Answer:
Y is equal to 2
Step-by-step explanation:
X equals -8
So,
4(-8) + 9y = -14
-32 + 9y = -14
-32 + 32 + 9y = -14 + 32
9y = 18
1/9 × 9y = 18 × 1/9
y = 2
the measures of the angles of a triangle are shown in the figure. solve for x
Answer:
10
Step-by-step explanation:
First, we know that the angles of a triangle add up to 180 degrees. We can then sum up our angles as 90 (since it's a right triangle, represented by the square in the bottom left angle) +27+6x+3=180
90+27+6x+3=180
Add up left side
120+6x=180
Subtract 120 from both sides
6x=60
Divide both sides by 6
x=10
What are the domain and range of the function?
Answer: Domain: (-inf,inf) Range; [-4,inf)
Step-by-step explanation: Domain is x values possible and range is y values possible. Quadratics always have a domain of (-inf,inf) and the range starts from -4 going up infinitely. and if -4 is included then we use a bracket therefore, [-4,inf). Also, infinity always has a parenthesis.
Which of the following sets of numbers could not represent the three sides of a right triangle?
Answer:
25, 32, 40 can not form a right angle triangle.
Step-by-step explanation:
By Pythagoras theorem,
⇒ (40)² = (25)² + (32)²
⇒ 1600 = 625 + 1024
⇒ 1600 ≠ 1689
Answer:
option b
Step-by-step explanation:
according to the pythagoras theorem to be right angled triangle the sum of square of two smaller sides must be equal to the square of hypotenuse.
so ,
20 and 21 are smaller sides and hypotenuse be 29
pythagoras theorem
a^2 + b^2 = c^2
20^2 + 21^2 = 29^2
400 + 441 = 841
841 = 841 (since both sides are equal it forms right angled triangle)
25 and 32 are smaller sides and 40 be hypotenuse
a^2 + b^2 = c^2
25^2 + 32^2 = 40^2
625 + 1024 = 1600
1649 = 1600 (both sides are not equal so it does not form right angle triangle)
30 and 72 are smaller sides whereas 78 is hypotenuse
a^2 + b^2 = c^2
30^2 + 72^2 = 78^2
900 + 5184 = 6084
6084 = 6084 (since both sides are equal it forms right angled triangle )
32 and 60 are smaller sides and 68 is hypotenuse
a^2 + b^2 = c^2
32^2 + 60^2 = 68^2
1024 + 3600 = 4624
4624 = 4624 (since both sides are equal it forms right angled triangle )
What is the measure of ZR?
8
8
P
R.
A. 32°
B. 40°
O
C. Cannot be determined
D. 64°
Answer:
option A
Step-by-step explanation:
since the two sides of the triangle are equal the given triangle is an isosceles triangle.
Base angles of an isosceles triangle are equal.
angle P = angle R
32 degree = angle R
The measure of <QRP = 32 degree.
What is an Isosceles Triangle?An isosceles triangle is one with two sides that are the same size and a third side that is a different size.
According to the isosceles triangle theorem, if two sides of a triangle are congruent, the angles across from those sides are likewise congruent.
We have,
A triangle whose two sides are 8 unit each and an angle 32.
As, we know a triangle whose two sides are equal is said to be isosceles triangle.
So, the given triangle is isosceles.
Now, angle opposite to equal sides are also equal.
so, <QPR = <QRP = 32 degree
Learn more about isosceles triangle here:
https://brainly.com/question/2456591
#SPJ7
he tables for f(x) and g(x) are shown below.
x
f(x)
–5
–11
–2
1
1
13
5
29
x
g(x)
–5
–7
–2
–1
1
5
5
13
What is the value of (f – g)(5)?
–18
–4
16
42
Answer:
[tex](f - g)(5) = 16[/tex]
Step-by-step explanation:
Given
See attachment for tables
Required
[tex](f - g)(5)[/tex]
This is calculated as:
[tex](f - g)(5) = f(5) - g(5)[/tex]
From the table, we have:
[tex]f(5) = 29;\ \ g(5) = 13[/tex]
So:
[tex](f - g)(5) = 29 - 13[/tex]
[tex](f - g)(5) = 16[/tex]
Answer:
Keep it simple: 16
Step-by-step explanation:
Find the value of x. Around the length to the nearest tenth.
Answer:
x = 6 m
Step-by-step explanation:
x = 16sin22°
x = 6.0 m
Answer:
Step-by-step explanation:
Please help and thank u
Answer:
The answer to this question is C.
What is the solution to the system of equations?
