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
Genrish500 [490]
3 years ago
12

Combine the like terms to create an equivalent expression: -2k - (-5) + 1

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer:2(-k+3)

Step-by-step explanation:

simplify

-2k+5+1

-2k+6

both are divisible by 3

2(-k+3)

You might be interested in
A trapezoid has 8.2 millimeters base and 5.2 millimeters base, as well as 10 millimeters height. What is the area?
Savatey [412]

Answer:

67 mm

Step-by-step explanation:

use area of a trap formula:

b1+b2 /2*h

b1=base

b2=base

h=height

in our case it was, 8.2+5.2/2*10

67

6 0
3 years ago
Daniel buys a block of clay for an art project. The block is shaped like a cube with edges lengths of 10 inches. Daniel decides
Andre45 [30]

Answer:

=14.92...

14 the maximum number of spheres that Daniel can make from the chunk of clay.

.

Step-by-step explanation:

10^3=1000 in^3

1000/2=500 vol of one congruent chunk.

4/3 * pi * r^3 = vol of a sphere

500/(4/3 * pi * 2^3)

=14.92...

5 0
2 years ago
Tomika heard that the diagonals of a rhombus are perpendicular to each other. Help her test her conjecture. Graph quadrilateral
Stella [2.4K]

Answer:

a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus

b. The equation of the diagonal line AC is y = 5 - x

The equation of the diagonal line BD is y = 5 - x

c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other

Step-by-step explanation:

The vertices of the given quadrilateral are;

A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)

a. The length, l, of the sides of the given quadrilateral are given as follows;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

The length of side AB, with A = (1, 4) and B = (6, 6) gives;

l_{AB} = \sqrt{\left (6-4  \right )^{2}+\left (6-1  \right )^{2}} = \sqrt{29}

The length of side BC, with B = (6, 6) and C = (4, 1) gives;

l_{BC} = \sqrt{\left (1-6  \right )^{2}+\left (4-6  \right )^{2}} = \sqrt{29}

The length of side CD, with C = (4, 1) and D = (-1, -1) gives;

l_{CD} = \sqrt{\left (-1-1  \right )^{2}+\left (-1-4  \right )^{2}} = \sqrt{29}

The length of side DA, with D = (-1, -1) and A = (1,4)   gives;

l_{DA} = \sqrt{\left (4-(-1)  \right )^{2}+\left (1-(-1)  \right )^{2}} = \sqrt{29}

Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus

b. The diagonals are AC and BD

The slope, m, of AC is given by the formula for the slope of a straight line as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Therefore;

Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1

The equation of the diagonal AC in point and slope form is given as follows;

y - 4 = -1×(x - 1)

y = -x + 1 + 4

The equation of the diagonal AC is y = 5 - x

Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1

The equation of the diagonal BD in point and slope form is given as follows;

y - 6 = 1×(x - 6)

y = x - 6 + 6 = x

The equation of the diagonal BD is y = x

c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;

The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs

The point of intersection of the two diagonals is given as follows;

5 - x = x

∴ x = 5/2 = 2.5

y = x = 2.5

The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.

5 0
3 years ago
Hel me please!<br> Find two points from this graph.
Tatiana [17]

Answer:

-4,-8 : 8,8

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
What are the input variable and the output variable?
Gemiola [76]
The answer is: [A]:
_________________________________________________
  input:     number of rowers number of rowers in the rowboat;
  output:   speed of the rowboat ;
_________________________________________________
NOTE:  The input would be the independent variable and plotted on the "x-axis" of the graph; and the output would be the dependent variable and plotted on the "y-axis" of the graph.
________________________________________________
5 0
3 years ago
Read 2 more answers
Other questions:
  • Sandra scores 4 baskets in his first basketball game. She then scored the same number of baskets in each of her next 3 games. If
    10·2 answers
  • According to the fundamental theorem of algebra how many roots exist for the polynomial function f(x)=8x^7-x^5+x^3+6
    8·2 answers
  • 20% a number is 6. Determine the value of the number
    10·1 answer
  • 7) State the prime factorization of 30.
    7·1 answer
  • 3h-5h+11=17 Solve Equation.
    5·1 answer
  • Chooose the like terms 3h,i,4i answer
    11·1 answer
  • A department of transportation's study on driving speed and miles per gallon for midsize automobiles resulted in the following d
    14·1 answer
  • List 3 values that would make this inequality true 48 &lt; 6n​
    6·1 answer
  • Which relation is a function?
    12·2 answers
  • Classify the following number 8.4444
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!