Answer:
The x-interecepts are 5.6 and -1.4, approximately.Step-by-step explanation:
The given equation is
[tex]5x^{2} -21x=39[/tex]
Where [tex]a=5[/tex], [tex]b=-21[/tex] and [tex]c=39[/tex], let's use the quadratic formula
[tex]x_{1,2}=\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a} =\frac{-(-21) (+-)\sqrt{(-21)^{2} -4(5)(-39)} }{2(5)}\\ x_{1,2}=\frac{21(+-)\sqrt{441+780} }{10}=\frac{21(+-35)}{10}\\x_{1}=\frac{21+35}{10}=\frac{56}{10} \approx 5.6\\ x_{2}=\frac{21-35}{10}=\frac{-14}{10} \approx -1.4[/tex]
Therefore, the x-interecepts are 5.6 and -1.4, approximately.
Select the 3 correct answers.
PLS ANSWER FAST GIVING BRAINLY TO CORRECT ONE
Answer:
a,c,f
Step-by-step explanation:
Answer:
A.
C.
F.
Hope this helped!
Please help if you can
Thank you in advance:)
Answer:
Step-by-step explanation:
The diameter of the circle is the distance from the endpoint to another endpoint. The diameter of the given circle is segment PQ. To determine the diameter of the circle, we would apply the formula for determining the distance between two points on a straight line is expressed as
Distance = √(x2 - x1)² + (y2 - y1)²
Therefore,
Diameter = √(1 - - 3)² + (9 - 5)²
Diameter = √4² + 4² = √32
Radius = diameter/2 = √32/2
A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.
The center of the circle is determined by applying the midpoint formula
(x1 + x2)/2, (y1 + y2)/2
= (- 3 + 1)/2, (5 + 9)/2
Center = (- 1, 7)
The formula for determining the equation of a circle us expressed as
(x - h)² + (y - k)² = r²
Where
r represents the radius of the circle
h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,
h = - 1 and k = 7
Substituting into the formula, it becomes
(x - h)² + (y - k)² = r²
(x - - 1)² + (y - 7)² = (√32/2)²
(x + 1)² + (y - 7)² = 32/4
(x + 1)² + (y - 7)² = 8
In how many ways can the first 4 guest arrive at a party if 15 guest have been invited
Answer:
The first 4 guests can arrive at party in 1365 ways if 15 guest have been invited
Step-by-step explanation:
Total number of guests invited = 15
We are supposed to find in how many ways can the first 4 guest arrive at a party if 15 guest have been invited
We will use combination
Formula :[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Substitute n = 15 and r = 4
So,Total no. of ways = [tex]\frac{15!}{4!(15-4)!}=1365[/tex]
Hence the first 4 guests can arrive at party in 1365 ways if 15 guest have been invited
Answer:
32,760Step-by-step explanation:
The first 4 guests can arrive in 32,760 ways.
PLEASE ANSWER! SO DESPERATE
As you can see, the cube and the cylinder are the same height and width. But, if you use their 2d counterparts, a square and a circle, a circle always takes up 78.5% of the squares area. Knowing this, we can take this knowledge and see that the cube will have a greater volume.
Hope this helps :)
Jacob is a registered nurse. He earns $68,000 per year. He must pay a $30 in taxes every $100 he earns. How much is Jacob's net income?
Answer:
$47,600
Step-by-step explanation:
Net income = total revenue - total expenses
NI= 68000 - (30)(680)
NI=68000-20400
NI=47600
wht is 555 times 0??
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanatio
If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?
Answer:
8 units
Step-by-step explanation:
Hello!
So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c = [tex]\sqrt{{a}^2 + b^{2} }[/tex], where c is the hypotenuse and a and b are the legs of the triangle.
So, from the problem, if c = 17 and a = 15, then, we're solving for b. So we'll rewrite the theorem to solve for b.
[tex]{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}[/tex]
Okay, so now we have isolated the theorem for b. Let's plug in our values for c and a.
[tex]b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8[/tex]
So, using the theorem, we found b = 8. To check our work, let's plug in b and a and solve for c.
[tex]c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\[/tex]
So, we got our hypotenuse to equal 17 units, which is correct! So, our b is correct too. Awesome
question 8, 10 and 11 pleaseeeeeeeeeeee
Answer:
8 c ,10 b ,11 d
Step-by-step explanation:
Find the surface area of a sphere with radius 5cm. Round your answer to the nearest tenth.
the question and answers are below
Answer:
Option J; 64π square cm
Step-by-step explanation:
See attachment below;
Suppose you have a set of measurements. What additional information would you need to describe the accuracy of the measurements?
A. the precision of the measurements
B. a second set of identical measurements
C. the expected value for the measurements
D. a set of measurements made with a different instrument
Answer:
D
Step-by-step explanation:
Use the distance formula and/or the Pythagorean Theorem to find the area of the triangle.
A) 8.4 square units
B) 20.5 square units
C) 41 square units
D) 60.5 square units
Answer:
B. 20.5 square unitsStep-by-step explanation:
Area of a triangle = 1/2 * Base * Height
For the given triangle, the value for the sides will be the distance between adjacent points on the triangle. Look at the attached file for the explanation of the diagram.
Using the formula for finding the distance between two points to get the base and the height of the triangle.
D = √(x2-x1)²+(y2-y1)²
For side AB where A = (-3, -4) and B(2, 0)
AB = √(2-(-3))²+(0-(-4))²
AB = √5²+4²
AB = √25+16
AB = √41
AB = Height
For side BC where B = (2, 0) and C = (6, -5)
√(x2-x1)²+(y2-y1)²
BC = √6-2)²+(-5-0)²
BC= √4²+(-5)²
BC = √16+25
BC= √41
BC = base of the triangle
Area of the triangle = 1/2 * √41 * √41
Area of the triangle = 1/2 * 41
Area of the triangle =20.5square units
Becky's mother works in an office, and her father works in a hospital. They both walk to work from home every day. Each unit on the graph is equal
to 1 block
Becky's mother walks
to reach her office, which is
farther than Becky's father walks to reach the hospital,
Answer:
I think she walks 14 blocks to get to her office and 4 blocks to reach the hospital. I had this question too and i figured it out
Step-by-step explanation:
hope this helped :3 have a nice day!! :) :)
Answer:
14 block , 4 block
Step-by-step explanation:
Fatima surveyed a random sample of 80 students in her school about their
favorite type of pet. Of the students surveyed, 20 chose cats as their favorite
type of pet. If there are 597 total students at the school, what would be a valid
estimate for the number of students whose favorite type of pet is a cat?
Answer: 149
Step-by-step explanation:
out of 80 students, 20 said that they prefers cats, then the relative frequency is:
p =20/80 = 0.25
then, out of the 597 students a estimate of:
N = 0.25*597 = 149.25 like cats
We should round it down so we have a whole number, then we have a estimate of 149 students.
Answer152
Step-by-step explanation:
if u divide the 2 u will get 157
i have to find the slope
Answer:
m=-6
Step-by-step explanation:
slope formula:
m=(y2-y1)/(x2-x1)
m= (-16--10)/(2-1)
m=(-6)/(1)
m=-6
Which fraction is equivalent to
-3/2
Answer:
Examples are below
Step-by-step explanation:
-6/4, -9/6, -15/10, -18,12, and -24/16
Answer:
12/8
Step-by-step explanation:
one of the numbers wasn't taken so. Yeah.
Please help
Find the Area of the composite figure
Answer:
Your answer is B.), 26 in.²
Step-by-step explanation:
So, what you do is you have to split it into two different shapes, find the areas of those, and then "put them back together" (add them together).
So, what I did is I made the whole top part one shape and then the bottom part. Here are the dimensions:
Top Part: 2 in. × 9 in.
Bottom Part: 4 in. × 2 in.
Now, you multiply and add them.
Top Part:
[tex]2*9=18[/tex]
Bottom Part:
[tex]4*2=8[/tex]
Add:
[tex]18+8=26in.^{2}[/tex]
Since it's a 2-dimensional figure, do not forget that when you label, you have to put a "2," as in "squared," like it's an exponent, but know that it is not an exponent. It's just so that people know, when looking at it, that it's the area of a 2-dimensional figure.
The base diameter and the height of a cone are both equal to
x units.
Which expression represents the volume of the cone, in
cubic units?
A)Pix^2
B)2pix^2
C)1/3pix^2
D)1/12pix^3
Answer:
i would say d goodluck <3
Step-by-step explanation:
A school club had a T-shirt sale to raise money. After the sale, an inventory showed that 108 blue T-shirts and 96 green T-shirts had been sold. The sizes of these T-shirts included 60 small, 86 medium, and 58 large. Which table correctly represents the data? *
A
B
C
D
Answer:
B
Step-by-step explanation:
a table must have 108 blue shirts in total and 96 green shirts
first you add them to find out if the blue shirts have 108
you also need to make sure if green has 96 shirts too
i hope this was helpful
Please answer CORRECTLY !!! Will mark brainliest !!!!!!
All I know is that A= 1/2 b. And B = 2a
So possibly the formula Is 1/2b = a
Mia has these number cards. She keeps the cards with numbers less than 85 and greater than 88. Circle the cards mia keeps.
84 86 87 89 90
Answer:
84, 89, and 90
Step-by-step explanation:
Find the surface are of the fish tank if the base is a regular octagon with side length 0.9 units and the height of the prism is 2 units
Answer:
19.11 square units
Step-by-step explanation:
The fish tank is composed by eight rectangles with base = 0.9 units and height = 2 units; and by a regular octagon at the bottom, which sides are 0.9 units long.
Area of each rectangle = 0.9*2 = 1.9 square units
Area of the regular octagon = 2*(1 + √2)*0.9² = 3.91 square units
Therefore:
Surface area of the fish tank = 8*1.9 + 3.91 = 19.11 square units
Which characteristics will prove that DEF is a right, isosceles triangle?
