Answers
============================================================
Explanation:
Pick two points on this diagonal line where (x,y) has whole number coordinates. Two such points that fit the description are (-3,2) and (1,-1)
Use the slope formula to find the slope through these points
m = (y2-y1)/(x2-x1)
m = (-1-2)/(1-(-3))
m = (-1-2)/(1+3)
m = -3/4 is the slope
-------------------------
Extra info:
It doesn't matter which two points you pick as you'll always get the same slope value. Of course, the points must be on the diagonal line.
The negative slope indicates the line goes downhill as you move from left to right.
slope = rise/run = -3/4
rise = -3, a negative rise means we go down 3 units
run = 4, we go to the right 4 units
so we go down 3 and over to the right 4. This will move us from (-3,2) to (1,-1)
Related Questions
Please help! math is hardddd :(
Answers
Answer:
12 in²
Step-by-step explanation:
The area of a triangle is base × height × 1/2.
b × h × 1/2
6 × 4 × 1/2
24 × 1/2
= 12
The area is 12 in².
Answer:
12 in^2Solution,
Base(b)=6 inches
Height(h)=4 inches
Area of triangle=?
Now,
[tex]area \: of \: triangle \\ = \frac{bh}{2} \\ = \frac{6 \times 4}{2} \\ = \frac{24}{2} \\ = 12 \: {inches}^{2} [/tex]
hope this helps ..
Good luck on your assignment...
A linear function includes the ordered pairs (0, 3), (3, 9), and (9, n). What is the value of n?
Answers
Answer:
the value of n will be the range
Step-by-step explanation:
lets just give an example of (9,n) and you had to find the value its actually simple
9 is the domain
n is the range
a part of ordered pair function
got it?
Am I right or wrong (don't answer the last one!)
Answers
Answer:
1) Distributive Property of Multiplication (The terms are distributed)
2) Addition property of equality (Adding 14 to both sides)
3) Simplifying (We simplified the expression)
4) Division property of equality (Dividing both sides by 6)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
- 14 + 6m = 10
Distributive Property of Multiplication
2 is distributed to -7 and 3m
- 14 + 14 + 6m = 10 + 14
Addition Property of Equality
Adding 14 to both sides.
6m = 24
Simplifying
Simplifying the equation.
[tex]\displaystyle \frac{6m}{6} =\frac{24}{6}[/tex]
Division Property of Equality
Dividing both sides by 6.
A solid shape is made from centimetre cubes.
Here are the plan, side elevation and
Centimetre cubes are added to
front elevation of the shape.
make this cuboid.
Plan Side elevation Front elevation
40
4 cm
3 cm
How many cubes are added?
Write your final answer as,... cubes are added.
Answers
Answer:
30 cubes are added
Step-by-step explanation:
The image of the solid shape is attached.
From the Plan, Side elevation and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks is needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.
The number of blocks needed to make the cuboid = 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added = 48 cubes - 18 cubes = 30 cubes.
30 cubes are added
The number of cubes that are added is 30.
What is Cube?
A cube's form is occasionally referred to as "cubic." Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped. One of the platonic solids, the cube is a convex polyhedron with all of its faces being square. The cube has either cubical symmetry or octahedral symmetry. The square prism is a specific instance of a cube.
From the Plan, Side elevation, and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks are needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.
The number of blocks needed to make the cuboid
= 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added
= 48 cubes - 18 cubes
= 30 cubes.
30 cubes are added.
Hence, The number of cubes that are added is 30.
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For any number y, ⌂y=2y3 . What is the value of ⌂2 + ⌂5 ? NEED HELP ASAP
Answers
Answer:
276
Step-by-step explanation:
∆y = 2y3
∆2 = 2(2)3 = 16
∆5 = 2(5)3 = 250
∆2 + ∆5 = 250 + 16 = 276
...................
Answers
Answer:
x = a(c + b)
Step-by-step explanation:
Step 1: Add b to both sides
x/a = c + b
Step 2: Multiply both sides by a
x = a(c + b)
What is the distance between c and d
Answers
Answer:
5 units apart.
