What is an equation of the line that passes through the points (0,7) and (5,4? Put your answer in fully reduced form.
Answer (assuming it can be in slope-intercept format):
[tex]y = -\frac{3}{5} x+7[/tex]
Step-by-step explanation:
When knowing the y-intercept of a line and its slope, we can write an equation representing it in slope-intercept form, or [tex]y = mx + b[/tex].
1) First, find the slope of the equation. Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], to find the slope. Substitute the x and y values of the given points into the formula and simplify:
[tex]m = \frac{(4)-(7)}{(5)-(0)} \\m = \frac{4-7}{5-0} \\m = \frac{-3}{5}[/tex]
Thus, the slope is [tex]-\frac{3}{5}[/tex].
2) Usually, we would have to use one of the given points and the slope to put the equation in point-slope form. However, notice that the point (0,7) has an x-value of 0. All points on the y-axis have an x-value of 0, thus (0,7) must be the y-intercept of the line. Now that we know the slope of the line and its y-intercept, we can already write the equation in slope-intercept format, represented by the equation [tex]y = mx + b[/tex]. Substitute [tex]m[/tex] and [tex]b[/tex] for real values.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{3}{5}[/tex] in its place in the equation. Since [tex]b[/tex] represents the y-intercept, substitute 7 in its place. This gives the following equation and answer:
[tex]y = -\frac{3}{5} x+7[/tex]
Can you help? Thanks!
Answer:
(7, 2).
Step-by-step explanation:
The median from A intersects BC at it's midpoint.
To find the midpoint of BC:
This is (x1, y1) where x1 = (sum of the x_values of B and C) / 2) and where y1
= (sum of the y_values of B and C) / 2)
This is (2+12)/2, (1 + 3)/2
= (7, 2).
Find the values of x
when y = 1
Step-by-step explanation:
when y=1 then,
y=1+X
X=1-y .
I'm assuming the equations are o that you solve in your own:
x = y + 1 = 1+1 = 2
x = y -1 = 1-1 = 0
x = 1*y = 1*1 = 1
x = y*1 = 1*1 = 1
x = y/1 = 1/1 = 1
x = 1/y = 1/1 = 1
What is an Equation?
An equality relationship between two expressions written on both sides of the equal to sign.
How Equations are Used in Real Life?There are many situations in which equations can be used. Whenever an unknown quantity has to be found, an equation can be formed and solved.
Learn more about Equation here
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Someone help me out please!! YOU WILL GET BRAINLIEST
nope they are not similar
as in order to say that triangles are similar their sides should be in proportion or angles to be equal but here
here only one angle is equal the other one is not
So they are not similar
Step-by-step explanation:
Yes the given two triangles are similar because all the corresponding angles are equal.
in the first figure let the remaining angle be x then
x + 37 + 110 = 180
x = 33
In the second figure let the remaining angle be y then
y + 33 + 110 = 180
y = 37
Here we come to the conclusion that all the corresponding angles are equal so they are similar triangles.
Hope it will help :)❤
I need help ASAP plz help I will mark brain list
Stella is sawing boards to make a deck. What is the area of the deck?
11
A. 112.5 square feet
B. 95 square feet
C. 120 square feet
D. 87.5 square feet
Jenny is 9 years younger than Sammie. Five years ago, Sammie was four times older
than Jenny. How old is each now?
Answer:
Jenny's age = 8 yr
Sam's age = 17 yr
Step-by-step explanation:
Let x = Jenny's age now
then x + 9 = Sam's age now
x - 5 = Jenny's age 5 years ago
x + 9 - 5 = x + 4 = Sam's age 5 years ago
4(x - 5) = x + 4
4x - 20 = x + 4
3x = 24
x = 8 = Jenny's age now
x + 9 = 8 + 9 = 17 Sam's age now
Check: 5 yrs ago Jenny was 3 and Sam was 12
4(3) = 12, so the answer is correct.
Talha had $150. He spent 35% of his money on clothes and 15% on Perfumes. How much money did he spend on the two items?
$60
$75
$50
$85
Answer:
$75
Step-by-step explanation:
150 x 0.35 = 52.50
150 x 0.15 = 22.50
(or do 50% of whole total)
22.50 +52.50 = $75
Answer:
75
Step-by-step explanation:
since he spent a total of 50% of his money (35%+15%), then 50% of 150 is 75
if Luis had 7 fishes and he gave 2 away how many would he have left?
Answer: 5
Step-by-step explanation: unless this was somehow a trick question
Help me please will mark brainliest
What number is 0.1 more than 30.7?
