Answer:
Gradient = -2/3
y-intercept = 7/3
Step-by-step explanation:
Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept
2x + 3y = 7
3y = -2x + 7
y = -2/3x + 7/3
Two side of a triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle.
Based on the information given, the area of the triangle is 291.85.
From the information given,
A = 26
A = 26B = 27
A = 26B = 27C = 25
Firstly, we'll add the sides given and divide them by 2. This will be:
S = (26 + 27 + 25) / 2
S = 78/2
S = 39
Then we will use the formula:
= s(s - a)(s - b)(s - c)
= 39(39 - 26)(39 - 27)(39 - 25)
= 39(13 × 12 × 14)
= 85176
Lastly, we'll find the square root of the value gotten. This will be:
= ✓85176
= 291.85.
Therefore, the area is 291.85.
Learn more about triangles on:
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Ken and Leah are trying to solve a science homework question. They need to find out how much a rock that weighs 4 pounds on Earth would weigh on Mars. They know they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars..
Answer:
1.52
Step-by-step explanation: your suppose to multiply them I just learned this 2 weeks ago hope this helps
A number added to five cubed.
Write an equation
Answer:
x+5^3
Step-by-step explanation:
Let x be the number
cubed is raised to the third power
x+5^3
Find the roots of the equation: 6y^2 + 24 = 0
Answer:
y = ±2i
Step-by-step explanation:
6y^2 + 24 = 0
Divide both sides by 6
y^2 + 4 = 0
Subtract 4 from both sides
y^2 = -4
Take the square root of both sides
y = ±√-4
y = ±2√-1
y = ±2i
Answer:
Step-by-step explanation:
6y^2+24=0
/6
y^2+4=0
y^2=-4
y=±[tex]\sqrt{-4}[/tex]
y=±[tex]\sqrt{4}[/tex] i
Please help me with this homework
Step-by-step explanation:
we see f(x), which is |x|.
and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.
shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.
so, a shift down by 3 units is done by adding -3.
therefore, C is the correct answer (the original f(x) - 3).
What is a fraction pair that is equivalent to 2/15 and 4/9, and in which both fractions have a
denominator that is the least common denominator of 2/15 and 4/9?
45
c-2115,419
Answer:
6/45 and 20/45
Step-by-step explanation:
The least common denominator is the least common multiple (LCM) of 9 and 15.
The factors of those numbers are ...
9 = 3·3
15 = 3·5
The LCM is the product of the unique factors to their highest powers:
3·3·5 = 45
__
To make 2/15 have a denominator of 45, we need to multiply by 3/3:
2/15·3/3 = 6/45
To make 4/9 have a denominator of 45, we need to multiply by 5/5:
4/9·5/5 = 20/45
The desired fraction pair is 6/45 and 20/45.
Functions or Not a Function? Explain?
Answer:
not a function
Step-by-step explanation:
the last box (3-5) does not follow the rule +5
how to do this? help me please:)
Answer:
hope it helps.
stay safe healthy and happy.
NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6
The r/3 is not division.. its a fraction. thx
Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much
Answer:
[tex]r\geq -18[/tex]
Step-by-step explanation:
[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]
Hope this helps!
What is the equation for the line in slope-intercept form?
Explain what the point (6,2) represents.
Answer: 6 is the 1st term, 2 is the common ratio
Step-by-step explanation: T = 6(2d-1)
two friends A and b invest some money in a buisness in the ratio 13:12. they make a profit of 542600. How much should b receive as profit if the profit is proportional to the investment
Answer:
Step-by-step explanation:
Slope of line |
Slope of line |
Line I and II are parallel
/perpendicular/ neither
7/2
-(7/2)
Answer:
Line I and II are perpendicular
Step-by-step explanation:
Parallel is when the slope is the same
Perpendicular is when the slope is the opposite (positive and negative)
Hope this helps!
Is this answer right?
Answer:
correct.
Step-by-step explanation:
The volume of a cylinder closed at the one end is 1056cm cube. If its height is 21cm, and the radius is 4, find the total surface area
Answer:
578 cm^2
Step-by-step explanation:
The surface area is given by one circle of radius 4 (the other is missing!), plus a "rectangle" (the lateral surface) of sides 21 and [tex]2\pi \times 4[/tex] (the length of the circumference at the base). Adding them up we get:[tex]\pi \times4^2 + 21\times 2\pi\times4 = 184\pi \approx 578 cm^2[/tex]
Explain how you know when you can factor to solve quadratics as opposed to using the square root method
Answer:
If there's a common factor, divide both sides of the equation by that number to simplify the situation. If b = 0 (no bx term), go to the square root method. (if c is positive, there are no solutions). If c = 0, then one of your solutions is x = 0
Step-by-step explanation:
hope this helps!!!!
