1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vanyuwa [196]
4 years ago
5

If ED = 10 and DB = 3x-8, what is the length of EB 1. 32 2. 22 3. 10 4. 20

Mathematics
2 answers:
alukav5142 [94]4 years ago
7 0
Answer:
EB = 20 units

Explanation:
This question can be solved using two methods:
Method #1:
From the image, we can note that D is the midpoint of EB, therefore, ED = DB
This means that:
EB = 2*10 = 20 units

Method #2:
From the image, we know that ED = DB
We are given that ED = 10 units
Therefore:
DB = 3x - 8 = 10
3x = 18
x = 6
DB = 3(6) - 8 = 18 - 8 = 10 units
EB = EB + DB = 10 + 10 = 20 units

Hope this helps :)
Debora [2.8K]4 years ago
4 0
Based on the picture, we know that ED is equal to DB. Therefore:

2 times ED=EB
2(10)=20

EB is 20
You might be interested in
Standard form 400,000 + 50,000 + 4,000 + 800 + 5
wlad13 [49]

Answer:

454,805

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A seamstress is making a decorative pillow and wants to cover both sides of the pillow with special fabric. The pillow is
Cloud [144]

The three points form a right triangle with legs length 3in and 4in. So, the area is

\dfrac{3\cdot 4}{2}=6

So, both sides of the pillow will require 12 squared inches.

6 0
3 years ago
What fraction is closest to zero? 3/4, 1/3, -3/6, -5/8
o-na [289]

Answer:

1/3 is closest to zero.

Step-by-step explanation:

1/3 is closest to zero.

7 0
3 years ago
Find the domain and range of f(x). Please explain your answer.<br> f(x) = √(x^2+5x+6)
timama [110]

Answer:

Domain:— [ x ≥ -2, x ≤ -3 ]

Range:— [ y ≥ 0 ]

Step-by-step explanation:

You may use graphing calculator to draw a graph and examine the graph’s domain and range. However, I’ll explain further about the graph of quadratic in a surd.

First, factor the quadratic expression in the surd:—

\displaystyle \large{f(x)=\sqrt{(x+3)(x+2)}}

We can find the x-intercepts by letting f(x) = 0.

I’ll be separating in two parts — one for finding x-intercept and one for finding y-intercept.

__________________________________________________________

Finding x-intercepts

Let f(x) = 0.

\displaystyle \large{0=\sqrt{(x+3)(x+2)}}

Solve for x, square both sides:—

\displaystyle \large{0^2 = (\sqrt{(x+3)(x+2)})^2}\\\displaystyle \large{0=(x+3)(x+2)}

Simply solve a quadratic equation:—

\displaystyle \large{x=-3,-2}

Therefore, x-intercepts are:—

\displaystyle \large{\boxed{x=-3,-2}}

__________________________________________________________

Finding y-intercept

Let x = 0.

\displaystyle \large{f(x)=\sqrt{(0+3)(0+2)}}\\\displaystyle \large{f(x)=\sqrt{3 \cdot 2}}\\\displaystyle \large{f(x)=\sqrt{6}}

Therefore, y-intercept is:—

\displaystyle \large{\boxed{\sqrt{6}}}

__________________________________________________________

However, I want you to focus on x-intercepts instead. We know that the square root only gives you a positive value. That means the range of function can only be y ≥ 0.

For domain, first, we have to know how or what the graph looks like. You can input the function in a graphing calculator as you’ll see that when x ≥ -2, the graph heads to the right while/when x ≤ -3, the graph heads to the left. This means that the lesser value of x-intercept gets left and more value get right.

See, between -3 < x < -2, there is no curve, point or anything between the interval. Therefore, -3 < x < -2 does not exist in function.

Hence, the domain is:—

x ≥ -2, x ≤ -3

4 0
2 years ago
Answers for number 32 and 31
Nana76 [90]

Answer:

32: X=54

31: Xx54+74

3 0
2 years ago
Other questions:
  • When Alice went to the print shop, she was confronted with many choices of sizes: 7-inch by 9-inch, 8-inch by 10-inch, and 12-in
    11·1 answer
  • It's important to re-evaluate financial goals periodically. In which of the following situations would it be necessary to change
    15·2 answers
  • Use co.patible numbers to find two estimates 73÷4,858
    13·1 answer
  • Simplify 4/7 divided by 3/-8
    10·2 answers
  • What is the product of 50x 0.08
    6·2 answers
  • Andy's phone plan charges $0.45 per text messages plus $2.25 a day. Jeff's plan charges $0.20 a text plus an additional $3.50 a
    14·1 answer
  • Which is the definition of a line segment?
    9·2 answers
  • I need help with this please help its confusing me.
    8·1 answer
  • Solve the equation 3u+6=22
    10·1 answer
  • Can someone help me? Please answer in fraction! :D
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!