30.71
30.8
31.7
31.8
Answer:
30.8
Step-by-step explanation:
30.7+0.1=30.8
Answer:
30.8
Step-by-step explanation:
Just add one to the same decimal place as the 0.1/0.7 and you get 0.8. The main number (30) does not change.
help help help help help help help help help help help help help help help help help help help help help help
Answer:
Step-by-step explanation:
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?
Answer:A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?
Step-by-step explanation:
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?
Answer:
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?
Step-by-step explanation:
i dont know how to do this pls help
Answer:
1) 225
2) 2304
Step-by-step explanation:
1)
Use geometric mean of legs
[tex]x = \sqrt{(16+9)^2 * 9^2} = \sqrt{25^2 * 9^2} = 25 * 9 = 225[/tex]
2)
Use geometric mean of altitude
[tex]x = \sqrt{(100-36)^2 * 36^2} = \sqrt{64^2 * 36^2} = 64 * 36 = 2304[/tex]
Look at picture. Angle AEC is congruent to angle BDC because right angles are congruent. Angle ECA is congruent to angle DCB because vertical angles are congruent. to prove that triangle AEC ~ triangle BDC, we use AA postulate. The distance represented by x is __ ft. (Simplify your answer.)
Answer:
x = 240 ft
Step-by-step explanation:
20/80 = 60/x
20x = 2400
x = 240 ft
HELP HELP HELP HELP
Answer:
5.1
Step-by-step explanation:
cos 65° = [tex]\frac{x}{12}[/tex]
x = 12 cos 65°
cos 65° ≈ 0.422618261741
x ≈ 5.07 ≈ 5.1
Find the point(s) of intersection between the quadratic function y = x + 4x + 4 and the linear function y = 2x+4.
Answer:
(0, 4)
Step-by-step explanation:
To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.
First, let's simplify y = x + 4x + 4 by combining the x's.
y = 5x + 4
Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.
5x + 4 = 2x + 4
Now you want to combine the terms.
[subtract 4] 5x = 2x
[subtract 2x] 3x = 0
Now you want to isolate the x.
[divide by 3] x = 0
Now we want to find y by plugging x = 0 back into the equations.
y = 5(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Check this with the other equation.
y = 2(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Your answer is correct!
(0, 4)
What is the total amount that will be repaid if the loan described is paid in 2 years?
$1,245 loan; 5% interest rate
Given:
Principal value of loan = $1,245
Rate of interest = 5%
To find:
The total amount that will be repaid if the loan described is paid in 2 years.
Solution:
The formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is the principal, r is the rate of interest, t is the number of years.
Putting P=1245, r=5 and t=2, we get
[tex]A=1245\left(1+\dfrac{5}{100}\right)^2[/tex]
[tex]A=1245\left(1+0.05\right)^2[/tex]
[tex]A=1245\left(1.05\right)^2[/tex]
On further simplification, we get
[tex]A=1245(1.1025)[/tex]
[tex]A=1372.6125[/tex]
[tex]A\approx 1372.61[/tex]
Therefore, the total amount that will be repaid if the loan described is paid in 2 years is $1372.61.
Solve the following linear equation for x
5x−2+x=9+3x+10
Answer:
x = 7
Step-by-step explanation:
5x - 2 + x = 9 + 3x + 10
5x + x - 2 = 9 + 10 + 3x
5x + x - 3x - 2 = 9 + 10 + 3x - 3x (substracted 3x from both sides)
3x - 2 = 19
3x = 19 + 2
3x = 21
x = 21 : 3
x = 7
Calculate the pressure using the formula
p=1.03 + Mass on Syringe/Area of Top of Syringe
Pressure: 1.03
X = 1.18 kg/cm²
COMPLETE
Measure the volume of the gas in the syringe.
Estimate it to the nearest 0.5 mL. 43.5 mL
COMPLETE
Compute the product op.V.
Answer: 47.5
Step-by-step explanation:
Answer:
PRESSURE: 1.08 kg/cm
VOLUME OF THE GAS: 47.5ML
THE PRODUCT OF P x V: 51.3
Step-by-step explanation:
RATE AND THANK IF IT HAS HELPED YOU!
what is (6.648 x 10 to the power of 9) - (2.9 x 10 to the power of 7) in scientific notations
Answer:
6.651*10^9
Step-by-step explanation:
6.68*10^9-2.9*10^7
You can factor out 10^7 to get
(6.68*10^2-2.9)*10^7
(668-2.29)*10^7
665.71*10^7
Scientific notation would be 6.651*10^9
State the ex and Y intercepts for the given function and then graph the function 2X-3Y=6
Answer:
a) (3, 0), (0, -2)
b) see below
Step-by-step explanation:
The x-intercept is found by setting y=0 and solving for x:
2x = 6
x = 6/2 = 3 . . . point (3, 0), x-intercept
The y-intercept is found by setting x=0 and solving for y:
-3y = 6
y = 6/-3 = -2 . . . point (0, -2), y-intercept
__
The graph is the line through these points.