Answer:
the slopes of DE and EF are opposite reciprocals make the triangle Δ DEF a right triangle.
Step-by-step explanation:
The characteristics will prove that Δ DEF is a right isosceles triangle is the lengths of DE and EF are congruent, and their slopes are opposite reciprocals.
Now, the equal sides of DE = EF make the triangle Δ DEF an isosceles triangle and the slopes of two perpendicular lines are always the opposite reciprocals.
So the correct answer would be: The lengths of DE and EF are congruent, and their slopes are opposite reciprocals.
A right-angle triangle with two equal sides forming that right angle must be a right isosceles triangle.
What is a right isosceles triangle?
A triangle that has a right-angle and two equal sides is called a right-isosceles triangle.
Characteristics will prove that ΔDEF is a right isosceles triangle are as follows:
1. A right isosceles triangle must have a right angle.
2. Two sides of it must be equal. Obviously, the hypotenuse is the biggest side of the triangle. Apart from the hypotenuse, other two sides must be same. It will make their slope with the hypotenuse equal. Hence, the triangle will be also be isosceles.
Learn more about a right isosceles triangle here: https://brainly.com/question/21881466
#Tag #SPJ2
Use the Internet to identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2 ft above the ground will necessitate an angle of elevation less than to just clear the center-field fence.
Answer: According to me, it is :
A height of 2 feet above the ground and angle of elevation of 86 degrees.
Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:
180 - (90+86) = 4 degrees
The distance from the home plate to the centerfield is
2/sin 4 = x / sin 86
solve for x
x = 28.60 feet....
HOPE IT HELPS YOU
HAVE A GOOD DAY ☺️❤️
If you want give me brainliest..
The height of the center field fence require that a ball hit 2 ft is equal to 28.60 feets
The sine is the ratio between the opposite side and the hypotenuse of a right triangle, that is, it is a trigonometric ratio. It is worth remembering that ratio or trigonometric relation is the study of the angles of a right triangle.
How to calculate sine?It is the ratio of the opposite side to the hypotenuse, that is:
[tex]Sen \theta = opposite \ side/hypotenuse[/tex]
Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:
[tex]180 - (90+86) = 4 degrees\\2/sin (4) = x / sin (86)\\x = 28.60 feet[/tex]
See more about sine at brainly.com/question/3554369
Each side of the square below is 8 inches.
A triangle inside of a square. The top of the triangle divides a side of the square into 2 equal parts of 4 inches. The triangle is shaded and the area to the right of the triangle is shaded.
What is the probability that a point chosen at random in the square is in the blue region?
Answer:
16%
Step-by-step explanation:
Answer:
.75
Step-by-step explanation:
The area of a rectangle is 2x^2-7x-15. Determine binomials that represent the length and the width if this triangle
Answer:
[tex](x-5),(2x+3)[/tex]
Step-by-step explanation:
Given: area of a rectangle is [tex]2x^2-7x-15[/tex]
To find: binomials that represent the length and the width of the rectangle
Solution:
A polynomial that consists of two terms is known as binomial.
[tex]2x^2-7x-15=2x^2-10x+3x-15\\=2x(x-5)+3(x-5)\\=(2x+3)(x-5)[/tex]
Also, area of rectangle is length × breadth
So, length × breadth = [tex](2x+3)(x-5)[/tex]
So, length = 2x+3, breadth = x-5 or length = x-5, breadth = 2x+3
Simplify the expression.
[tex]\sqrt[1]{10}[/tex]
Find the value of x will give brainiest whoever answers first
Answer:
i think its 80
Answer:
80⁰
Step-by-step explanation:
x = sum of alternate angles
x = 50 + 30
x = 80⁰
7 of 8
Here is a list of numbers:
3.8, 9.8, 10, 0.7, 0.3, 4.1,7.6,2.9,1.1,9.9
State the median.
Answer:
Your median is 4.1.
Step-by-step explanation:
What is the median
The median is a measure of central tendency. It represents the value for which 50% of observations a lower and 50% are higher. Put simply, it is the value at the center of the sorted observations.
Median formulas
This calculator uses two different formulas for calculating the median, depending on whether the number of observations is odd, or it is even when the number of observations is odd the formula.
Answer:
3.95
Step-by-step explanation:
Order the numbers from least to greatest:
0.3, 0.7, 1.1, 2.9, 3.8, 4.1, 7.6, 9.8, 9.9, 10
Find the numbers in the middle:
3.8, 4.1
Find the mean of these two numbers:
(3.8+4.1)/2
3.95
Find the value of X for both
Answer:
1) 25
2) 20
Step-by-step explanation:
1)
Since these are vertical angles, they are congruent. Therefore, 3x=75, and x=25 degrees.
2)
Once again, these are vertical angles.
2+3x=62
3x=60
x=20 degrees
Hope this helps!