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3 years ago

Find the variable x in the figure if AB ll CD ll EF where c and d are the midpoints of AE and BF.

Mathematics

1 answer:

dangina [55]3 years ago

5 0

CD is called the middle base and is equal to :(AB + EF)/2

CD = <span>(AB + EF)/2

4x = [(x</span>²+10) + (8-x)]/2

8x = x²+10+8-x

8x= x²-x+18
x²-9x+18 = 0

x' = [-b+√(b²-4.a.c)]/2a & x" = [-b-√(b<span>²-4.a.c)]/2a

x'= 6 and x" = 3, So we have2 values of x</span>

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Use the given parent function f(x)=|x| to graph g(x)=|x+2|-4. use the ray tool and select two points to graph each ray.

marin [14]

Shown in the attached figure

<h2>Explanation:</h2>

The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:

$f(x)=\mid x \mid$

So we need to use this function in order to obtain:

$g(x)=\mid x+2 \mid -4$

Recall that to translate a function vertically, we use the following rule:

$g(x)=f(x)+k \\ \\ \bullet \ If \ k>0 \ the \ graph \ of \ f(x) \ is \ translated \ k \ units \ up \\ \\ \bullet \ If \ k$

And to translate a function horizontally, we use the following rule:

$g(x)=f(x+c) \\ \\ \bullet \ If \ c>0 \ the \ graph \ of \ f(x) \ is \ translated \ c \ units \ to \ the \ left \\ \\ \bullet \ If \ c$

Since:

$c=2>0 \ and \ k=-4$

Then:

<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>

<em />

<h2>Learn more:</h2>

Transformations in real-world problems: brainly.com/question/1033817

#LearnWithBrainly

8 0

3 years ago

What is the answer to Q=1/2p+15, for p

Mazyrski [523]

Answer: Q=1/2p+15,= p=2q-30= Slope = 1.000/2.000 = 0.500

p-intercept = -30/1 = -30.00000

q-intercept = 30/2 = 15

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

p-(2*q-30)=0

Solve p-2q+30 = 0

we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line p-2q+30 = 0 and calculate its properties

Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000

q-intercept = 30/2 = 15

When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000

p-intercept = -30/1 = -30.00000

Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 1.000/2.000 = 0.500

7 0

3 years ago

What shape is this?<br> A.cylinder<br> B.square<br> C.rectangle<br> D.tetrahedron

Mice21 [21]

Thats a rectangle .........

6 0

3 years ago

a store is selling uniform shirts for 18.95 each. if samuel has a coupon for 1/4 off the price, how much would he pay for the sh

balandron [24]

First take the original price and multiple by 1/4 or .25. You should get 4.73 then you subtract that from 18.95 and your answer is 14.22

5 0