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
Ann [662]
3 years ago
15

Please answer question three and four if you can :) Show full working out ty;)

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Step-by-step explanation:

3

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

D = ( \frac{2 + 5}{2},  \:  \:  \frac{ - 1 + 2}{2} ) = ( \frac{7}{2}, \:  \:  \frac{ 1}{2} ) \\ \therefore D= (3.5, \:  \: 0.5) \\  \& \: A=(-1,\:\:4)...(given) \\\\  now \: by \: distance \: formula \\  \\ Length  \: of \:  segment  \: AD \\  =  \sqrt{( - 1 - 3.5)^{2}  +  {(4 - 0.5)}^{2} }  \\ =  \sqrt{(4.5)^{2}  +  {(3.5)}^{2} }  \\ =  \sqrt{20.25 + 12.25 }  \\  =  \sqrt{32.5}  \\    \red{ \boxed{\therefore Length  \: of \:  segment  \: AD  = 5.7 \: units}}

4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

Let us substitute x = 4 & y = 7 on the Left hand side of equation of line AB and if it gives us 0, then C lies on the line.

LHS = 3x - y-5\\=3\times 4-7-5\\= 12-12\\=0\\= RHS

Hence, point C (4, 7) lie on the straight line AB.

4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

You might be interested in
(x) = 3x + 5?<br> domain and range
kherson [118]

Answer:

Domain is the values that x can take. In terms of real numbers x can take any value and the function will make sense. Since this is linear function the range is not limited too. So the range and domain coincide and are (-infinity;infinity)

4 0
3 years ago
Read 2 more answers
Expand and simplify pla
k0ka [10]
Y = f(3f - 4g + 3) +7g(3f - 4g + 3)
= 3f^2 - 4fg + 3f + 21fg - 28g^2 + 21g
= 3f^2 + 3f + 17fg + 21g - 28g^2
4 0
2 years ago
Solve the following equations.<br> √3 ⋅ 3^3x = 9
GREYUIT [131]

Answer:

The solution is x = 0.5

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

\sqrt{a} = a^{0.5}

So

\sqrt{3} = 3^{0.5}

And

9 = 3^{2}

This following property is also important:

\frac{a^{b}}{a^{c}} = a^{b-c}

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

\sqrt{3}.3^{3x} = 9

3^{0.5}.3^{3x} = 3^{2}

3^{3x} = \frac{3^{2}}{3^{0.5}}

3^{3x} = 3^{2-0.5}

3^{3x} = 3^{1.5}

This means that:

3x = 1.5

x = \frac{1.5}{3}

x = 0.5

5 0
3 years ago
Whats the value of v 69 = 7v – 6
Sergio039 [100]

Answer:

75/7

Step-by-step explanation:

69=7v-6 rewrite as 69+6=7v

75 = 7v

75/7 = v

7 0
3 years ago
Math question 30 points if you answer
mote1985 [20]

Answer:

Step-by-step explanation:

h(t) = - 16t² + 22t + 6

h = 13.5625 ft

8 0
3 years ago
Other questions:
  • Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of so
    12·2 answers
  • What is 7/25 in decimal form
    14·1 answer
  • A large pizza with no toppings cost 14$ a large pizza with 2 toppings cost 17.50$ how much for a pizza with 5 toppings
    11·2 answers
  • Mis the midpoint of AN, A has coordinates (-5,-5) and M has coordinates (3, 4) Find the coordinates of N.
    11·1 answer
  • math and science. during winter months, freshwater fish sense the water getting colder and swim to the bottoms of lakes and rive
    9·2 answers
  • A triangle and a trapezoid are graphed on the coordinate plane shown below.
    11·1 answer
  • Rewrite the faction with the indicate deramnator<br><br> 9/2 = ?/12?
    5·2 answers
  • Adrian wants his lawn to be mown 3 men apply for the task the first man can mow the lawn in 6 hours the second man can mow the l
    7·1 answer
  • What is 5(2a + 3b) expanded
    13·2 answers
  • Part A: Michael bought vegetables that weighs 4 pounds. How many ounces does the vegetables weigh? Show your work. (5 points)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!