5x+9y=−10
7x+10y=−1
help how do i solve this
Answer:
{x,y} = {7,-5}
Step-by-step explanation:
Solve equation [2] for the variable y
[2] 10y = -7x - 1
[2] y = -7x/10 - 1/10
Plug this in for variable y in equation [1]
[1] 5x + 9•(-7x/10-1/10) = -10
[1] -13x/10 = -91/10
[1] -13x = -91
Solve equation [1] for the variable x
[1] 13x = 91
[1] x = 7
By now we know this much :
x = 7
y = -7x/10-1/10
Use the x value to solve for y
y = -(7/10)(7)-1/10 = -5
Answer:
(x , y) = (7 , -5)
Step-by-step explanation:
{x, y} = {7, -5}
System of Linear Equations entered :
1. 5x + 9y = -10
2. 7x + 10y = -1
(Shown on graph below)
Solve equation 3 for the variable the y
10y = -7x - 1
y = -7x/10 - 1/10
Plug this in for variable y in equation 1
5x + 9•(-7x/10-1/10) = -10
-13x/10 = -91/10
-13x = -91
Solve equation 1 for the variable x
13x = 91
x = 7
By now we know this much :
x = 7
y = -7x/10-1/10
Use the x value to solve for y
y = -(7/10)(7)-1/10 = -5
Hence, (x , y) = (7 , -5)
Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43. 5 units2. The calculated areas are.
The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.
What is the area of a regular polygon?The area of the polygon is the product of half of the apothem of the triangle and perimeter.
The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]
The side of the triangle is 10 units.
Apothem of an equilateral triangle
[tex]s = \frac{\sqrt{3} a}{6}[/tex]
s= [tex]\sqrt{3} \times 10/6[/tex]
s = 2.88
Here, a is the side of the triangle.
Thus the apothem of the triangle is 2.9 units.
The perimeter of the equilateral triangle is equal to the three times the sides.
Perimeter of the equilateral triangle ,
P = 3(10)
P = 30
Therefore, the perimeter of the equilateral triangle is 30 units.
The area of the equilateral triangle-
The area of the polygon = [tex]\frac{1}{2} \times h \times p[/tex]
A = [tex]1/2 \times 2.9 \times 30[/tex]
A = 43.5
Thus the area of the equilateral triangle is 43.5 squared units.
Therefore, The calculated areas of both are the same instead of using the different formulas.
Learn more about the apothem;
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Answer:
(A) 2.9
(C)30
(A)1/2(2.9)(30)
(D)The same despite using different formulas
Step-by-step explanation:
I did it
I need help on this question
0.007 kg
Step-by-step explanation:[tex]1000\ grams=1\ kg\\ 7\ grams=0.007\ kg\\ Check\ conversion[/tex]
I hope this helps you
:)
fasttt please 6,132 ÷ 10³ =
Answer:
6.132
Step-by-step explanation:
please mark me the brainiest
Ann's car can go 288 miles on 8 gallons of gas. During a drive last weekend, ann used 5 gallons of gas. How far did she drive?
Answer:
180 miles
Step-by-step explanation:
Ann's car can go 288 miles on 8 gallonsBase rate
= No. of miles / No. of gallons= 288 / 8⇒ 36 miles per gallon [Important to rememeber!]5 gallons
Distance for 5 gallons = base rate x 5Distance = 36 x 5Distance = 180 milesAnswer:
180
Step-by-step explanation:
288:8=36 means with 1 gallon can drive 36 km
5 gallon used last week so 5*36 =180 km
One winter, a group of students measured snowfall totals at their school. This
chart shows how many inches of snow the students measured each month.
How much total snowfall did they receive at their school that winter?D
MONTH
SNOWFALL
December 3.3
January 10.6
February 2.5
Help pls
Answer:
The answer is 16.4 inches
Step-by-step explanation:
The result is calculated by adding all the values together. 3.3+10.6+2.5=16.4
Johan can get lunch at Joe’s Deli for $12, and he can get lunch at Majestic for $8. In one month, Johan spent $96 on lunches (and he only went to those two places, and he always got the same thing). Which equation represents possible combinations of how many lunches Johan bought at Joe’s and Majestic?