Step-by-step explanation:
You can figure this out by:
a- You can count the squares in between the two points.
OR
b- You would find the absolute value of both the x values and add them together to see the overall length from each other that they are.
So when you complete either one of these tactics you would get an answer of 5 units apart.
Simplify 2(x - 3) + 7(x + 2)
Answers
Answer:
9x + 8.
Step-by-step explanation:
2(x - 3) + 7(x + 2)
= 2x - 6 + 7x + 14
= 2x + 7x - 6 + 14
= 9x + 8.
Hope this helps!
By visual Inspection, determine the best-fitting regression model for the
scatterplot.
A. No pattern
B. Linear
C. Quadratic
D. Exponential
Answers
Answer: Linear
Step-by-step explanation:
5. In an A.P, the sum of three consecutive terms is 24. When 1 is subtracted to the first term, 2 to the
second, then the terms form a G.P. Find the terms of the A.P.
Answers
Answer:
Step-by-step explanation:
Let the three numbers be a-d, a, a+d being a series in AP.
The sum of the three numbers is 24 = a-d+ a+ a+d = 3a
Thus a = 8.
Now a-d-1, a-2, a+d form a GP. It means, the common ratios should be equal or the middle term should be the Geometric Mean of the first and third terms, or
(a-d-1)(a+d) = (a-2)^2 or
(8-d-1)(8+d) = (8-2)^2, or
(7-d)(8+d) = 36, or
56 -8d +7d -d^2 = 36, or
56 -8d +7d -d^2 - 36 = 0, or
d^2 +d -20 = 0
(d+5)(d-4) = 0
Thus d = -5 or 4
So the AP is 13,8,3 or 4,8,12
Check: 13,8,3 in AP becomes (13–1), (8–2), 3 = 12, 6, 3 which is a GP with r = (1/2)
4,8,12 in AP becomes (4–1), (8–2), 12 = 3, 6, 12 which is a GP with r =2
Please please help me ❤️❤️❤️
Answers
Answer
Step-by-step explanation:
Materials
Water Bottles or Pop Bottles
Glow Sticks
Foam Sheets
Pipe Cleaners
Googly Eyes
Tissue Paper
Mod Podge
Hot Glue Gun
Instructions
Cut your tissue paper into strips and brush a layer of Mod Podge onto the center of your bottle.
Put the tissue paper strips onto the Mod Podge, wrapping it around the bottle. Brush on another layer of Mod Podge.
Once it's dry, wrap three pipe cleaners around the bottle and twist to form legs.
Cut 2 wings out of the foam and glue it to the top.
Place your glow stick inside the bottle.
Attach your googly eyes and twist another pipe cleaner around the neck of the bottle to form the antenna.
The average (arithmetic mean) of a - 5 and a is x, and the average of a and a + 9 is y. What is the average of x and y?
a + 1
B) a +2
C) 2a + 1
D) 2a + 2
Answers
Answer:
The answer is "Option A"
Step-by-step explanation:
Given:
[tex]\to \frac{(a-5)+a}{2}=x.....(a)\\\\\to \frac{a+(a+9)}{2}=y.....(b)\\\\[/tex]
solve the above equation:
[tex]\to \bold{\frac{(a-5)+a}{2}=x}\\\\\to \frac{a-5+a}{2}=x\\\\\to \frac{2a-5}{2}=x\\\\\to \bold{\frac{a+(a+9)}{2}=y}\\\\\to \frac{a+a+9}{2}=y\\\\\to \frac{2a+9}{2}=y\\\\[/tex]
add both value (x and y):
[tex]\to \bold{x+y}\\\\\to \frac{2a-5}{2}+\frac{2a+9}{2}\\\\\to \frac{2a-5+2a+9}{2}\\\\\to \frac{4a+4}{2}\\\\\to \frac{2(2a+2)}{2}\\\\\to (2a+2)\\[/tex]
average of x and y:
[tex]\to \frac{x+y}{2}\\\\\therefore \bold{x+y= 2a+2}\\\\\to \frac{2(a+1)}{2}\\\\\to \boxed{(a+1)}\\[/tex]
ABCD is a square. The length of each side of the square ABCD is units, and the length of its diagonal is about units.