Happy House Cleaning Services charges a fee represented by the equation y=10x+20 Interpret the slope, and y-intercept of the linear function for Happy House Cleaning
The number of boys to girls in math class is 2:3 If there are 21 girls in Mrs. Vest's math class, how many boys are there? Can we use what we know about quivalent ratios to figure out how many boys are in the class?
Answer:
there are 6 boys in the class
Step-by-step explanation:
Answer:
There are 14 boys in the class. Yes, we can use what we know to figure out how many boys are in the class.
Step-by-step explanation:
think about the ratio as a fraction if the fraction is 2/3 and then compare it to x/21 21/3 is 7 and 7*2 is 14
Eps://app.edulastic.com/student/practice/604cb145ab286d0008d01ef9/class/5f6d2a635dd16ded 1704b12e/uta/6053996af6...
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10 A tourist wants to spend at most $3,500 on a cross-country adventure. The tourist has already spent $75.
If the tourist has 10 weeks left in the trip, which inequality and graph represent the maximum amount of money m the
tourist can spend per week to stay within budget?
m s 342.5
338
339
340
341
342
343
344
345
346
ms 342.5
A++
338
339
340
341
342
343
34
345
346
m 2 342.5
+++→
344 345 346
338
339
340
341
342
343
m2 342.5
A++
338
339
340
341
342
343
344
345
346
Answer:
this makes no sense
Step-by-step explanation:
6. A population of 200 bacteria has the perfect
conditions to double every 20 min. How
many bacteria will there be after each
amount of time?
a) 20 min
b) 60 min
c) 4 h
pls explain too!! ty
The table shows two sequences of numbers.
Complete the sentences to describe how one sequence is related to the other.
The table shows two sequences of numbers.
The table shows two sequences of numbers.
Complete the sentences to describe how one sequence is related to the other.
The table shows two sequences of numbers.
The rule that describes how the number of T-shirts sold relates to the amount earned
is multiply by 6, multiply by 4 or add 10 The unknown number in day 5 is 57,60, or 58. please help
Answer:
You multiply by 6 and the 5th term is 60
Step-by-step explanation:
15*4 = 60
Answer:
multiply by 4 & the unknown number is 60
Step-by-step explanation:
3×4=12
6×4=24
9×4=36
12×4=48
15×4=60
if you help me I would be really happy
Answer and Step-by-step explanation:
The measure of angle D is 64.
This is true by the vertical angles theorem, which states that angles that are vertical to each other, they are equal.
#teamtrees #WAP (Water And Plant)
Pulling a red card from a deck of cards, replacing it, and then pulling a king
Kyle and Myles wanted to buy the soccer team food after the game.
Kyle bought 5 hotdogs and 3 French fries, which costs him $14.50. Myles bought 4 hotdogs and 2 French fries, which totaled as $11.00. How much does 1 hotdog cost?
Walkthrough your answer by showing your work
Set up 2 equations:
Kyle: 5h + 3f = 14.50
Myles: 4h + 2f = 11.00
Lets get the two h's to cancel out.
Multiply Kyle by 4 and Myles by -5:
Kyle: 20h + 12f = 58
Myles: -20h - 10f = -55
Now add the two equations together:
2f = 3
Divide both sides by 2:
f = 3/2
f = 1.50
1 french fry cost $1.50
Now solve for the price of a hot dog:
5h + 3(1.50) = 14.50
5h + 4.50 = 14.50
Subtract 4.50 from both sides:
5h = 10.00
Divide both sides by 5:
h = 2
One hot dog cost $2.00
A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.85 mi long. You walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk?
Answer: 0.49 mi
Step-by-step explanation:
First find the half circumference of the circular pond as this will show the total distance your friend has to walk:
= (π * diameter) / 2
= (22/7 * 0.85) / 2
= 1.34 mi
Your friend is going to walk 1.34 and you will walk 0.85.
Difference is:
= 1.34 - 0.85
= 0.49 mi