One-fourth x minus one-half y = 8
One-half x + three-fourths y = negative 5
(–8, –12)
(–8, 12)
(8, 12)
(8, –12)
Answer:
(8 - 12 )
Step-by-step explanation:
Given
[tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] y = 8
[tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{4}[/tex] y = - 5
Multiply both equations through by 4 to clear the fractions
x - 2y = 32 → (1)
2x + 3y = - 20 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the x- term
- 2x + 4y = - 64 → (3)
Add (2) and (3) term by term to eliminate x
0 + 7y = - 84
7y = - 84 ( divide both sides by 7 )
y = - 12
Substitute y = - 12 into either of the 2 equations and solve for x
Substituting into (1)
x - 2(- 12) = 32
x + 24 = 32 ( subtract 24 from both sides )
x = 8
solution is (8, - 12 )
Answer:D:(8,-12)
Step-by-step explanation:took a test:D
Find the distance between the points (11,4) and (10,5)
Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.
How many hours does Jada need to walk dogs to earn enough money to buy the jacket?
6 hours
7 hours
8 hours
9 hours
Answer:
8 hours
Step-by-step explanation:
In 4 hours she earns 16 dollars
Since this is proportional ( goes through zero), we can multiply by 2
8 hours = 32 dollars
Jada needs to walk the dog for, 8 hours.
4x8 = 32
message
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer
Answer:
Part A
x + y ≤ 460
2.5·x + 1.25·y ≥ 600
Part B
192 bottles
Step-by-step explanation:
The given parameters are;
The selling price of a can of lemonade = $2.50
The selling price for each bottle of water = $1.25
The amount the club needs to raise to cover the cost of renting costumes, A = $600
The maximum acceptable cans and bottles = 460
Part A
Let 'x', represent the number of cans of lemonade accepted by the students, and let 'y' represent the number of bottles of water accepted, we have;
The situation can be represented by the following system of inequalities
x + y ≤ 460
2.5·x + 1.25·y ≥ 600
Part B
The number of cans of lemonade sold, x = 144
Therefore, we have;
2.5 × 144 + 1.25·y ≥ 600
1.25·y ≥ 600 - 2.5 × 144 = 240
1.25·y ≥ 240
y ≥ 240/1.25 = 192
y ≥ 192
The least number of bottles of water that must be sold to cover the cost of renting costumes, y = 192 bottles
Find the area of this triangle.
17 cm
10 cm
8 cm
21 cm
A = [ ? ] cm2
Answer:
84 cm^2
Step-by-step explanation:
8 * 21/2=84
Help me please the numbers I am using is 1,2,2,3,4,5,6,7,8,9
Answer:
2, 4.5 and 8
Step-by-step explanation:
(1)
The mode is the number which occurs most often , then
mode = 2
(2)
The median is the middle value of the numbers arranged in ascending order. If there is no exact middle value then it is the average of the numbers either side of the middle.
1, 2, 2, 3, 4, 5, 6, 7, 8, 9
↑ middle
median = [tex]\frac{4+5}{2}[/tex] = [tex]\frac{9}{2}[/tex] = 4.5
(3)
The range is the difference between the largest and smallest values
range = 9 - 1 = 8
Answer:
If your numbers are 1,2,2,3,4,5,6,7,8,9
Step-by-step explanation:
1.Mode is the data in the value which occurs most frequently.
The mode of your number is 2 cause its frequency is 2 times and its known as bimodal.
2.Median is the middle value when the data is arranged in order of size.
The median of your number is
1,2,2,3,4,5,6,7,8,9
4+5=9
2
=4.5 So,the median is 4.5
3.Range is the difference between the highest value and the smallest value of a given data.
Your range is
Range=9-1=8
I THINK IT MIGHT HELP YOU!!!
Help me solve these 4 plssss ASAP
Step-by-step explanation:
[tex]1) \\ - 2 \leqslant x \leqslant 1 \\ 2) \\ - 3 > x \geqslant 2 \\ 3) \\ x> 0[/tex]
[tex]4) \\ x \leqslant - 3 \\ 5) \\ - 4 \leqslant x \geqslant 1[/tex]
[tex]6) \\ - 2< x \leqslant 0[/tex]
Which statement is true regarding the graphed functions?
Answer:
f(2) = 0 and g(2) = 0
f(2) = g(2) TRUE
b) f(0) = 2 and g(0) = -2
f(0) = g(0) FALSE
c) f(2) = 0 and g(0) = -2
f(2) = g(0) FALSE
d) f(0) = 2 and g(2) = 0
f(0) = g(2) FALSE
If y=2x+5, then determine the value of y if x=4.
if x4 + 1/x4 = 4 find the value of x2+1/x2
Answer:
Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
Step-by-step explanation:
I think its 2
Why are 1997 pennies worth almost twenty dollars
Answer: Most 1997 pennies in circulated condition are only worth their face value of $0.01. These coins can only sell for a premium in uncirculated condition. The 1997 penny with no mint mark and the 1997 D penny are each worth around $0.30 in uncirculated condition with an MS 65 grade. unless you have an very rare 1997 penny thats then when it would become worth 20$
help meeeeeeeeeeee (25 points)
Answer:
239 mm^2
Step-by-step explanation:
We will split the figure into 3 pieces
The bottom rectangle
A = l*w = 7*3 = 21 mm^2
The top rectangle
A = l*w = 5*10 = 50 mm^2
The right triangle
A = 1/2 b*h = 1/2 ( 16) * (16+5) = 8 * (21) = 168 mm^2
The total area is 21+50+168 =239
A stationer fixes an equal rate of profit in his each item . If he sells a calculator costing Rs 700 for Rs 756 , how much should a customer pay for a novel book costing Rs 450 ?