Answers
Answer:
The answer is below
Step-by-step explanation:
From the diagram attached, to find the length of side AB, we need to use Pythagoras theorem on the right triangles. We can see that AB is the base of the two right triangle.
For the first right triangle with hypotenuse of 13 and height of 12, let x be the base, therefore using hypotenuse:
13² = 12² + x²
169 = 144 + x²
x² = 169 - 144
x² = 25
x = √25 = 5
For the second right triangle with hypotenuse of 15 and height of 12, let y be the base, therefore using hypotenuse:
15² = 12² + y²
225 = 144 + y²
y² = 225 - 144
y² = 81
y = √81 = 9
The length of AB = x + y = 9 + 5 = 14 unit
Since for a square all the sides are equal, therefore the length of each side of the square ABCD is 14 units.
In triangle ADC, the hypotenuse = AC, AD = DC = 14 unit. Using Pythagoras:
AC² = AD² + DC²
AC² = 14² + 14²
AC² = 196 + 196 = 392
AC = √392 = 19.8
The length of its diagonal is about 19.8 units
Solve the equation
—3x +1+ 10x = x +4
X=1/2
X=5/6
X=12
X=18
Answers
Answer:
x = 1/2
Step-by-step explanation:
-3x + 1 + 10x = x + 4
7x + 1 = x + 4
6x + 1 = 4
6x = 3
x = 3/6
x = 1/2
Answer:
It's (A) [tex]x\frac{1}{2}[/tex]
Step-by-step explanation:
HELP PLEASE!!! How do I solve this?
Answers
Answer:
32
Step-by-step explanation:
tanx=opp/adj.=40/64=5/8=0.625
find tan^-1= 32 degrees
Answer:
A. 32°
Step-by-step explanation:
[tex] \tan \: x \degree = \frac{40}{64} \\ \\ \tan \: x \degree = \frac{5}{8} \\ \\ \tan \: x \degree =0.625 \\ x \degree = {\tan}^{ - 1}( 0.625) \\ \\ x \degree =32.005383208 \degree \\ \\ \huge \red { \boxed{ x =32 \degree}}[/tex]
Mabel is comparing the prices of two car rental companies. Company A charges $35 per day and an additional $15 as service charges. Company B charges $42 per day and an additional $10 as service charges. Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 6 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 10 days?
Answers
Answer:
Part A:
Equation for Company A:
x = Number of days renting a car
35x + 15
Equation for Company B:
x = Number of days renting a car
42x + 10
Part B:
Company A will charge $ 37 less than Company B
Part C:
Company A will charge $ 65 less than Company B
Step-by-step explanation:
Part A:
Equation for Company A:
x = Number of days renting a car
35x + 15
Equation for Company B:
x = Number of days renting a car
42x + 10
Part B:
Renting a car for 6 days
Company A:
35 * 6 + 15 = 210 + 15 = $ 225
Company B:
42 * 6 + 10 = 252 + 10 = $ 262
Company A will charge $ 37 less than Company B
Part C:
Renting a car for 10 days
Company A:
35 * 10 + 15 = 350 + 15 = $ 365
Company B:
42 * 10 + 10 = 420 + 10 = $ 430
Company A will charge $ 65 less than Company B
What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12? (–6, 0), (2,0) (–2, –16), (0, –12) (–6, 0), (–2, –16), (2, 0) (0, –12), (–6, 0), (2, 0)
Answers
Answer:
(-6, 0) and (2, 0)
Step-by-step explanation:
To find the x-intercepts, we can factor the expression:
f(x) = x² + 4x - 12
2 factors of -12 that add up to 4 are 6 and -2
(x + 6)(x - 2)
Set each factor equal to 0 and solve for x:
x + 6 = 0
x = -6
x - 2 = 0
x = 2
So, the x intercepts are (-6, 0) and (2, 0)
Answer:
It's the first option, (-6, 0) (2, 0)
Step-by-step explanation:
100% on Edge
someone please help, I will give BRAINLIEST!! please explain your answer
Answers
Answer: 8.94 is the length of GI
Step-by-step explanation: The two triangles are similar, so the ratios of the sides to each other will be the same.
