7. What is the slope of the line that passes through the points (14, -18) and (5, -12)?
Answer:
slope =[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:
[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]
Thus, the slope is [tex]-\frac{2}{3}[/tex].
pls answer this one
By prime factorisation method factorize 400 and find the sum of prime numbers involved.
Step-by-step explanation:
PLS MARK ME AS BRAIN LIST ANSWER
Lisa is making her famous chocolate chip brownies. The recipe calls for 2 cups of chocolate chips, but Lisa can only find her LaTeX: \frac{1}{4}1 4 measuring cup. How many LaTeX: \frac{1}{4}1 4 cups will she need to get the 2 cups needed for her recipe?
Answer:
I think the answer is 8
Step-by-step explanation:
Find the value of x in the acute scalene triangle that has the angles 114° and 37°
Pattie buys a handbag that costs 240 dollars and a scarf that costs 86 dollars. If sales tax is 7%, what is the total purchase price including tax?
Answer:
$348.82
Step-by-step explanation:
240 +86=326
326× 7%= 22.82
326+22.82= $348.82
Answer:
$348.82
Step-by-step explanation:
Do you links of a rectangle is for X +7 and the width is three if the area of the rectangle is 129 square units what is the value of X
Answer:
x = 36
Step-by-step explanation:
Length of a rectangle, x+7
Width = 3
Area of the rectangle, A = 129 units²
The area of a rectangle is given by :
A = lb
So,
[tex](x+7)\times 3=129\\\\(x+7)=43\\\\x=43-7\\\\x=36[/tex]
So, the value of x is equal to 36.
Guys can you please HELP!!?
Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How much will Colin have after 10 years to the nearest pound?
Answer:
£3,692
Step-by-step explanation:
First four years
A = p(1 + r/n)^nt
P = £2350
r = 4.2% = 0.042
n = 1
t = 4
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Next 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
In which quadrant, or on which axis, does the terminal side of angle 540° lie?
Your answer:
A. Q II
B. QIII
C. Quadrantal angle / positive x-axis
D. Quadrantal angle / negative x-axis
You travel 36 miles north and then 15 miles east. How far are you from your starting point?
Answer:
21 is the correct answer because
7 2/9 - 5 5/7= [?] [?]/[?]
Answer:
MARK BRAINLIEST OwO
102 = 1.2 x w
what is w?
Answer:
122.4
Step-by-step explanation:
Just Divide.
Answer:
85
Step-by-step explanation:
1x2 x 85 = 102
Calculate angle y
Can somebody work this out?
Answer:
y = 110
Step-by-step explanation:
ABCD is a cyclic quadrilateral ( its vertices are on the circle )
The opposite angles are supplementary, sum to 180° , then
∠ C = 180° - 70° = 110° , thus
y = 110
Ill give brainliest,
The fastest train on Earth, the TGV from France can travel at faster speeds than most any other train. During a test, the train travel 800 miles in 2.5 hours. What is its speed?
Answer:
The fastest car on Earth, a British-made Thrust SSC, would win every ... The fastest train on Earth, the TGV from France, can travel at faster speeds than trains in the United States. During a speed test, the train traveled 800 miles in 2.5 hours. What is its ... Based on this speed.
Step-by-step explanation:
The speed of the train is 320 miles per hour.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values is given using this formula.
We have,
The speed of the TGV train can be calculated using the formula:
Speed = distance/time
where distance is given in miles and time is given in hours.
In this case,
The distance traveled by train is 800 miles, and the time taken to travel this distance is 2.5 hours.
Substituting these values into the formula, we get:
Speed = 800 miles / 2.5 hours
Simplifying the expression on the right-hand side, we get.
Speed = 320 miles per hour
Therefore,
The speed is 320 miles per hour.
Learn more about speed here:
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1 point
In the previous question you found 13% of £270. Now use your answer to
decrease £270 by 13%. *
Sorry for posting again
Answer:
£234.90
Step-by-step explanation:
270(1-13/100)
lets break it down:
step 1= 13/100=0.13
step 2= 1-0.13=0.87
step 3= 270 x 0.87=234.9
final answer=£234.90
i hope it helps
True or false;
The x-intercept of a function ALWAYS occurs where y is equal to zero.
True
False
The x-intercept of a function always occurs where y is equal to zero is true.
Given,
The x-intercept of a function always occurs where y is equal to zero.
We need to find whether the given statement is True or False.
What is x-intecept and y-interept?The x-intercept is the point where the line passes through the x-axis.
We need to put y = 0.
The y-intercept is the point where the line passes through the y-axis.
We need to keep x = 0.
Check the statement.
The x-intercept of a function always occurs where y is equal to zero.
This is a true statement because in order to find the x-intercept we need always keep y = 0.
Thus the given statement-
The x-intercept of a function always occurs where y is equal to zero is true.
