The slope of the line that passes through the points (-7, -2) and (-15, -14) is 3/2.
The given coordinate points are (-7, -2) and (-15, -14).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
The slope of the line is
Put (x1, y1) =(-7, -2) and (x2, y2)=(-15, -14)
Slope = m= (-14-(-2))/(-15-(-7))
= -12/(-8)
= 3/2
Therefore, the slope of the line that passes through the points (-7, -2) and (-15, -14) is 3/2.
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24 is 3/4 of ___
Find the answer
Answer:
24 is 3/4 of 32.
Step-by-step explanation:
if you understand:
24 divided by 3 (3 in 3/4) is 8.
8 x 3 = 24, so if we need to fill in the extra 1 in 3/4 (making it 4/4), we would need to add another 8. 24 + 8 = 32. (u can look up ' what is 3/4 of 32 too ')
What is the volume of this sphere?
Use a ~ 3.14 and round your answer to the nearest hundredth.
6 m
Answer:
113.1
Step-by-step explanation:
Using the volume (for sphere) formula:
V = (4/3)*pi*(r^3)
You can plug in the radius (diameter/2, the diameter is 6m) to get a volume of 113.1.
Answer:
113.04m³
Step-by-step explanation:
[tex]Solution,\\\\Diameter(d)=6m\\\\Radius(r)=6m/2=3m\\\\Now,\\\\Volume=\frac{4}{3} \pi r^{3} \\\\Volume=\frac{4}{3} *3.14*(3m)^{3} \\\\Volume=113.04m^{3}[/tex]
Can you please help me with this question????
Answer:
60
Step-by-step explanation:
because it is parallel then ,you can use alternate angles to look for answer.
with alternate angles you know that the other side of the h angles is 120°
so you should take 180°(a straight line fixed angle) -120° and get 60°.
Graph the parabola that has the following properties:
Vertex (0.1)
x-intercept = none
y-intercept = 1
Direction of opening is up
ABC def ghi jkl mno pqr stu vwy z
Travis spies an owl in a tall tree. He estimates the height of the tree to be 85 feet and the angle of elevation to the bird from where he stands to be 68°. The leaves on the tree make it difficult for Travis to watch the bird, so he takes several steps away from the tree to get a better view. He now estimates his angle of elevation to be 41°.
How many feet did Travis step back to gain a better view of the bird? Round your answer to the nearest hundredth of a foot.
Using the slope concept, it is found that he stepped back 63.44 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change.
It's also the tangent of the angle of depression.
Initially, we have that:
The vertical change is of 85 feet.The horizontal change is his distance d.The angle is of 68º.Hence:
[tex]\tan{68^{\circ}} = \frac{85}{d}[/tex]
[tex]d = \frac{85}{\tan{68^{\circ}}}[/tex]
[tex]d = 34.34[/tex]
When he stepped back, the angle was of 41º, hence:
[tex]\tan{41^{\circ}} = \frac{85}{d}[/tex]
[tex]d = \frac{85}{\tan{41^{\circ}}}[/tex]
[tex]d = 97.78[/tex]
97.78 - 34.34 = 63.44.
Hence he stepped back 63.44 feet.
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this is the answer ...
yea that is right, not sure why it says it's wrong, I'm sorry must be so frustrating
the answer is x-2/3(x-3) but i need the explanation
Answer:
[tex]\frac{x-2}{3(x-3)}[/tex]
Step-by-step explanation:
The area of the shaded rectangle is [tex]A_1=\frac{x-2}{3}\times\frac{x+1}{4}[/tex]
The area of the large rectangle is [tex]A_2=\frac{x-3}{2}\times\frac{x+1}{2}=\frac{(x-3)(x+1)}{4}[/tex]
So the fraction is [tex]\frac{A_1}{A_2}=A_1\times\frac{1}{A_2}=\frac{x-2}{3}\times\frac{x+1}{4}\times\frac{4}{(x-3)(x+1)}=\frac{x-2}{3(x-3)}[/tex]
Find the values of X and Z
Answer:
x = 12, z = 109
Step-by-step explanation:
12x - 73 = 71
12x = 71 + 73 = 144
x = 144/12 = 12
z = 180 - 71 = 109
The walk to the football field from our front door is 122
yards and 2 feet. What is the distance of the walk in
feet?