A)y=4x+96
B)12x+8y=20
C)y-8=96(x-12)
D)12x+8y=96
Answer: D
Step-by-step explanation:
It’s really obvious just circle D
Find the x-intercept and y-intercept of the line.
=+6x3y−6
Four friends went to a basketball game. Each ticket
cost $80 and all four friends bought jerseys
for $15 each.
a. What does the expression 4(80 + 15) represent?
Explain in words.
b. Evaluate the expression in question 1.
c. Evaluate the expression 4.80 +4. 15. What do
you notice?
Answer:
a) four friends bought each ticket for $80 and also
bought a Jersey for $15
b) 4(95)
= 380
c) 8.95 - the answer is in decimal
Pls help me solve this
Beverly's average mark for nine examination papers was 89.5. How many marks did she score altogether?
Answer:
805.5 out of 900
Step-by-step explanation:
A test is out of 100 and because there are 9 tests: 9 x 100 which equals 900.
To get the average we add up each test mark and divide by the number of tests. The same can be applied here but reversed. So because there were 9 tests we can multiply 89.5 by 9 which gives us 805.5. Beverly scored 805.5 marks out of 900 which makes her average 89.5% for 9 tests.
Which quadratic function in standard form has the values a = –3. 5, b = 2. 7, and c = –8. 2? f(x) = 2. 7x2 – 8. 2x – 3. 5 f(x) = 2. 7x2 – 3. 5x – 8. 2 f(x) = –3. 5x2 – 8. 2x 2. 7 f(x ) = –3. 5x2 2. 7x – 8. 2.
please helpppp pleaseee
а. 5
b. 180(5-3)=540
,..,,..,.,.,
4 qt =
С
Show me the steps please
Answer:
cups =15.99994. according to the holy bible.
Step-by-step explanation:
Use the diagram below for Questions 1 and 2. It would be helpful to draw and label the diagram in your journal. Labeling the angle and arc measures will make the problems easier.
A local TV news station has their cameras positioned at Points A, X, and B for their newscasts.
Answer: 110 degrees
Step-by-step explanation:
A local TV news station has its cameras positioned at Points A, X, and B for their newscasts.
So the m<1 = 110°
Is the measure of arc and angle the same?
An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the center. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
Please check the attached file for an explanation.
Learn more about the angle and arc measures at
https://brainly.com/question/2005046
#SPJ2
A tree is broken at a height of 5 m from the ground and its top touches the ground at a
distance of 12 m from the base of the tree. Find the original height of the tree.
Answers:
Answer:
AB = 18 m . Thus, the original height of the tree = 18 m.
Step-by-step explanation:
Please I need help
Will give brainlest answer !!!!!!
Answer:
See below ↓
Step-by-step explanation:
We need to check the different time intervals to find the max. height
t = 0 or 1 [both give same result]f(1) = -16(1) + 16(1) + 12 = 12 feet2. t = 2
f(2) = -16(2)² + 16(2) + 12 = -20 feet⇒ Clearly as she is diving, her maximum height will be her initial height which is 12 feet
⇒ To achieve this, it takes her 0 seconds [initial height = no time needed]
Taking f(x) = 0 [surface of water → just touching/hit the water]
0 = -16x² + 16x + 124x² - 4x - 3 = 04x² - 6x + 2x - 3 = 02x(2x - 3) + 1(2x - 3) = 0(2x + 1)(2x - 3) = 0x is positivex = 3/2 = 1.5 seconds⇒ After 1 second, she is 12 feet above the water
⇒ The diving board is 12 feet above the water
Find the area of this triangle. round to the nearest tenth.
Answer:
67.5ft²
Step-by-step explanation:
1/2xhxb
1/2x9x15
4.5x15
67.5ft²
Hope this helps!!!!