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What is x for -6x-7=4x-2
Answer:
Exact form: x = - 1/2
Decimal form: x = - 0.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x=-1/2
Step-by-step explanation:
Hope I helped!
While parasailing. Ryan spots a dolphin on the water below. If Ryan is 228 feet above the
water and the angle of depression to the dolphin is 15, what is the horizontal distance
between Ryan and the dolphin?
Answer:
850.9 feet
Step-by-step explanation:
The horizontal distance between Ryan and the dolphin is 850.907 feet.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Ryan is 228 feet above the water and the angle of depression to the dolphin is 15.
Using trigonometry
tan 15 = 228/ x
x= 228/ tan 15
x= 228 / 0.26794919243
x = 850.907 feet
Learn more about Trigonometry here:
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the sum of three times a number (x) and −23 is 28
Answer:
x=17
Step-by-step explanation:
3x-23=28
3x-23+23=28+23
3x=51
x=17
Henry places £6000 in an account which pays 4.6% compound interest each year
Calculate the amount in his amount after 2 years
Answer:
£ 6,564.70
Step-by-step explanation:
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years
Compound Interest formula =
A = P(1 + r/n)^nt
A = Final Amounrt
P = Principal = £6,000
r = Interest rate = 4.6%
t = Time in years = 2 years
n = Compounding frequency = Yearly = 1
First, convert R percent to r a decimal
r = R/100
r = 4.6%/100
r = 0.046 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 6,000.00(1 + 0.046/1)^(1×2)
A = £ 6,564.70
The amount in his account after 2 years = £ 6,564.70
Not asking a question, but i just wanted to thank every single one of you answering questions, you've helped me so much.
Answer:
I know that many people have helped u and I appreciate that you are thanking them.
Step-by-step explanation: Happy early Valentine’s Day!
Answer:
yw
Step-by-step explanation:
How do I find the rate of change?
explain as if you were explaining it briefly to a stranger irl
Answer:
To find the average rate of change, we divide the change in the output value by the change in the input value.
Fireworks are set off from a hill 80 feet above the Mississippi. The outer
shells will fall after exploding at its maximum height. The firework's height
about the surface of the river is given by the function h(t) = -16t^2 + 64t +
80. What is the height of the rocket after 1.5 seconds?
Answer:
752 ft
Step-by-step explanation:
Assuming t represents time, and the time we are trying to find is how high the rockets go after 1.5 seconds, we must take the equation and put 1.5 in wherever t occurs, this looks like:
-16(1.5)²+64(1.5)+80
solving this, we get:
-24²+96+80
576+96+80
752
Workout 2/7+1/5 and then simplyfy it
Answer:17/35
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/7, 1/5) = 35
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(2/7x5/5)+(1/5x7/7)=?
Complete the multiplication and the equation becomes
10/35+7/35=?The two fractions now have like denominators so you can add the numerators.
Then:10+7
——- =17/35
3
This fraction cannot be reduced.
Therefore:2/7+1/5=17/35
Expand & simplify
(2x + 6)2
Answer: 4x+12
Step-by-step explanation:
The distributive property states that a(b+c) = ab+ac.
Thus, simply do 2*2x+2*6 = 4x+12
Hope it helps <3 :D
Solve x2 + 10x = 24 by completing the square. What is the solution set of the equation? Show your work.
Answer:
32.6193819
Step-by-step explanation:
calulater never lies XD
Answer:
The answer should be: x=2,-12
which on your answer should backwards: {-12,2}
Step-by-step explanation:
Find the 9th term of the geometric sequence 10, 40, 160, ...
If are AC is 122 degrees and arc BC is 192 degrees, what is the measure of angle ACB
ACB = AC + BC
ACB = 122 + 192 = 314
The answer is b. 314 degrees
what is the distance between points (-2,3) and (-7,7)?
Answer:
5√5
Step-by-step explanation:
9e + 4=5e + 14 + 13e
Answer:
e = -1
Step-by-step explanation:
1. 9e + 4 = 5e + 14 + 14e
2. 9e = 5e + 10 + 14e
3. 9e = 19e +10
4. -10e = 10
5. e = -1
Hope that helps
Answer:
e - 10
Step-by-step explanation:
1.) We need to manipulate the equation to get e by itself.
2.) To solve the equation, do the following steps;
9e + 4 = −5e + 14 + 13e
9e + 4 = 14 + 8e (Combine like terms)
9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)
e + 4 = 14 (Combine like terms)
e + 4 - 4 = 14 - 4 (Subtract 4 from each side)
e = 10 (Combine like terms.
3.) Answer: e = 10.
Now lets check our work. To check your work, do the following steps;
9e + 4 = −5e + 14 + 13e
9e + 4 = 14 + 8e
9(10) + 4 = 14 + 8(10)
90 + 4 = 14 + 80
94 = 94
By doing those steps we can confirm the answer, e = 10, is true.