Answer:
368 feet
Step-by-step explanation:
122 yards converted to feet is 366, and you have to add the 2 feet from before, which makes it 368 feet.
How do I solve other problems like this?
y=mx+b
Answer:
y = -2x - 3
Step-by-step explanation:
in the equation y = mx + b,
m = slope b = y-intercept
The y-intercept is provided in the point, (0, -3), because that is where it crosses the y. You're y-intercept is -3
Now you need to find slope. You need to find the difference between these two points to find slope.
[tex]-2+0 = -2[/tex]
[tex]1-3=-2[/tex]
so your slope is going down by 2 and to the left by 2.
Hope this helps! Might be wrong. Try with another example and tell me if it works. <3
Answer: B
Step-by-step explanation:
m is the value of the slope between the two points on the graph
If the two coordinates is (x1,y1) and (x2,y2), the slope is (y1-y2) / (x1-x2)
So the slope for this question is (1-(-3)) / (-2-0) = -2 so the answer is B
An angle measures 78° less than the measure of its complementary angle. What is the measure of each angle?
Answer: 6 and 84 degrees
Step-by-step explanation:
Let the measure of the angle = x.
Since complementary angles sum to 90 degrees,
x + (x+ 78) = 90
2x + 78 = 90
2x = 12
x = 6.
Therefore the angles are 6 and 84 degrees.
Find the difference
(2/7x-3) - (5/2+1/5y)
Step-by-step explanation:
Distribute the negative sign:
[tex]\frac{2}{7} x-3 -5/2-\frac{1}{5}y[/tex]
From the given, we can only find the difference with the integers.
Subtract the integers:
[tex]\frac{2}{7} x-\frac{1}{5}y-0.5[/tex]
A cell phone plan charges $45.50 a month, plus $0.05 per text message. Write and graph an expression to find how many text messages, x, can be sent while still keeping the monthly bill under $60.
Answer:
289 messages
equation: [tex]y=0.05x+45.5[/tex]
graph: attached below
Step-by-step explanation:
We can write this in slope-intercept form, or [tex]y=mx+b[/tex]. Since x is defined as the #of text messages, and 0.05 is the cost of a text message, 0.05 will be m. 45.5 is the base price, or the y-intercept, so it will be b.
Plugging in these numbers, we get [tex]y-0.05x+45.5[/tex]
now we make y = 60, since that is the total amount they have
[tex]60=0.05x+45.5\\14.5=0.05x\\x=290[/tex]
So, they can send 290 messages for 60, but they need the bill under 60, so 1 text message less will be 289, and that's enough.
Right one number that is a factor of 13
Answer: 1 is the only factor of 13
Step-by-step explanation:
Answer:
1 and 13
Step-by-step explanation:
becouse 13 is a prime number(wich means a number that can only be multiplied by 1 and itself) the ony factors are 1 and 13.
Which step is not part of the 5-point credit card debt elimination plan?
a.
calculate how much money you earn each month
b.
list all of your current credit cards
c.
add up all the amounts you have in the minimum payment column
d.
pay only the minimum amount on all credit cards
Please select the best answer from the choices provided
A
B
C
D
Answer:
It's D. I did the test and got it right.
3,100 x 1/10 what is the value of the expression?
Answer:
310
Step-by-step explanation:
1/10=0.1
3100 x 0.1=310
There is a ratio of 3 boys to 4 girls in a class. Which of the following are correct ratios for the class? 3 boys to 7 girls 4 girls to 3 boys 4 girls to 7 students 3 boys to 7 students
Answer:
4 girls to 7 students, and 3 boys to 7 students
(there are 7 students in total)
I want question 9 answered I’ll give you brainliest
Mitch bought 4.6 feet of fabric. Each foot cost $3.50. How much did he spend in all on fabric?
Answer:
$16.10
Step-by-step explanation:
He spent $16.10 in total. Because 3.5 x 4.6 feet = 16.1
Answer:
$16.10
Step-by-step explanation:
3.50 x 4.6 = 14 + 2.10
What is the median of the following string of values?
