SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION.
1. 2x+3y=1
-3x+y=15
Answers
Related Questions
If both the base and height of a triangle are made nine times as long, how many times the area of the original figure is the area of the new figure?
A computer company uses the function f(h) = 50h + 75 to calculate the total repair bill, f(h), for h number of hours worked. Find h if f(h) = $275. 13,825 hours 13,750 hours 4 hours 2 hours
Divide £50.00 in the ratio of 1:4 SOMEBODY HELP!!!!
Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.a. k[p(x)] = 5x − 12b. k[p(x)] = 5x − 28c. k[p(x)] = 5x2 − 12d. k[p(x)] = 5x2 − 28
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Final answer:
Samantha takes 6 3/8 hours to build one birdhouse. To find out how long it will take to build 4 birdhouses, multiply the time it takes to build one birdhouse by the number of birdhouses. Therefore, it will take Samantha 25.5 hours to build 4 birdhouses.
Explanation:
The subject of this question is Mathematics, more specifically multiplicative operations applied to time concepts in a real-world problem-solving scenario.
Solution for the Question
- First, identify the number of hours it takes Samantha to build one birdhouse. That is, 6 3/8 hours.
- Since, she's planning to build 4 birdhouses, you need to multiply the number of birdhouses (4) by the time it takes to build one birdhouse (6 3/8 hours). Hence, 4 x 6 3/8 hours = 25.5 hours.
- So, it will take Samantha 25.5 hours to build 4 birdhouses.
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If two lines are parallel, then they have the same slope. Take the slope
of the line that you know, and use it for the new line. If you also need to
find the intercept of the new line, then you need some more information ...
the intercept is not the same as the line that you know.
Final answer:
To find the equation of a line parallel to a given line, identify the slope of the given line and choose any point on that line, then use the point-slope formula to find the equation of the parallel line.
Explanation:
To find the equation of a line parallel to a given line, follow these steps:
- Identify the slope of the given line. Let's call it 'm'.
- Select any point on the given line. Let's call the coordinates of this point (x₁, y₁).
- Use the point-slope formula, y - y₁ = m(x - x₁), where (x, y) represents any point on the parallel line.
- Simplify the equation to get the final equation of the line parallel to the given line.
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Answer:
Oil changes = 5
Vincent = 10 oil changes
Warren = 10 oil changes
Step-by-step explanation:
Vincent = 5 + h
Warren = 2h
Where,
h = number of oil changes
How long will that take?
Vincent = Warren
5 + h = 2h
5 = 2h - h
5 = h
h = 5
Number of oil changes = 5
How many oil changes will Vincent and Warren each have done?
Vincent = 5 + h
= 5 + 5
= 10 oil changes
Warren = 2h
= 2(5)
= 10 oil changes
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Answer:
1. "angle HGJ" or "angle JGH" (∠HGJ or ∠JGH)
2. "angle G" (∠G)
3. "angle 3" (∠3)
Step-by-step explanation:
Three ways the shaded angle can be named:
1. We can use capital letters to name the shaded angle. The middle letter indicates the vertex. Thus, we would name the shaded angle as: "angle HGJ" or "angle JGH". G is the middle letter, which indicates the vertex of the angle. Most often, the symbol "∠" is usually used to represent the word "angle". In short form, the shaded angle can be named as:
"∠ HGJ" or "∠ JGH"
2. The shaded angle can also be named according to the vertex. Thus, G is the vertex. The angle can be named "angle G" or "∠G"
3. Numbers can be placed at the vertex of the angle, and named accordingly. Thus, the shaded angle of which the vertex is labelled "3" can be named as "angle 3" or "∠3"
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Answer:
true
Step-by-step explanation:
because CD divided AB into equal halves, so they are of course perpendicular.
Answer:
Step-by-step explanation:
This is definitely true. AC is congruent to BD, and by the Isosceles Triangle Theorem, if this congruency is true, then the angles across from these congruent sides are also congruent. This means that angle ACD is congruent to angle BCD. That makes CD a bisector of angle ACB; it also makes CD a bisector of side AB. The definition of a perpendicular bisector is that the segment splits its angle in half (and it does) and that it splits the side it goes through in half (which it does). This makes CD, in a nutshell, the perpendicular bisector of AB (which also means that CD is perpendicular to AB).
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y = (x − 1)2
y = (x − 1)2 + 1
y = (x + 1)2 − 1
y = (x + 1)2
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Vertex form uses the following formula:
a determines the stretch of the parabola. h and k are the x and y values of the vertex (h, k), respectively.
The vertex is at (-1, 0). There is no a value indicated for any answer. Plug these values into the equation:
The answer is (x+1)^2.
Answer:
(x+1)^2
Step-by-step explanation: