Answer:
1.(x-7)(x+2)=x^2-7x+2x-14=x^2-5x+14
2.(x+5)(x-1)=x^2-x+5x-5=x^2+4x-5
3.-2(x+1)(x-2)=-2(x^2-2x+x-2)=-2(x^2-x-2)=-2x^2+2x+4
How can you prove a triangle is an equilateral triangle? (4 points)
a
Use the distance formula to see if at least two sides are congruent.
b
Use the slope formula to see if any sides are perpendicular.
c
Use the distance formula to see if all three sides are congruent.
d
Use the slope formula to see if any sides are parallel.
Answer:c
Use the distance formula to see if all three sides are congruent.
Step-by-step explanation:
An equilateral triangle is a triangle which has three sides with the same lengths. If we check for congruence we are checking to see if all the sides are the same :)
To prove a triangle is an equilateral triangle by using the distance formula to see if all three sides are congruent, the correct option is C
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Given;
To prove a triangle is an equilateral triangle
Now, we have to use the distance formula: d = sqrt( (x2 - x1)² + ( y2 - y1 )²)
When 2 sides are congruent it could be a scalene triangle, so it is not enough. All 3 sides must be congruent.
Therefore, the answer will be by use the distance formula of triangle to see if all three sides are congruent.
Learn more about congruent triangles;
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A) 45
B) 120
C)120
D) 60
The table shows the results of a survey on the number of text messages per month for people of different ages. Based on this survey, what is the probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60? A) 157/229 B) 157/312 C) 157/384 D) 157/456
Answer:C
Step-by-step explanation:I took the test got a
The probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60 is 157/456.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
Given is table showing the results of a survey on the number of text messages per month for people of different ages.
we need to find the probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60,
P(E) = favorable outcomes / total outcomes
Favorable outcomes = 157
Total outcomes = 456
Hence the required probability = 157 / 456
Hence the probability that a person texts over 50 messages per month given that the person is between the ages of 23 and 60 is 157/456.
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Victor buys 4 sleeves of golf balls. He has coupons for $0.75 off the regular price of each sleeve. After using the coupons, the total cost of the golf balls is $11. What is the regular price of each sleeve of golf balls?
Answers please and explain
To get the answer you have to fill in the 14 for r because that is the radius. Then multiply 14 by it self to get 196 then multiply that by pie to get your answer of 615.75216.
So the answer is 615.75216
can u plz help me ok i need help
Answer:
the answer is 47 sprinklers
Step-by-step explanation:
so the system is 188 and there is one sprinkler every 4 feet
so 188/4 which would give u 47
Paige and her family went to the movies. They bought 4 tickets and paid $12
for popcom. They spent $40. How much did each ticket cost?
Choose two answers: one for the equation that models this situation and one
for the correct answer.
A. Answer:$3
B.Equation:12+4x=40
C. Equation:4+12x=40
D. Answer:$7
Answer:
D. $7
Step-by-step explanation:
i think it would be "D". the reason why i chose that answer is because first of all the total they spent is $40 right? as we see in this equation, paige and her family purchased $12 for popcorn. what does that mean? it means that 40-12= $28 that is left. the money that is left is the total of all 4 tickets. 28 divided by 4 is 7 so the answer is $7
What is the measure of each angle of a regular 26-gon?
Answer:
Angle of Regular polygon = 166.15° (Approx.)
Step-by-step explanation:
Given:
Regular polygon with 26 sides
Find:
Measure of each angle of Regular polygon
Computation:
Angle of Regular polygon = [(n-2)180] / n
where n = number of sides
Angle of Regular polygon = [(26-2)180] / 26
Angle of Regular polygon = [(24)180] / 26
Angle of Regular polygon = [4,320] / 26
Angle of Regular polygon = 166.15° (Approx.)
Hey i need help with this
Answer:
The x-intercepts are 1 and 3
The y-intercept is 3
The vertex is (2,-1)
The line of symmetry is x=2
Step-by-step explanation:
To find the x-intercepts, find where the graph intersects the x-axis, or the horizontal line. To find the y-intercept, find where the graph intersects the y-axis, or the vertical line. To find the vertex, find the coordinate where the graph is at its lowest point (or highest if it is flipped upside down). To find the line of symmetry, simple use the x-coordinate of the vertex and say x= (the x-coordinate)
A ladder leans against a building, making a 70° angle of elevation with the ground. The top of the ladder reaches a point on the building that is 39 feet above the ground.
To the nearest tenth of a foot, what is the distance between the base of the building and the base of the ladder?
Question 4 options:
13.3 ft
14.2 ft
36.6 ft
41.5 ft
Answer:
14.2feet
Step-by-step explanation:
Given the following
Angle of elevation = 70degrees
Height of the building from the ground = 39feet (opposite)
Required
distance between the base of the building and the base of the ladder (adjacent)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 70 = 39/d
d = 39/tan 70
d = 39/2.7475
d = 14.2
Hence the distance between the base of the building and the base of the ladder is 14.2feet
Is 16/36 the same value of 4/9?
Answer:
Yes, 16/36 and 4/9 are equivalent fractions; the latter is the simplified form of the original fraction: 16/36.
Step-by-step explanation:
If you are facing South-west, you should turn ______degree anti-clockwise to face North ?
Answer:
You should turn 225 degrees anti-clockwise to face North.
Please answer ASAP
Will give Brainleist
Answer:
51
Step-by-step explanation:
range = highest number - lowest number
54 - 3 = 51
Which equations are true for the values of x, y, and z? Select three options.
650
z
x
y
Ox+65º = 180°
OY= 65°
3x = 65°
Answer:
A) x + 65 = 180
B) x = z
C) y = 65
Step-by-step explanation:
(ignore the answer choice i put down i completely guessed)
Answer:17
Step-by-step explanation:
what is the range of the following data 7,5,9,10,1,2,2,8
Answer:
9
Step-by-step explanation:
An engineer traveled 150 mi by car and then an additional 630 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 8 h. Find the rate of the car.
Answer:
Step-by-step explanation:
150 mile by car x mph
630 mile by plane 3x mph
Total travel time equal 8 hours
150 / x mile / (mile / hour) = hour
630 / 3x mile / (mile / hour) = hour
150/x + 630/3x = 8 hours
450/3x + 630/3x = 8 hours
450 + 630 = 8(3x) = 24x
1080 = 24x
45 = x the rate of the car is 45 mph
The table shows how much Li earns for moving different numbers of lawns. Write an algebraic expression that describes the total earnings for n lawns.
Answer:
15n
Step-by-step explanation:
Given
The above table
Required
The formula of the table
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{n_2 - n_1}[/tex]
Where:
n = Number of Lawns
y = Earnings
[tex](n_1,y_1) = (2,30)[/tex]
[tex](n_2,y_2) = (5,75)[/tex]
So, we have:
[tex]m = \frac{75 - 30}{5 - 2}[/tex]
[tex]m = \frac{45}{3}[/tex]
[tex]m = 15[/tex]
The equation is then calculated as:
[tex]y = m(n- n_1) + y_1[/tex]
This gives:
[tex]y = 15(n- 2) + 30[/tex]
[tex]y = 15n- 30 + 30[/tex]
[tex]y = 15n[/tex]
Hence:
B is correct
Let f(x)=4(1/3)^2x. Which is equal to f(1)?
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
[tex]f(1) = 4(\frac{1}{3})^{2*1} = 4(\frac{1}{9}) = \frac{4}{9}[/tex]
i just need 2 more questions please helppp
Answer:
it prolly might be 90 coz vertically opposite triangles
what is the sum of 23 * 3/4?
Answer:
17 1/4
Step-by-step explanation:
69/4 = 17 1/4 or 17.25
Answer:
17 1/4
Step-by-step explanation:
23/1 *3/4
23*3 1*4 = 69/4 simplify 17 1/4
Please help fast!!! Thank you:)
Answer:
Step-by-step explanation:
1. 1.325 x 10^7 = 13,250,000
2. 1.02 x 10^-6 = 0.00000102
Answer:
1 one is correct
3 one is correct
5 one is correct
Step-by-step explanation:
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
b
Step-by-step explanation:
both functions are decreasing because the slope is negative :)
Answer: Function I equals 3 and Function II equals 1 and 5 over 7. Different y intercept , with a neutral slope, the functions slope are decreasing
Can someone help with my math cw ?
Answer:
Step-by-step explanation:
yyerr
A gym charges $25 per month plus extra four dollars to swim in a pool for an hour if a member only has $45 to spend each month at most how many hours can’t remember swim
Answer:
5 hours
Step-by-step explanation:
So the set fee is 25. 45-25 = 20. Now, 4 dollars an hour. 20/4 = 5, so 5 hours
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
Answer: these are the y intercepts NOT IN LEAST TO GREATEST ORDER JUST IN THE ORDER OF THE QUSTION
0,7
0,0.7
0,-5
0,2
Step-by-step explanation:
Answer:
these are the y intercepts NOT IN LEAST TO GREATEST ORDER JUST IN THE ORDER OF THE QUSTION
0,7
0,0.7
0,-5
0,2
Step-by-step explanation:
What’s 50 divided by 50?
Answer:
69 nah i'm kidding 4069 nah i'm kidding its 40 nah butt fr its 0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
50 fits in 50 once
50 ÷ 50 = 1
50 × 1 = 50
For each set of measures, choose whether the conditions determine a unique triangle, more than one triangle, or no triangle.
Answer: 1st unique 2nd nothing 3rd more than 1
Step-by-step explanation:
3 Each change of 6 in the linear function
f(x) results from a change of 2 in x.
What is the rate of change of f(x) in
relation to x?
A
1/3
с 3
B-1/3
D-3
Answer:
D. -3
Step-by-step explanation:
Sana nakatulong
There are 20 children at a library. Six of the children have a averahe age of 5 years. The remaining children have a sverage age of 8 years. What is the average age of the children at the library?
Answer: The average age of the children at the library is 7.1 years.
Step-by-step explanation:
Given,
Out of 20 children, six of the children have an average age of 5 years,
Thus, the sum of the ages of 6 students = 5 × 6 = 30
( Total sum of observations = Their Average × Total numbers of the observations )
Now, remaining students = 20 - 6 = 14,
Since, the remaining children have an average age of 8 years.
Thus, the sum of the ages of 14 students = 14 × 8 = 112,
Total sum of the ages of 20 students = 30 + 112 = 142
=142/20
= 7.1 years
Answer:
The average is 7.1 years!
Step-by-step explanation:
6 children = average of 5 years
14 children = average of 8 years