At the start of a science experiment, the temperature is 10 degrees Celsius. If the temperature decreases by a constant rate of 3 degrees Celsius each minute, what will be the temperature, in degrees Celsius, after 5 minutes?
Answer:
-5°C
Step-by-step explanation:
Let T1 be the temperature at the start of the experiment.
We know, T1 = 10°C
Rate of decrease in temperature = 3°C per minute.
Total temperature decreased after 5 minutes (T2) = (3*5)°C
= 15°C
The final temperature (T) = T1 - T2 = 10°C - 15°C = -5°C
Jestions: 5
5. Which of the following fractions makes this statement true?
4
12
er
3
7
dio
2
7
4.
5
panol
7
12
Answer:
I believe 2/7
Step-by-step explanation:
When you make them the same denominator they look like 48/84 > 24/84 and that's how you get the answer
This one is hard! try your best please.
A box contains 9 identical glass spheres that are used to make snow globes. The spheres are tightly packed, as shown below.
Answer:
1. 301.6 [tex]in^{3}[/tex]
2. 576 [tex]in^{3}[/tex]
3. 274.41 [tex]in^{3}[/tex]
Step-by-step explanation:
We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and [tex]\frac{12}{3} =4[/tex]. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.
Then, you can find the volume of the box, because you know its dimentions are 12x12x4.
Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)
Please help :)))))))))))
Answer:
Your answer is C and D
Step-by-step explanation:
Answer:
D. y = -x - 1
Step-by-step explanation:
We are using slope-intercept form for this problem.
Since this line is going from upper left to bottom right we know it will have a negative slope.
The line intersects the y-axis at -1, so the b value is -1.
The equation for this line is D. y = -x - 1
Identify C on the following diagram
Answer: X-axis
Step-by-step explanation: The arrow is pointing to the horizontal line on the on the graph. That horizontal line is the x-axis.
Mai's family is traveling in a car at a constant speed of 65 miles per hour.
a. At that speed, how long will it take them to travel 195 miles?
b. How far do they travel in 30 minutes?
Answer:
a) 3 hr b ) 32.5 miles
Step-by-step explanation:
195 m / 65 m/hr = 3 hr
65 m/hr * 1/2 hr = 32.5 miles
The school band sells carnations on Valentine's Day for $3 each. It buys the carnations from a florist for $0.50 each, plus a $15 delivery charge. When will the cost of the carnations be equal to the revenue from selling them? How many carnations does it need to sell to reach this point?
The cost of the carnations will be equal to the revenue when it has sold
_______ carnations. It will reach this point after it sells ______carnations.
Answer:
6 carnations
Step-by-step explanation:
0.5x +15 = 3x
x = 6
a triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?
Answer: No
Step-by-step explanation:
This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.
The exponential function f is given by f(x) = 3x. by what factor does f increase when the exponent x increases by 2? explain how you know. a 3 b 6 c 9 d 12
The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.
What is an exponential function?An exponential function is a function that is in the form: m = ab^x
Where:
a = initial value b = rate of increase x = number of yearsF(x) = 3^x
3^2 = 9
To learn more about exponential functions, please check: https://brainly.com/question/26331578
HELP PLEASE! A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.
How many campers chose basketball as their favorite activity?
26 campers
36 campers
44 campers
58 campers
Answer:
44 campers chose basketball
Lily wants to do fencing around a circular garden that has a radius of 70m. If the cost of fencing is $12 per meter, find the total cost of fencing for the entire garden (use pi=22/7
Answer:
$5280
Step-by-step explanation:
Since the radius of the circle is 70m, the perimeter or circumference of the circle is 2πr --> 2 * 70 * 22/7 which is 440 meters. Since each meter of fencing costs $12, the total cost of the fencing is $5280
Which number rounds to 5,600 when its rounded to the nearest hundred?
Answer:
number is either 5600 or 5550 or 5560 or 5570 or 5580 or 5590
Step-by-step explanation:
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