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
Oksanka [162]
3 years ago
15

ABC is an isosceles AB= 3x-4 and BC= 5x-10 what is AB?

Mathematics
2 answers:
Kitty [74]3 years ago
8 0
AB = 5
3x-4=5x-10
-3. -3
-4 = 2x -10
+10. +10
6 = 2x (divide by 2 on both sides)
X = 3

AB = 3x-4
3(3)-4 ( substitute for x)
9 - 4
= 5
kakasveta [241]3 years ago
3 0
3x-4=5x-10
Subtract 3x from both sides
-4=2x-10
Add 10 to both sides
6= 2x
X= 3
3 times 3-4
AB=5
You might be interested in
Evaluate the expression when, m=-2<br><br> m²-6m-5<br><br> (Thank you for your help!)
Darina [25.2K]

Answer:

11

Step-by-step explanation:

m=-2\\m^2-6m-5\\=(-2)^2-6(-2)-5\\=4-(-12)-5\\=4+12-5\\=16-5\\=11

7 0
3 years ago
The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu
rjkz [21]

The balloon has a volume V dependent on its radius r:

V(r)=\dfrac43\pi r^3

Differentiating with respect to time t gives

\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}

The surface area of the balloon is

S(r)=4\pi r^2

and differentiating gives

\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}

so that at the moment the radius is 3 m, its area is increasing at a rate of

\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}

4 0
3 years ago
Can someone help me on this
balandron [24]

Answer:

7

Step-by-step explanation:

→ Substitute x = -1 into - 5x + 2

-5 × -1 = 5

5 + 2 = 7

6 0
3 years ago
A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6
Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

           Length of street light AB = 25 ft

           Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate (\frac{dw}{dt}) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, \frac{dx}{dt}=6 feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

\frac{x}{21}=\frac{x+y}{25}

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = \frac{4x}{21}

Now we take the derivative on both the sides,

\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}

= \frac{4}{21}\times 6

= \frac{8}{7}

≈ 1.14 ft per sec.

Since w = x + y

Therefore, \frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}

\frac{dw}{dt}=6+1.14

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0
3 years ago
kyle has 105 baseball cards and must give 2/5 of his cards away. how many cards will kyle give away? what fraction of his cards
adelina 88 [10]
He has 3/5 of his cards left because he had 62/105 of his cards and that simplified is 3/5
6 0
4 years ago
Other questions:
  • Find the value of x and y.<br>I haven't learned this yet and I really need help ​
    11·1 answer
  • Nevermind. i got the answerrrrrrrr
    11·1 answer
  • WILL GIVE BRAINLIEST <br> 20 POINTS
    7·2 answers
  • Can somebody explain this to me when 2du = 16xdx ???
    15·1 answer
  • Given L (-4,3) and M (-7,-2) what is the length of LM?
    11·1 answer
  • Please Help Giving Brainliest!!!!! (05.06)Which net matches the solid figure shown below? A three-dimensional cube with a height
    10·1 answer
  • Which sentence type is used the most in this student's passage? compound
    13·2 answers
  • A small town is electing a new town council member. They decide to poll three random samples of registered voters to get an idea
    8·1 answer
  • Word Problem:
    6·2 answers
  • ASAP! 20 Points!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!