Find the value of x if PQ = x^2 + 3, QR = 4 + 2x, and PR = 15 if Q is between P and R.
Answer:
x=2
Step-by-step explanation:
PQ+QR=PR
=x^2+3+4+2x=15
=x^2+2x+7=15
=x^2+2x+7-15=0
=x^2+2x-8=0. (quadratic equation)
=(x+4)(x-2)=0. (factorise)
=x+4=0 or x-2=0
x=-4 or 2
we take x to be the positive value which is
x=2
how do you solve this question
Answer:
y÷234
Step-by-step explanation:
3×81x=234
234x=9x+y
234x-9x=y
x=y÷234
Find the values of x and y.
What is the sum of 4 + (-6)?
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
4+(-6)
4-6
-2
Look at the photo and answer questions *25 POINTS*
Answer:
The answer would be 4.2
Step-by-step explanation:
First add the 8 and 0
how do I get AB? Please solve and explain ❤️
Answer:
The question is asking you to measure it, so I'm assuming you would do so with a ruler and get the exact measurement in centimetres.
Solve the equation 3+2/5x=11-2/5x
Answer:
x= 10
Step-by-step explanation:
Express the statement: y is not greater than -2 as an inequality.
What is the slope of the line? Pls I need help
4. Explain how to graph the equation y = -2x + 3 *
Answer:
Step-by-step explanation:
Easy way: type the equation into a graphing calculator.
__
By hand: find a couple of points and draw a line through them.
The equation is in "slope-intercept" form:
y = mx + b
where m is the slope (-2) and b is the y-intercept (3). The y-intercept is where the line crosses the y-axis, so right away you know one point on the line. That point is (0, 3).
The slope of -2 means for each horizontal unit, the line drops 2 units vertically. The point 1 unit to the right of (0, 3) is (1, 3); and the point 2 units below that is (1, 3-2) = (1, 1). So, another point on the line is (1, 1).
You can plot those two points and draw the line through them.
Y = 120,000(1.1)^t
Is it growth or decay?
Answer:
growth
Step-by-step explanation:
The base of the positive exponent is 1.1, a value greater than 1. When the growth factor is greater than 1, it is a growth function.
__
It is a decay function when the growth factor is less than 1.
Evaluate the expression when m = -6. m^2+6m+5
Answer: -67
Step-by-step explanation:
12 1 2 is a rational number, but – 4 is not a rational number. agree or disagree
Answer:agree
Step-by-step explanation:
3 ( x - 2 ) + 5 x = 18
Answer:
3 is correct answer
Step-by-step explanation:
[tex]3(x - 2) + 5x = 18 \\ 3x - 6 + 5x = 18 \\ 8x - 6 = 18 \\ 8x = 18 + 6 \\ 8x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]
hope it helped you:)
Answer:
x=3
Step-by-step explanation:
3x-6+5x=18
add the same terms to both sides
8x-6=18
add the term again
8x-6+6=18+6
simpfly
8x=24
8x/8 24/8
x=3
It’s dealing with Identifying and writing expressions.
Please help.!
Answer:
1.E
2.C
3.B
4.A
5.D
if a car travels 45 miles in 30 minutes how far will the car travel in 2.5 hours
Answer:
225
Step-by-step explanation:
well divide 45 by 30 to get miles per min. = 1.5
and theirs 150 min in 2 1/2 hours
so now multiply 150 by 1.5 = 225
y= 2.83x + 88.7 i need the slope for this. can someone help? what is the relationship in the equation
Hey there! I'm happy to help!
This is slope intercept form: y=mx+b, where m is the slope and b is the y intercept. The slope is what is multiplying x. In our case, 2.83 is multiplying x, so 2.83 is the slope.
Have a wonderful day! :D
m<QPS=88° m<RPS=5x+34° m<QPR=8x+15° find m<RPS
Answer:49
Step-by-step explanation:
solve v = π r^2 h solve for h
Answer:
Step-by-step explanation:
πr^2h = v
h = v/πr^2
Which function has an inverse that is a function?
b(x)=x^2+3
d(x)=-9
m(x)=-7x
p(x)= |x|
Which of the following theorems verifies that DEF = STU
As we look at both triangles, we can see that they have a few things in common.
Each triangle shares a right angle, one leg, and an acute angle.