Answer:
The customer should pay RS 506 for a novel book costing RS 450.
Step-by-step explanation:
We are given that
Selling price of calculator, S.P=RS 756
Cost of calculator, C.P=RS 700
We have to find S.P of novel book when the cost of novel book RS 450.
Profit=S.P-C.P
Profit=756-700
Profit=RS 56
Profit of each item is equal.
Therefore, profit for novel book=RS 56
C.P of novel book=RS 450
S.P=C.P+ Profit
Using the formula
S.P=450+56
S.P=RS 506
Hence, the customer should pay RS 506 for a novel book costing RS 450.
ILL MARK BRAINLIEST FIRST ANSWER I PROMISE !!!
( if it's absurd i'll report, sorry )
If y represents a student's age, which inequality shows that you must be older than 14 to try out for the basketball team?
a. y>14
b. y≥14
c. y<14
d. 14=y
Answer:
a) y > 14
Step-by-step explanation:
Which equation shows how to use equivalent fractions to evaluate 5/7 + 1/2.
Choose 1 answer:
Answer:
last one
Step-by-step explanation:
[tex]\frac{5}{7}[/tex] = [tex]\frac{10}{14}[/tex]
[tex]\frac{1}{2}[/tex] = [tex]\frac{7}{14}[/tex]
need common denominators to add fractions.
what ever is multiplied to the bottom needs to be multiplied to the top
for example : [tex]\frac{5}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{14}[/tex]
2 brothers are 1m 60 cm and 1m 44cm tall. What is their ratio of their height
Answer: 10:9
Step-by-step explanation:
brother 1- 1m 60cm
brother 2- 1m 44cm
_________________________________________________________
the ratio would be brother 1 : brother 2 => 1m 60cm : 1m 44cm
_________________________________________________________
convert both the values to cm
1m = 100cm
brother 1 would be 100cm + 60cm or 160cm
brother 2 would be 100cm + 44cm or 144cm
_________________________________________________________
[tex]\frac{160}{144} = \frac{10}{9}[/tex] when simplified
the ratio of brother 1 to brother 2 would be 10:9
What are biofertilisiers
Answer:
Step-by-step explanation:
biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals
Answer:
Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.
Step-by-step explanation:
Hope this helps
How many quarters are there in 5 3/4?
Answer:
One quarter= 1/4
5 3/4= 23/4
Number of quarters in 5 3/4= 23/4 divided by 1/4
23/4 ÷ 1/4
= 23/4 × 4
=23
I hope this helps!
Answer:
23
Step-by-step explanation:
5x4 + 3
5 x 4 = 20
20 + 3 (3 Is the fraction part)
 15 miles in 10 hours would be how many miles per hour?
Answer:
1.5 miles per hour
Step-by-step explanation:
Take the number of miles and divide by the number of hours
15 miles / 10 hours
1.5 miles per hour
Violet bought 2 yards of fabric. She will use it to make new pillow covers. How many inches of fabric did Violet get?
Answer:
24 inches
Step-by-step explanation:
2 yards to inches :
2 x 12 = 24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
72 inches
Step-by-step explanation:
1 yard = 3 feet
1 foot = 12 inches
1 yard = 3(12) inches or 36"
∴ 2 yards = 72 inches
The diagram shows a rectangle PQRS.
PQ = 14 cm and QR = 9 cm.
The point A lies on PS so that PA = 5 cm.
The point Blies on SR so that BR = 8 cm.
Answer:
a) The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is approximately 14.866 centimeters.
Step-by-step explanation:
a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:
[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]
[tex]A = 43\,cm^{2}[/tex]
The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is determined by Pythagorean Theorem:
[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)
[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]
[tex]AQ \approx 14.866\,cm[/tex]
The length of the line segment AQ is approximately 14.866 centimeters.
Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how ""just angles"" or ""just sides"" is not enough.
Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
Meaning of Congruent quadrilateralsA quadrilateral can be defined as a polygon shape that possesses four sides.
Congruent quadrilaterals are those quadrilaterals that are similar in sides and angles.
For example, a parallelogram needs to be proved by both the sides and the angles
In conclusion, Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
Learn more about Congruent quadrilaterals: https://brainly.com/question/224113
#SPJ1
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
Answer:
D. 3x + 1
Step-by-step explanation: