Answer: 2 rational solutions
Step-by-step explanation:
When the discriminant, b² + 2a, is greater than 0, there are two real solutions. 49 is the perfect square of 7, so the solutions are also rational: plus and minus 7
When solving a quadratic equation using the quadratic formula, the value of the discriminant is 49. Type of solutions the quadratic equation will have Two Real Rational Solutions.
What is discriminant ?Discriminant is a number that can be calculated from any quadratic equation.
What is quadratic equation?
A quadratic equation is an equation that can be written in the form of [tex]ax^2+bx+c[/tex] (where[tex]a\neq 0[/tex]).
Formula for the Discriminant [tex]=b^2-4ac[/tex]
Also,
If Discriminant is Positive and perfect square then quadratic equation will have Two Real Rational Solutions.
We have,
Discriminant [tex]=49[/tex]
So,
We have Discriminant which is a positive number and also it is a perfect square. That means quadratic equation will have Two Real Rational Solutions.
Hence, we can say that When solving a quadratic equation using the quadratic formula, the value of the discriminant is 49. Type of solutions the quadratic equation will have Two Real Rational Solutions.
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What is the slope to this graph?
Help please will mark brainliest answer
Answer:
47 degrees
Step-by-step explanation:
Answer:
B. 47 degrees
Step-by-step explanation:
/_wxy = 56
/_xyw = 68
/_xwy = 180 - (56 + 68) = 56
[interior angles of a triangle =180]
/_wzv = 77
/_vwz = 56
[/_xwy = /_ vwz]
/_zvw = 180 - (77 + 56) = 47
Mike, a Salvation Army bell ringer, has 20% as many quarters as nickels in his cup. If Mike has $6.00 in quarters and nickels, how many nickels does he have?
If If Mike has $6.00 in quarters and nickels, then the number of nickels Make have are 60.
Let's assume that the number of nickels in Mike's cup is "N." Since Mike has 20% as many quarters as nickels, the number of quarters can be expressed as 0.20N.
Now, we know that the total value of the quarters and nickels is $6.00. The value of each nickel is $0.05, and the value of each quarter is $0.25.
So, we can set up the equation:
0.05N + 0.25(0.20N) = 6.00
Now, let's solve for N:
0.05N + 0.05N = 6.00
0.10N = 6.00
N = 6.00 / 0.10
N = 60
So, Mike has 60 nickels in his cup.
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Please help! I am so confused on this, I've probably been stuck on it for at least an hour.
9514 1404 393
Answer:
see attached for the drawing
slope = -1/2
Step-by-step explanation:
For the rise of -1 and the run of 2, the slope is ...
m = rise/run = -1/2 . . . . slope in simplest form
__
Additional comments
It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.
On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.
We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.
Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.
-4y+6=-3y+12 help pls
Step-by-step explanation:
because
6-12=-3y+4y
y=-6
Two triangles are similar. The smaller triangle has side lengths 10, 20, and 15 units. The larger triangle's longest side is 52 units. What is the perimeter of the larger triangle?
Answer:
117 units
Step-by-step explanation:
if you use the ratio of the two longest sides then you can find all side lengths
[tex]\frac{52}{20}[/tex] = [tex]\frac{x}{10}[/tex]; x = half of 52, or 26
[tex]\frac{52}{20}[/tex] = [tex]\frac{x}{15}[/tex]; 20x = 52 · 15
20x = 780
x = 39
add to get perimeter: 52 + 26 + 39 = 117 units
Perimeter of the larger triangle is 117 units
Given
Two triangles are similar. The smaller triangle has side lengths 10, 20, and 15 units.
When the triangles are similar then the sides are in proportion
the longest side of the smaller triangle is 20 units
The larger triangle's longest side is 52 units.
Lets find out the unknown sides of largest triangle
Let x and y be the unknown sides . Make a proportion and solve for x and y
[tex]\frac{52}{20}=\frac{x}{10} \\x=\frac{52}{20} \codt 10\\x=26\\\\\\\frac{52}{20}=\frac{y}{15}\\y=\frac{52}{20} \codt 15\\y=39[/tex]
The unknown sides of largest triangle is 26 and 39 units
To find out the perimeter add all the sides of largest triangle
Perimeter =[tex]26+39+52=117[/tex]
Perimeter of the larger triangle is 117 units
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v*2 = u*2+ 2as
y = 35.2 correct to 1 decimal place
a = 9.8 correct to 1 decimal place
s = 60.35 correct to 2 decimal places
Work out the upper bound for u.
Give your answer to 3 significant figures.
Answer:
212m/s
Step-by-step explanation:
change of subject formula v²=u²+2as
step 1: u²=√v/2as
=v/as
using the figures to adentify the letters
v=35.2
a=9.8
s=60.35
35.2/9.8x60.35
=2124.32
in three (3)significant figures
212 unit m/s
help pleaseeeeeeeeeeeeeeeeeeeeeee
hurry
Answer:
4/11
Step-by-step explanation:
Brainiest ?
A 14-meter ladder leans against a building forming a 30° angle with the building. Exactly how
high is the ladder on the building in meters? Round to the nearest hundredth (2 digits after the
decimal).
Answer: 12.12 m
Step-by-step explanation:
Given
length of ladder L=14 m
the ladder makes an angle of [tex]\theta=30^{\circ}[/tex] with the building
With the help of a diagram, we can write
[tex]\cos \theta=\frac{\text{h}}{\text{L}}[/tex]
[tex]\cos 30^{\circ}=\frac{h}{14}[/tex]
[tex]h=14\cos 30^{\circ}[/tex]
[tex]h=12.12\ m[/tex]
This equation shows how the total number of quizzes Angie has ever taken in high school depends on the number of weeks she has attended school this quarter.
q = w + 3
The variable w represents the number of weeks she has attended school this quarter, and the variable q represents the total number of quizzes she has ever taken in high school. How many weeks of school will Angie have to attend this quarter before she will have taken a total of 12 quizzes?
Answer:
9 weeks
Step-by-step explanation:
Knowing that the "q" is the total number of quizzes, you can set the equation equal to 12, and solve for w.
12 = w + 3 Subtract 3 both sides
9 = w
which is the best estimate for the percent equivalent to 3/8
Answer:
D. 38%
Step-by-step explanation:
3/8 as a percentage is 37.5% and that is rounded to 38%! :) 37% is close but it is not rounded making it not the best estimate, therefore it is not correct.
Answer:
you are correct
Step-by-step explanation:
someone help me please and thank you
joan needs $60 for a class trip. She has $32. She can earn $4 an hour mowing lawns. How many hours must Joan to have the money she needs?
Joan has 32$. And makes 4$ every hour of mowing lawns.
60-32=28.
So what we will do to solve this problem is multiply 7 by 4.
7x4= 28.
32+28=60.
This means that Joan needs to work 7 hours in total to earn $28.
Helppp timeee!!! Plsss
Answers:
Problem A: 26.34
Problem B: 90.537
Problem C: 309.02
Problem D: 170.084
Find x
Tan(x) = 1 - (Sqroot2)
Answer:
16.32495 degrees
Step-by-step explanation:
1- sqrt/2 = (2-sqrt2)/2
x = arctan((2-sqrt2)/2) = 16.32495 degrees
The probability that Brian wins a raffle is given by the expression n n + 2 . Write down an expression, in the form of a combined single fraction, for the probability that Brian does not win.
Answer:
[tex]\frac{2}{n+2}[/tex]
Step-by-step explanation:
Given
Let the total probability be 1
Probability that Brian wins a raffle = n/n+2
Probability that Brian does not win a raffle = 1 - Probability that Brian wins a raffle
Probability that Brian does not win a raffle = 1 - (n/n+2)
Probability that Brian does not win a raffle = [tex]\frac{n+2-n}{n+2}[/tex]
Probability that Brian does not win a raffle = [tex]\frac{2}{n+2}[/tex]
Hence required fraction is [tex]\frac{2}{n+2}[/tex]
The side included by A and ARB is
The lowest temperature on Mars can reach - 140 degrees Celsius while the highest temperature can be 20 degrees Celsius. and use it to calculate the difference between the highest and the lowest temperature on Mars
Answer:
120
Step-by-step explanation:
-140 + 20 = 120
From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far is the ship from the base of the to the nearest foot?
Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot
Bdhxhdjjd helpppll & I’ll give you a star +15 points
Heelp 2 easy question Math
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
Expand the left side and solve the resulting 2-step linear equation.
x^2 -(4 -4x +x^2) = 8
x^2 -4 +4x -x^2 = 8 . . . . . eliminate parentheses
-4 +4x = 8 . . . . . . . . . . . . . collect terms
-1 +x = 2 . . . . . . divide by 4
x = 3 . . . . . . . . . add 1
Given that f(x) = 3x – 2
and g(x) = 2x,
evaluate f(g(-1))
254356547654566556688754678
waht is x-500=7 is x equals to 240
does anyone know the answers to 1 and 2?? there’s only 2 options and you can see them on each question
Answer:
1. 5
2. 5
Step-by-step explanation:
1. What is the sum of the measures of the interior angles of a 27-gon? (1 point)
Answer:
4500
Step-by-step explanation:
The formula is (n-2) * 180 where n is the number of sides
25 * 180
4500
I hope this helped, please give brainliest if this is correct! Thank you!
a new energy drink advertise 182 calories for 6 ounces how many calories are in 21 ounces of the drink? There are ____ calories in the 21 ounce drink
Answer:
636.9 calories = 21 ounces
Step-by-step explanation:
182 calories= 6 ounces
30.3 calories= 1 ounces
636.9 calories= 21 ounces
Please help, giving all my points. Geometry
Answer:
Q7. 240Q8. 25°Q9. 70°Step-by-step explanation:
Q7.The shortest sides are corresponding in similar triangles
One has side length of 5, another one is 20
Scale factor is:
20/5 = 4Since perimeter is sum of 3 sides and each side has 4 times difference, the perimeter will have 4 times the difference. So it is:
60*4 = 240Q8.Dilation doesn't affect angle measures. A and W are corresponding angles and they measure the same.
m∡A = m∡Wx + 20 = 5x5x - x = 204x = 20x = 5m∡W = 5x = 5*5 = 25°
Q9.Dilation doesn't affect angle measures. B and M are corresponding angles and they measure the same.
m∡B = m∡M2x + 30 = 3x + 103x - 20 = 30 - 10x = 20m∡B = 2x + 30 = 2*20 + 30 = 70°
Select the correct answer. y - 6 = 4( x - 4) Which of the following shows a graph of the equation above?
Answer:
One of the points will be at (0,-10)
One of the points will be at (5/2,0)
The slope is 4
Step-by-step explanation:
Just look at a graph that has the points close to the ones at the top. Good luck, and have a nice day.
Nadia thinks of a number.
She finds the square root and then divides by 5.
Her answer is 20.
What number is she thinking of?
let the num be a
/a÷5=20
/a=20×5
/a =100
square root of 100 is 10
so the number is 10
The number that she have to think of should be considered as the 10 when her answer is 20.
Calculation of the number:Since here we assume the number be a
And, now she have to determine the square root and then divide it by 5
So, it can be like
[tex]a\div 5=20\\\\a=20\times 5[/tex]
a =100
Now the square root of 100 should be 10
hence, a = 10
Therefore, The number that she have to think of should be considered as the 10 when her answer is 20.
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Solve the inequality and graph the solution on the line provided.
-7x + 8< -6
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-7x+8<-6 Equation/Question
Step 2
-7x+8<-6 Simplify
-7x+8<-6
Step 3
-7x+8<-6 Subtract 8
-7x<-14
Step 4
-7x<-14 Divide sides by -7
answer
x>2
Hope this helps