Evaluate the expression when a=14 and b=6
−8ab= ?
Answer:
[tex] - 8ab \\ \\ - 8 \times 14 \times 6 \\ \\ = - 672[/tex]
Answer:
[tex] \\ \tt- 8ab[/tex]
[tex] \\ \tt = - 8 \times 14 \times 6[/tex]
[tex] \\ \tt= - 672[/tex]
You kayak up a river at a rate of 28 feet every 30 seconds. You kayak 423 feet every 9 minutes on the way back down the river. How fast are you traveling up river? down river? (Be sure and change your seconds to minutes)
Up River:
ft:
min
Down River:
ft:
min
You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.
The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,
28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.
423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.
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m divided 6 when m=48
[tex]\dfrac m 6 = \dfrac{48}6 = \dfrac{ 8 \times 6}6 = 8[/tex]
tell me what u think of this edit. be honest
https://www.canva.com/design/DAEvhu4Z4k8/aBnd2_pTqvSH-NiEyhcVIQ/watch?utm_content=DAEvhu4Z4k8&utm_campaign=designshare&utm_medium=link&utm_source=publishsharelink
its alright, not the best but its good.
Answer:
very nice!
Step-by-step explanation:
How to tell if something is a function.
Answer:
it is when it can make a mathematical statement
(Picture provided)
Helppppppp plsss
Answer:
100 degrees
Step-by-step explanation:
at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.
can somebody please help me
Answer:
b
Step-by-step explanation:
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Parallel
Step-by-step explanation:
So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doent change, just the starting point
for example use the following equations
y = x + 2
y = x + 3
In the graph, these equations are parallel
Answer:
Neither
Step-by-step explanation:
Because the y intercepts, or the (point on the y axis) is different
May I please have brainliest?
There are 380 female students in a class. Male students make up 60% of the class. What is the total number of students in the class
Answer:
Step-by-step explanation:
If the males make up 60% of the class then
The females make up 100 - 60 = 40% of the class.
Females = 40% * x where x = the class size.
380 = 40/100 * x
380*100 =38000
38000 = 40 x
38000/40 = x
x =950
The unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0). What is the scale factor of dilation? 3 4.
Dilation involves changing the size of a shape (i.e. a circle)
The scale of dilation is 4
The circle passes through the origin.
So, one of the points is (0,0)
When dilated it passes through the point (4,0).
The scale factor (k) is calculated by calculating the distance between the new point and the old point.
So, we have:
[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]
This gives
[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]
Simplify
[tex]\mathbf{k = \sqrt{16 +0}}[/tex]
Add 16 and 0
[tex]\mathbf{k = \sqrt{16}}[/tex]
Take the square root of 16
[tex]\mathbf{k =4}[/tex]
Hence, the scale of dilation is 4
Read more about dilation at:
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what is the answer too 2y-3=-5
2 − 3 = −5
First we need to Add 3 to both sides of the equation:
2 − 3 + 3 = −5 + 3
Then we simplify:
2 = −5 + 3
2 = −2
Now we divide both sides of the equation by the same term:
2 / 2 = −2 / 2
Final answer: = −1
I hope this helps!
Answer:
Y= - 1
Step-by-step explanation:
2y-3= - 5
+3 +3
2y= -2
/2 /2
Y= -1
Step 1: Add 3 to both sides because you want to cancel out the 3 so you do the opposite of what is say's. For example, if it says 2y-3 add 3 or 2y+3 subtract 3 from both sides.
Step 2: Add 3 to -5 which would be -2
Step 3: Since you're "multiplying" Y to 2 you're going to divide 2 to get Y by itself. So 2/2 cancels out and now you're left with y
Step 4: Divide 2 form -2 and you get -1
Let me know if you have any questions and I hope this helps
Dashawn solves the following system of equations using the elimination method.
3x−4y=36
5x+2y=8
What value does he correctly determine for x?
Enter you answer in the box.
Answer:
x = 4
Explanation:
3x - 4y = 36
5x + 2y = 8 ( multiply all by two )
3x - 4y = 36
10x + 4y = 16
13x = 52
Divide by 13
x = 4 hope this helps
Answer: x = 4
Step-by-step explanation: the dude is correct
Giovanni can read 100 words per minute. If there are approximately 400 words on a page, about how many pages can he read in 2 hours?
Answer:
Step-by-step explanation: she can read 15 pages an hour but she read for 2 hours so she read 30 pages
simplify:
5 1/12 - 2 3/4 =
Express your answer as a mixed number.
Answer:
Mixed Number Form: 2 1/3
Step-by-step explanation: