Answer:
-10,1,19
Step-by-step explanation:
x+y+z = 10 (Equation 1)
2y-x= 12 (Equation 2)
x-y+2z = 7 (Equation 3)
(Equation 2): -x = -2y+12
x = 2y-12 (Equation 4)
(Equation 1) - (Equation 3): 2y-z = 3
-z = -2y+3
z = 2y-3 (Equation 5)
Substitute (4) and (5) into (1)
x+y+z = 10
(2y-12)+y+(2y-3) = 10
5y-15 = 10
5y = 5
y=1
Substitute y=1 into (2)
2y-x= 12
2(1)-x= 12
2-x= 12
-x= 12-2
-x= 10
x= -10
Substitute y=1 and x=-10 into (1)
x+y+z = 10
-10+1+z = 10
z-9 = 10
z = 10+9
z = 19
Order: x = -10, y = 1, and z = 19
Answer:
-2 5 7
Step-by-step explanation:
What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p + 2)(p + 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p + 2) (p squared + 2 p + 4) (p minus 2) (p + 2) (p squared + 4)
Answer:
(p-2) (p+2) ( p^2+4)
Step-by-step explanation:
p^4 – 16
p^2^2 - 4^2
This is the difference of squares
(a^2 - b^2) = (a-b)(a+b)
(p^2 -4) (p^2+4)
Rewriting
(p^2 -2^2) (p^2+4)
We have another difference of squares
(p-2) (p+2) ( p^2+4)
Answer:
D
Step-by-step explanation:
on edg 2020!
In an orchard, there are 15 apple trees, 30 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
Answer:
15:1
Step-by-step explanation:
15 apples trees: 1 cherry tree
The figure shows the front side of a purse in the shape of a trapezoid.
What is the area of this trapezoid?
110 in²
121 in²
130 in²
220 in²
Answer:
110in2
Step-by-step explanation:
Area = (base1 + base2 ) * height /2
= ( 9 + 13) *10 /2 = 110in2
Answers:
110in^2
Step-by-step explanation:
area pf rectangle=l×w
=9in×10in
=90in^2
area of 1st triangle
A=bh/2
=2in×10in/2
=20in^2/2
=10in^2
area of 2nd triangle=10in^2
Area of trapezoid =90in^2+10in^2+10in^2
=11in^2
The rule T5, -0.5 oR 0, 180(x,y) is applied to triangle FGH to produce triangle F’G’H’. What are the coordinates of vertex F’ of triangle F’G’H’?
Answer:
Step-by-step explanation:
Rule for the transformations has been given as,
[tex]T_{(5, -0.05)o\text{R}(0, 180)}(x,y)[/tex] defines the rules as the translation by 5 units right and 0.5 units down followed by rotation of the triangle by 180° about the origin.
In other words,
Rule for translation:
F(x, y) → F"(x + 5, y - 0.5)
Followed by the rotation of 180° about the origin,
Rule of rotation,
F"(x', y') → F'(-x, -y)
Following these rules coordinates of the new triangle F'G'H' can be obtained.
An architect created a scale model of a building that was to be built.
Using a scale factor, how tall will the actual building be?
15 ft
60 ft
105 ft
135 ft
The scale factor is 15 because the width of the actual building is 15 times bigger than the model building.
So the length will be...
7*15 = 105 ft
answer: 105 ft
Item 12
Find the circumference of the object. Use $3.14$ or 22/7
for pi . Round to the nearest hundredth if necessary.
A cymbal with a radius of 7 inches.
circumference: about
in.
18. Find " y " when x = -4.25
y = 20x - 16x²
Answer:
204
Step-by-step explanation:
Plug it into a calculator
or
20 multiplied by -4.25 then subtracted by 16 times -4.25 squared.
PLEASE HELP WILL MARK BRAINLIEST
Denise and Jacqueline are training for a swimming and running race.
• Jacqueline swims for 30 minutes. Then she runs 3.2 miles at a constant
pace. Her total training time is 54 minutes. • Denise swims for 24 minutes.
She runs at a constant pace of 8 minutes per mile. Her goal is to train for at
least 60 minutes. *
Part A: Write an equation or inequality to represent the pace, in minutes per mile, that Jacqueline
runs. Define all variables used. At what pace, in minutes per mile, does Jacqueline run? Show your
work. Respond in the space provided.
Answer:
45
Step-by-step explanation:
There is a population of 1,000 bacteria in a colony. If the number of bacteria doubles every 4 minutes, what will the population be 8 minutes from now? Please help me I might Fail Algebra.
Answer:
the population will be 16,000
The radius of a circle is 1 millimeter. What is the circle's area?
Answer:
The circle's area is pi
Step-by-step explanation:
A=πr2=π·12≈3.14159...
The price of a Honda Civic is $26,750. You can finance this by paying $3500 down and $455 per month for 60 months. Determine the total finance charge. A. $3500 B. 3750 C. $4050 D. $5200
Answer:
Step-by-step explanation:
455 per month for 60 months = 60 * 455 = 27,300
Plus amount of down payment = 27,300 + 3,500 = 30,800
Finance charge = 30,800-26,750 = 4,050
Ms. Sanders put $5,200 in a savings account that pays 4.2% simple interest. Each year she withdraws the interest and treats herself to a visit to a spa. How much can she spend each year?
Answer:
$218.40
Step-by-step explanation:
i=prt
i=(5200)(.042)(1)
Need Help Please, Stressing out :( and Thank you:)
Answer:
please don't be stressed :)
2. c
Step-by-step explanation:
2. if 1,000 is one kilogram then 1,412 = 1.412.
sorry i could only answer 1 but hope this helps
Which is 34,513 closer to, 35,000 or 34,000?
Answer:
35,000
Step-by-step explanation:
~Because it's over 500~
Answer: 35000
Step-by-step explanation: 34,513 use the rule of rounding 5 or more add one more = 35000
The picture is up there thank you!
Answer:
4
Step-by-step explanation:
because it is the most # of pictures
What is the range of the data?
A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. To find out how high on the wall the ladder rests, which of the following formulas would be used?
Distance Formula
Slope Formula
Pythagorean Theorem
None of these choices are correct.
Answer:
Pythagorean Theorem
Step-by-step explanation:
A 10 ft long ladder has one end that leans against a wall and another that rests on the ground - hypotenuse
6 feet from the wall - one leg
how high on the wall the ladder rests - second leg.
We have a right triangle, we need to find a leg,
so we have to use
Pythagorean Theorem.
The value of x 3y, for x = -2 and y = 3, is -24. True False
Answer:
true
Step-by-step explanation:
x^3 y when x = -2 and y = 3
(-2)^3 * 3
-8 *3
-24
This is true
what is the measurement of RST
A: 40°
B: 50°
C: 60°
D: 70°
PLEASE HELP!! (two questions, will give brainliest to best answer)
(Image below)
c) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle? (2 points)
d) The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain. (2 points)
Answer:
yes, the corner is at a 90 angle
Step-by-step explanation:
Answer:
It is a right triangle.
Step-by-step explanation:
We know that 5, 4 and 3 is a Pythagorean Triple. In this instance, however, the Hypoteneus is 50, with the other sides being 40 and 30. This is simply the Pythagorean triple but ×10 larger.
You can also check this by:
50²= 30²+40²
---------------------------------------
Therefore, if the side-lengths is a Pythagorean triple, then the figure is a right triangle.
Jack ran 13.5 miles in 1.5 hours. What was his speed in miles per minute?
Answer:
9
Step-by-step explanation:
13.5 / 1.5 = 9
Answer:
[tex] \boxed{Speed = 0.15 \: miles \: per \: minute} [/tex]
Given:
Distance travelled = 13.5 miles
Time taken = 1.5 hours = 1.5 × 60 = 90 minutes
Step-by-step explanation:
[tex]Speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13.5}{90} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.15 \: miles \: per \: minute[/tex]
What is the slope of a line PARALLEL to the graph?
b. 0
C. 3
d.
31
2
-2
0
6
В
D
Answer:
Step-by-step explanation:
hello :
this line passes trough A(1,1) and B(2,4)
the slope is : (YB - YA)/(XB -XA)
(4-1)/(2-1) = 3/1
the slope is : 3.....answer : C (parallal means : same slope)
The McPhearson family went fishing. They caught 7 fish. The weights of the fish were 15, 16, 15, 13, 19, 20, and 21 pounds. What is the mean weight of these fish? Answer options with 4 options A. 15 B. 16 C. 17 D. 18
Answer:
C. 17
Step-by-step explanation:
The mean weight can be calculated by adding the numbers 15 + 16 + 15 + 13 + 19 + 20 + 21 divided by the number 7, which is the amount of numbers you just added.
(15 + 16 + 15 + 13 + 19 + 20 + 21)/7
the outcome = 17 which corresponds to answer C.
Answer: The answer is C.17
Step-by-step explanation:
Consider circle H below.
Y
If XY = 78 miles and mXY = 70°, then determine the radius of circle H.
Use 3.14 for pi and round your answer off to the nearest hundredths place if necessary. Type in the
number only; do not enter units.
Blank 1:
We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.
We will use arc length formula to solve our given problem.
[tex]\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}[/tex], where,
r = Radius of circle,
[tex]\theta[/tex] = Central angle corresponding to arc.
We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.
[tex]78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}[/tex]
[tex]78=2\cdot 3.14\cdot r\cdot \frac{7}{36}[/tex]
[tex]78= 3.14\cdot r\cdot \frac{7}{18}[/tex]
[tex]78= r\cdot \frac{21.98}{18}[/tex]
[tex]r\cdot \frac{21.98}{18}=78[/tex]
[tex]r\cdot \frac{21.98}{18}\cdot \frac{18}{21.98}=78\cdot \frac{18}{21.98}[/tex]
[tex]r=63.8762511373[/tex]
Upon rounding to nearest hundredth, we will get:
[tex]r\approx 63.88[/tex]
Therefore, the radius of circle H is approximately 63.88 miles.
Can someone please help me with these problems?
Answer:
number 1 is 5 inches
Step-by-step explanation:
it fits in the 15 inches 3 times.
5*3=15
Students in grade 7 and 8 were asked which food they liked best the results are shown in the table below?
Answer:
55% if the students like hotdods
Answer:
55%
Step-by-step explanation:
In the figure below, APE and EPD are congruent.
What is the arc measure of BAD on circle P in degrees?
Answer:
arc BAD = 244°
Step-by-step explanation:
The sum of the angles around the centre of the circle = 360°, thus
∠APD = 360° - (136 + 74 + 42)° = 360° - 252° = 108°
The angle at the centre is equal to the arc that subtends it, thus
arc BAD = arc BA + arc AD = 136° + 108° = 244°
The requried measure of arc BAD on circle P is given as 244°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
The Arc of the whole circle measures, 2π = 360°,
Angle ∠APD is given as
∠APD = 360° - (136 + 74 + 42)°
∠APD = 360° - 252° = 108°
The angle at the center is equal to the arc that subtends it, thus
Arc BAD = Arc BA + Arc AD
Arc BAD = 136° + 108° = 244°
Thus, the requried measure of arc BAD on circle P is given as 244°.
Learn more about Angles here:
https://brainly.com/question/13954458
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if the relationship is proportional, what is the missing value from the table?
A 8
B 9
C 12
D 14
Answer:
C 12
Step-by-step explanation:
16 × 6 ÷ 8 = 12
check answer: 24 × 12 ÷ 16 = 18
Please help it’s timed
Answer:
y=45
x=90
Step-by-step explanation:
x is a right angle, y is vertical from 45 degrees making it congruent to it.
Answer:
C: x=90 y=45
Step-by-step explanation:
The place where x is is obviously a right angle therefore, it is 90. Then here is a diagonal line cutting through the 90 degrees in half. 90/2=45.
−8⋅f(0)+4⋅g(−8)=
Please help
Answer:
-32
Step-by-step explanation:
Look at the attachment
Functions can be represented as equations and graphs.
The value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32
From the graph, we have the following values.
[tex]\mathbf{f(0)= 1}[/tex]
[tex]\mathbf{g(-8)= -6}[/tex]
So, we have:
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 \times 1 + 4 \times -6}[/tex]
Simplify
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 -24 }[/tex]
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -32 }[/tex]
Hence, the value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32
Read more about functions and equations at:
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