the unknown length of GI in triangle FIG corresponds to the known length 20 of IH in Triangle GIH, and the known length 4 of side FI in triangle FIG corresponds to GI in Triangle GIH. So the ratio looks like 4:x as x:20
4/x = x/20 multiply both sides by x and 20 to "cancel" the denominators.
20x(4/x) = 20x(x/20)
80 = x² Calculate the square roots
√x² = x . √80 = 8.94
NEED MATH HELP NOW. Please solve for x-intercept.
Answers
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
y=2x²-8x+6
x- intercept when y=0
2x²-8x+6=0x²-4x+4=1(x-2)²=1x-2=1 ⇒ x= 3x-2= -1 ⇒ x= 1Answer:
(1, 0) / (3, 0)
Step-by-step explanation:
Two cars leave the park at the same time. One travels north at a speed of 50 km/h for 2 hours. The second car travels west at a speed of 80 km/h for 2 hours. After the 2 hours, how far apart are the two cars? Be sure to draw a diagram illustrating this situation.
Answers
Step-by-step explanation:
This question requires the Pythagorean theorem.
Car A travels north 100km in two hours.
Car B travels west 160km in two hours.
Imagine a triangle the line going up is 100km
the line going left is 160km
the formula for the Pythagorean theorem is
a^2+b^2=c^2
100^2+160^2=c^2
10000+25600=c
35600=c
√35600=c
You can draw a diagram.
Find the area of a circle with radius, r = 7.29m. Give your answer rounded to 2 DP
Answers
Answer:
Area of a circle is πr²
where r is the radius
r = 7.29m
Area = π × 7.29²
= 166.957
= 166.96m² to 2 decimal places
Hope this helps you
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
Answers
Answer:
4=x
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2) distribute
1.5x+6-3 = 4.5x-9 subtract 1.5x from each side
3=3x-9 add 9 to both sides
12=3x divide by on both sides
4=x simplify
Answer:
x=4
Step-by-step explanation
En una fiesta se desea elegir un grupo de 3 personas de entre 6 matrimonios, si dos miembros de la misma pareja no pueden ser elegidos para formar parte de ese grupo. De cuantas maneras diferentes se puede formar el grupo de 3 personas?
Answers
Answer:
Hay 160 maneras
Step-by-step explanation:
Para calcular de cuántas maneras se puede seleccionar x elementos de un grupo de n elementos podemos usar la siguiente fórmula:
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
Si vas a elegir 3 personas de entre 6 matrimonios y dos miembros de la misma pareja no pueden ser elegidos, entonces podemos decir que se está eligiendo 3 matrimonios y en cada matrimonio se está eligiendo un representante.
Entonces, podemos calcular de cuántas maneras se puede escoger 3 matrimonios de los 6, así:
[tex]6C3=\frac{6!}{3!(6-3)!}=20[/tex]
Adicionalmente, para cada uno de los 3 matrimonios hay 2 opciones para ser representantes. Esto significa que hay [tex]2^3[/tex] maneras de escoger representantes en cada una de las 20 formas calculadas anteriormente.
Por lo tanto se puede formar el grupo de 3 personas de 160 maneras diferentes:
[tex]20*2^3=160[/tex]
Choose the best estimate for the division problem below.
64.309/7.19
A. 12
B. 14
C. 9
Answers
Answer:
The estimated answer would be 9
Step-by-step explanation:
The answer I received in the calculator was 8.94422. Since the tenths, place value(9) is closer to 9.0 than 8.0, we round up. I hope this helps you.
Type the correct answer in each box, If necessary, use / for the fraction bar(s).