Answer:
the value is 52
Step-by-step explanation:
pls brain list me
Did I do this right?
It appears the points are in the correct locations on the grid. Your graph is almost done. You need to draw a straight line through all of the points to finish off the graph of y = 1.49x
The origin represents the idea that 0 pounds of oranges cost $0
You have the correct unit rate. It indicates the oranges cost $1.49 per pound.
12. MP Persevere with Problems Write the function rule for each function.
a.
b.
C.
d.
х
f(x)
х
х
у
х f(x)
-3 -30
-1 -10
у
-3
-5
-9
-2
-2
-5
-1
-5
1
3
1
1
aoes
2
20
3
-1
7
3
5
3
5
6
60
7
3
11
5
9
TO
Answer: 4. 78,020,008 4. Seventy-eight million, twenty thousand, eight
5. 20,011,012 5. 20,000,000 + 11,000 + 12
6. 50,000 7. 900 8. 70,000,000 9. 30,000,000
Step-by-step explanation:
What 2 numbers add up to 5 and multiply to 4?
Answer:
1 and 4
Step-by-step explanation:
Products of 4:
1 and 42 and 2Pairs of numbers that sum to 5:
1 and 42 and 3Therefore, the two numbers that add up t o 5 and multiply to 4 are: 1 and 4
Which of the following statements is true, based on the graph?
O The distribution of favorite color is the same for each eye-color group.
O The group that had the highest percentage of those who like blue is the brown eye group.
The group that had the highest percentage of those who like red is in the hazel eye group.
The group that had the lowest percentage of those who like orange is the green eye group.
Answer:The distribution of favorite color is the same for each eye-color group.
Step-by-step explanation: A EDGE22
A bad punter on a football team kicks a football approximately straight upward with a velocity 90 ft/sec. The height h (in feet) of the ball t seconds after being kicked is given by h = –16t2 + 90t + 4. Find the time(s) at which the ball is at a height of 90 feet. Round to one decimal place.
The time it will take the ball to reach a height of 90feet is 1.2 and 4.4secs
How to calculate the height of a ballGiven the height h (in feet) of the ball t seconds after being kicked expressed as:
h = –16t2 + 90t + 4.
If the ball is at a height of 90feet, hence:
90 = –16t2 + 90t + 4
–16t2 + 90t + 4 - 90 = 0
16t^2 -90t + 86= 0
8t^2 -45t + 43= 0
Factorizing the result to get the values of t:
[tex]t=\frac{45 \pm \sqrt{45^2-4(43)(8)} }{16} \\t=\frac{45 \pm \sqrt{2,025-1376} }{16} \\t=\frac{45 \pm {25.47}}{16} \\t=4.4s \ and\ 1.22secs[/tex]
Hence the time it will take the ball to reach a height of 90feet is 1.2 and 4.4secs
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Help please 10 points
The ratio of right-handed to left-handed people in a coffee shop is 16:4.
What fraction of people are left-handed? Give your answer in its simplest form.
Answer:
1/5
Step-by-step explanation:
There is a total of 20 people. 4 out of 20 of them are left-handed. 4/20 simplified is 2/10. 2/10 simplified is 1/5.
f(x) = 7x+2 what's the value of f(7)
Are the polygons similar? If they are, write a similarity statement. The figures are not drawn to scale.
Based on the SAS similarity theorem, both triangles are similar.
Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.
What are Similar Polygons?Similar Polygons have different size but the same shape, and as such, the ratio of their corresponding side lengths are equal, while their corresponding angles are congruent.
Based on the SAS similarity theorem, two triangles are similar to each other if they have two pairs of corresponding sides that are proportional and an included pair of angles that are congruent.
In ΔSTV and ΔPQR:
m∠S ≅ m∠P = 86° (one pair of included congruent angles)
ST/PQ = SV/PR = 0.67 (proportional sides).
Therefore, based on the SAS similarity theorem, both triangles are similar.
Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.
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29/3 into a mixed fraction
Answer: 29/3 into a mixed fraction would be 9 2/3
I hope I helped you. Have a great day!
Step-by-step explanation:
Simplify:
29/3 = 9 2/3