LL = leg and leg
HA = hypotenuse and angle
HL = hypotenuse and leg
LA = leg and angle
The triangles do not share two legs, nor do they share a hypotenuse.
Therefore,
LA is the only choice that makes sense.
For these two right triangle, LA(Leg and angle) verifies that ΔDEF ≅ ΔSTU.
What is the condition of congruence of two right triangles?If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent.
In these two given right triangles, ∠D = ∠S and ∠F = ∠U.
Therefore, the third angle of each triangle are equal as per the third angle theorem.
The leg of each triangle is equal as mentioned.
Therefore, LA(Leg and angle) verifies that ΔDEF ≅ ΔSTU.
Learn more about a right triangle here: https://brainly.com/question/22909605
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If rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated, how many hours must have passed if there are 5 inches of rain? Create a linear equation that is a model for the rain that has accumulated. Select the two correct answers. (1 point)
Given :
Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.
To Find :
How many hours must have passed if there are 5 inches of rain .
Solution :
Let , after x hours rain accumulated is 5 inches .
We know , general equation of line :
y = mx +c
Here , m = 0.5 and c = 1 .
So , equation of rain accumulated is :
[tex]y=0.5x+1[/tex]
Now , putting value of x = 5 hours .
We get :
[tex]y=0.5\times 5+1\\\\y=2.5+1=3.5\ inches[/tex]
Hence , this is the required solution .
Answer:
0.5h+1.5=5
1.5h+0.5=5
Solve
5x - 4 = 3x + 12.
Answer:
x=8
Step-by-step explanation:
5x-4=3x+12
-3x. -3×
2x-4=12
+4. +4
2×=16
÷2. ÷2
x=8
A submarine 625 feet below sea level ascends (rises up) 575 feet before descending (submerging down) another 455 feet. Describe the final location of the submarine. Could anybody help me plz.
Answer:
505ft below the surface
Step-by-step explanation:
subtract 575 from 625 and then add 455 to get your final answer.
What are the single digit prime numbers
Answer:
The only single-digit prime numbers are: 2, 3, 5, and 7.
Answer:
2, 3, 5, 7
Step-by-step explanation:
1) Prime numbers are numbers that can only be multiplied by themselves and one; therefore, they only have two factors.
Hope this helps!
Find the midpoint of a segment with the given endpoints.
D(-4,4), X(-2, 2) =
Answer:
The answer is
( - 3 , 3)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
D(-4,4), X(-2, 2)
The midpoint is
[tex]M = ( \frac{ - 4 - 2}{2} \: , \: \frac{4 + 2}{2} ) \\ = ( - \frac{ 6}{2} , \frac{6}{2} )[/tex]
We have the final answer as
( - 3 , 3)Hope this helps you
6.50X+9.00(10-x)=8(10)
Solve
Answer:
Brainliest PLS
x=4
Step-by-step explanation:
Let's solve your equation step-by-step.
6.5x+9(10−x)=(8)(10)
is 2.7 a rational or a irrational
Answer:
Rational
Step-by-step explanation:
2.7 can be written as a fraction, so therefore it is ration[tex]2.7=2\frac{7}{10} =\frac{27}{10}[/tex]al.
The number 2.7 is a rational number.
A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero.
In other words, a rational number can be written in the form p/q, where p and q are integers, and q is not equal to zero.
Now, let's express 2.7 as a fraction:
2.7 = 27/10
Since 27 and 10 are both integers, and the denominator (10) is not zero, we have successfully expressed 2.7 as a fraction of two integers.
Therefore, 2.7 is a rational number.
On the other hand, an irrational number cannot be expressed as a simple fraction of two integers. Examples of irrational numbers include π (pi) and √2 (the square root of 2).
These numbers have non-repeating and non-terminating decimal expansions, and they cannot be written as a fraction of two integers.
However, 2.7 is a terminating decimal (it has a finite number of decimal places), and it can be expressed as a fraction, making it a rational number.
To learn more on number click:
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Identify the dependent and I depend variable
y is the dependent variable and x is the independent variable.
LOL Khan Academy
On Monday at the county fair , Jared played a game and won 75 tickets . On Tuesday , he won 105 tickets on Wednesday , he won 127 tickets , but the spent 250 of them on a prize . How many more tickets does Jared need to win a prize that costs 150 tickets ?
Answer: 93
Step-by-step explanation:
75+105+127= 307
307-250= 57
150-57= 93 (57 + 93 = 150)