1
-1
The point on the number line shows the opposite of
or the opposite of the opposite of
Reset
Next
Answers
Answer: -1/1
Step-by-step explanation: The fraction, -1/1 or just -1, passes through the transactional point through the slope of the line, y=3x+5.
3 3Cylinder A 3 3 4 4Cylinder B 2 2 What is the ratio of the volume of Cylinder A to the volume of Cylinder B? Choose 1 answer: Choose 1 answer: (Choice A, Checked) A 11 27 27 11 start fraction, 11, divided by, 27, end fraction (Choice B) B 16 27 27 16 start fraction, 16, divided by, 27, end fraction (Choice C) C 1 11 (Choice D) D 27 16 16 27
Answers
Answer:
(D) [tex]\dfrac{27}{16}[/tex]
Step-by-step explanation:
Volume of a Cylinder =[tex]\pi r^2h[/tex]
Cylinder A
Height = 3 Units
Radius = 3 Units
[tex]Volume =\pi \times 3^2 \times 3 =27\pi$ cubic units[/tex]
Cylinder B
Height = 4 Units
Radius = 2 Units
[tex]Volume =\pi \times 2^2 \times 4 =16\pi$ cubic units[/tex]
[tex]\dfrac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=\dfrac{27\pi}{16\pi}\\\\=\dfrac{27}{16}[/tex]
The correct option is D
Which of the following is equal to 5 1/3
Answers
Answer:
C
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex]5^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{5}[/tex] → C
Help help help please I need help fast
Answers
The answer would be x =7/5 because you would need to multiply everything by two. Then you would add 4+3 and you would end up with 5x = 7. After that, you need to divided both answers by five
Please Mark brainliest
Answer:
The answer is x=7/5
Step-by-step explanation:
because you have to multiply everything by 2 the add 4+3 and you end up with 5x=7 then divide both sides by 5
Rewrite the expression in the form k x z^n .
Answers
Answer:
(squareroot2^2) times 27 (1/2)
Step-by-step explanation:
Answer:3z^2/9
Step-by-step explanation:
Bella is buying balloons for a back to school celebration. She sees there are 4
packages of 15 balloons for $18 and 5 packages of 10 balloons for $16. Which is
a better deal? How do you know? Are you comfortable with Bella's buying
habits? Why or why not? help plsss
Answers
Answer:
The first unit price ($0.30/balloon) beats the second ($0.32/balloon).
Step-by-step explanation:
4 packages of 15 balloons for $18 works out to 1 package of 15 balloons for $18/4, or $4.50. That'd be
$4.50
---------------- = $0.30/balloon.
15 balloons
Next: 5 packages of 10 for $16 works out to 1 package of 10 for $16/5, or
1 package of 10 for $3.20. That'd be
$3.20
----------------- = $0.32/balloon
10 balloons
The first unit price ($0.30/balloon) beats the second ($0.32/balloon).
If Bella understands the math involved in finding unit costs and actually does the work prior to buying anything, then I'm comfortable with her buying habits.
Both deals are almost same.
We have a girl Bella who is buying balloons for a back to school celebration. She sees there are 4 packages of 15 balloons for $18 and 5 packages of 10 balloons for $16.
We want to know which is a better deal with appropriate reason. We have to morally investigate on the basis of our thinking whether or not Bella's buying habits are good or not.
If 'n' balloons cost $ x, then the cost of 1 balloon will be?The cost of 1 balloon will be = [tex]\frac{x}{n}[/tex] (in dollars)
Now, according to question -
Case 1 :
The total number of balloons are 15 x 4 = 60 balloons.
The cost of these 60 balloons is $ 18.
Cost of 1 balloon = [tex]\frac{18}{60}[/tex] = $ 0.3
Case 2 :
The total number of balloons are 10 x 5 = 50 balloons.
The cost of these 60 balloons is $ 16.
Cost of 1 balloon = [tex]\frac{16}{50}[/tex] = $ 0.32
It can be concluded that the both deals are almost same and i think that it is okay to spend a bit amount of money for a back to school party.
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