-clockwise rotation.

Answer:

The missing angle I believe is 25%.

Step-by-step explanation:

180-130=50

Divide 50 by 2 and it equals 25. 25 degrees for each angles.

Answer:25

Step-by-step explanation:

alright so the triangle theorem states that all of the angles of a triangle add up to 180. we already of 130 so we take away 130 from 180 to get 50. If you see the two little lines on the triangles sides opposite of the two angles that we are missing then you can tell by those lines that the angles opposite of them are equal to each other. So you divide 2 from 50 to get 25 which is the value of x. Hope you understand this (:

Answer:

x = -1

Step-by-step explanation:

you try to get x by itself in this case I devided x/2 and -2/2

The answer will be 1/10. First you will change the denominator to the same number because you can’t mutiply fractions if the denominator is different. 5x2=10 and 2x5=10. So both of the denominator will turn into a 10. Now you’ll have to find the numerator. For the first one, multiply it by 2 because that how much the number need to turn equalvilant for the denominator. 1x2=2. So now you know that the first fraction is 2/10. Then you multiply 1 with 5 which is 5. Now the numbers all have the same denominator. Multiply 2/10 and 5/10 which is 1/10.

Answer:

D.) 75 meters

Step-by-step explanation:

1 minute is 60 seconds

So, you divide 60 divided by 40=1.5

1.5 times 50=75

75 meters

D.)

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a nice day/night/afternoon!!!

The solution is, The geometric mean of 45 and 15​ is 25.98.

The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values.

here, we have,

We are given two numbers as 45 and 15​.

Formula for geometric mean is

G.M = √x₁ × ... × xₐ  

So, using this we get

⇒G.M = √45 × 15

⇒G.M = √675

⇒G.M = 25.98

Hence, the geometric mean of 45 and 15​ is 25.98.

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Answer:

B

Step-by-step explanation:

Answer:

-8/3

Step-by-step explanation:

7=3(5+X) = 3(5=X)=7 3(5+x) divided by 3 is 7/3 5+x=7/3 5+x-5=7/3 -5 so x=-8/3

Answer:

( E ) = 18x

Step-by-step explanation:

According to question,

2/3 ( E ) = 12x [ Here expression is ( E ) ]

2 ( E ) = 36x

( E ) = 36/2 x

( E ) = 18x

Hope it helps.......

Answer:

No solution

Step-by-step explanation:

(7)(3)+(7)(−x)=(−7)(x)+(−7)(3)+-4

21+−7x=−7x+−21+−4

−7x+21=(−7x)+(−21+−4)

−7x+21=−7x+−25

−7x+21=−7x−25

−7x+21+7x=−7x−25+7x

21=−25

21−21=−25−21

0=−46

Answer:

3a+33

Step-by-step explanation:

Add 2a+1 to a+32