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
AfilCa [17]
3 years ago
9

The two shorter sides of a triangle are the same length. The length of the longer side is 5 m longer than each of the shorter si

des. The perimeter of the triangle is 29 m.
What is the length of the longest side of the triangle?

8 m

12 m

13 m

17 m
Mathematics
1 answer:
Korolek [52]3 years ago
3 0
13 m.
29 - 5 = 24
24/3=8
8+5=13
You might be interested in
Answer this question please and thank you
larisa86 [58]

Answer:

8

eight by eight is equals to sixty four

3 0
3 years ago
Find the line with the slope m=½ through point (8,1)​
Stels [109]

Answer:

y=\frac{1}{2}x-3

Step-by-step explanation:

y-y_1 =m(x-x_1 )\\
y-1=\frac{1}{2} (x-8)\\y=\frac{1}{2}x-3

4 0
2 years ago
Q1 Write the number in expanded form for the significant digits ( as fractions)
Dimas [21]

To write in expanded form is to simply mean writing each number into its place value.

6 0
2 years ago
What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C
butalik [34]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

5 0
3 years ago
Read 2 more answers
X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = -\frac{4}{5}x+\frac{58}{5}

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

          = \frac{10-5}{2+2}

          = \frac{5}{4}

    Let the slope of the tangent which is perpendicular to this line is 'm_{2}'

    Then by the property of perpendicular lines,

          m_{1}\times m_{2}=-1

          \frac{5}{4}\times m_{2}=-1

                 m_{2}=-\frac{4}{5}

   Now the equation of the line passing though (2, 10) having slope m_{2}=-\frac{4}{5}

           y - y' = m_{2}(x-x')

           y - 10 = -\frac{4}{5}(x-2)

           y - 10 = -\frac{4}{5}x+\frac{8}{5}

                  y = -\frac{4}{5}x+\frac{8}{5}+10

                  y = -\frac{4}{5}x+\frac{58}{5}

Therefore, equation of the line will be, y = -\frac{4}{5}x+\frac{58}{5}

7 0
3 years ago
Other questions:
  • 4. Given the points M(-3, -4) and T(5,0), find the coordinates of the point Q on directed line segment MT that partitions MT in
    15·1 answer
  • The sum of the exterior angles of a pentagon equals 300°.<br><br> True<br> False
    6·2 answers
  • ‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️PLEASE PLEASE HELP!!!!!
    14·1 answer
  • The cost function of a corn stand is C = 6n + 200, where n is the number of buckets of corn sold. The revenue function of this c
    13·2 answers
  • Find m Find m Find m Find m
    6·2 answers
  • Please answer this correct:):)
    10·1 answer
  • Evaluate 8-m/n+p^2 when m=8,n=2,p=7
    11·1 answer
  • What number is 30% of 100
    6·2 answers
  • The value of the 8 in 89.945 is how many times rhe value of the 8 in 763.186
    10·1 answer
  • A point is dilated with respect to the origin. Determine the value of K and state whether the dilation is an expansion or contra
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!