Sample Response: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.
A cell phone uses a 3.0 V battery. The circuit board it uses needs a 0.05 A current. What size resistor is needed to generate this current?
___ Ω
Answer:
the answer is 60.
Step-by-step explanation:
Identify the reflection rule on a coordinate plane that verifies that triangle A(-1,7), B(6,5), C(-2,2) and A'(-1,-7), B'(6,-5), C'(-2,-2) triangle are congruent when reflected over the x-axis.
Final answer:
The reflection rule over the x-axis is when a point (x, y) reflects to (x, -y). Applying this rule to triangle A(-1,7), B(6,5), C(-2,2) gives us the reflected points that match the coordinates of A'(-1,-7), B'(6,-5), C'(-2,-2), proving the triangles are congruent.
Explanation:
The student is querying about the reflection of a triangle over the x-axis on a coordinate plane, specifically within the domain of Mathematics. To demonstrate that triangles A(-1,7), B(6,5), C(-2,2) and their reflected counterparts A'(-1,-7), B'(6,-5), C'(-2,-2) are congruent, we will use the reflection rule associated with reflections over the x-axis.
The reflection rule states that when a point (x, y) is reflected over the x-axis, the resulting point will be (x, -y). Applying this rule:
For point A(-1, 7), the reflection over the x-axis would be A'(-1, -7).
For point B(6, 5), the reflection would be B'(6, -5).
For point C(-2, 2), the reflection would be C'(-2, -2).
The reflected points A', B', and C' match the coordinates given for the congruent triangle, thus confirming the triangles are congruent using the reflection rule over the x-axis.
What is the value of a for the following circle in general form? x^2+y^2+ax+by+c=0
The 'a' in the equation refers to the coefficient influencing the horizontal shift of a circle's center. To find 'a', you often need specifics about the circle, such as its center or radius. When such information is provided, the quadratic formula can be used to solve it.
Explanation:The given equation x2+y2+ax+by+c=0 represents the general form of a circle equation. The value of 'a' is a coefficient that impacts the horizontal shift of the circle along the x-axis. Unfortunately, without specific values attached, it is impossible to directly calculate 'a'. Nevertheless, if the equation is compared to the completed square form of a circle equation, i.e., (x-h)2+(y-k)2=r2, you can ascertain that 'a' would be -2h, where h is the x-coordinate of the circle's center.
In specific examples, for instance, if a = 1, b = 0.0211, and c = -0.0211, we can solve for x using the quadratic formula -b ± √b² - 4ac divided by 2a yielding -0.0211 ± √(0.0211)2 − 4(1)(−0.0211)/2(1), where 'a', 'b', 'c' are the coefficients from the equation of a circle in its general form.
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8n^2-4(7m^3+5n^2)
help
PLZ HELP
The price of a technology stock was 9.83
yesterday. Today, the price fell to 9.72
. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
@nilbert
in the science center there were 236 butterflies in the fall and 128 more butterflies in the winter. in the spring ,there were 85 fewer butterflies .how many butterflies are in the science center now
A race car travels at a constant speed of 31m/s along a circular arc of radius 22m. What is the centripetal acceleration? a.) 1.41 m/s2 b.) 0.710 m/s2 c.) 43.7 m/s2 d.) 15.6 m/s2.
Answer:
C
The equation for this is a=v^2/r
when you plug in it is a=31^2/22=961/22=43.7m/s^2
Step-by-step explanation:
the angles formed by two perpendicular lines have a measure of
Find the value of x°
25°
85°
75°
105°
Tetsuo's savings account has a balance of $1192. After 22 years, what will the amount of interest be at 1.5% compounded annually?
a.
$2622.40
c.
$467.98
b.
$450.98
d.
$461.98
if 100 envelopes cost 70 cents, how much would 250 cost?
Which is a better buy? 20-ounce box of cereal for $3.60 or 28 ounce for $4.20?
Number of dinners = 125 Individual portion = 8 oz. Size of can = 32 oz. Number of cans required = _____. 2
Answer:
Number of cans required = 32
Step-by-step explanation:
Number of dinners = 125
Individual portion size of each dinner = 8 oz.
Total portion size of all the dinners = 125 × 8
⇒ Total portion size of all the dinners = 1000 oz.
Size of one can = 32 oz.
[tex]\text{Number of cans required = }\frac{\text{Total portion size of dinner}}{\text{Size of each can}}\\\\\implies\text{Number of cans required = }\frac{1000}{32}\approx 31.25[/tex]
Hence, Number of cans required = 32
Divide the amounts in the ratio stated £40 in the ratio 2:3
Dr. Adama is a botanist . She measures thhe daily hieght of a particular variety of sunflower,Sunny yellow,begining when thesunflower is 60 days old. At 60 days,the height of the sunflower is 205 centimeters. Dr. Adama finds that the growty rate ofthis sunflower is 2 centimeters per day after the first 60 days.
MATH HELP PLEASE HELP!!! XPERTS +
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If a equals James's present age write an expression for his age seven years from now
Jean adds 35 and 9. How can she solve using only equations to model her thinking?
At Central High School, there are 60 football players and 25 cheerleaders. What is the ratio of cheerleaders to football players? please slimlfy
Answer:
The answer is 5:12
Step-by-step explanation:
which of the following must be true?
check ALL that apply,
About 70% of Earth's surface is covered by water. If the diameter of earth is about 12,750km, find the area not covered by water to the nearest 100,000km^2.
an investment is expected to pay 5 per year compounded continuously. If you want the value of the investment to be $700,000 after 25 years, how much should you invest initially? Round to the nearest dollar
PLZ HELP.ONLY ANSWER IF YOUR 100% SURE. which equation represents a non proportional situation? A. y = 4x B. y = 5x - 1 C. y = 16x D. y = -8x
PLZZZ HELP!!!! 15POINTS
In the coordinate plane, what is the length of the line segment that connects points at (4, −1) and (9, 7) ? Enter your answer in the box. Round to the nearest hundredth. units
Answer:
9.43 is correct I've taken the test on k-12
Step-by-step explanation:
the average number of minutes that it took jermaine to complete his homework assignments for a week in september was 27 minutes, with a mean absolute deviation of 4 minutes. with this informatiom, which statement is true. Pls someone help me
Answer:
On average, Jermaine spent between 23 and 31 minutes on his homework.
On average, Jermaine spent between 23 and 31 minutes on his homework.
What is Mean absolute deviation?This is defined as the average of the absolute deviations from a central point.
In this scenario, the mean absolute deviation
= 27 ± 4 minutes
= 27+4 or 27 - 4
= 31 or 23 minutes.
Therefore we can infer that Jermaine spent between 23 and 31 minutes on his homework.
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Evaluate the expression 28C14
the school library has 97 books about space. John and 3 of his friends, each check out 9 books. how many space books are still in school libarary?
Can someone help me please!!
what is the probability of randomly picking a girl without brown hair
Triangle DEF is congruent to triangle GHI. Side DE measures 52. Side GH measures 10x-13. Side HI measures 12x-16 find the value of x