Answer:
Step-by-step explanation:
I think you mean a² + b² = c², not ca.
a = 10, c = 26
b² = c² - a² = 26² - 10² = 576
b = √576 = 24 ft
Write the equation of a quadratic function who has the vertex of (4,-7)
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
[tex]y=a(x-4)^2+(-7)[/tex]
[tex]y=a(x-4)^2-7[/tex]
The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.
Putting a=1, we get
[tex]y=(1)(x-4)^2-7[/tex]
[tex]y=(x^2-8x+16)-7[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=x^2-8x+9[/tex]
Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].
Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week. Which inequality represents the situation?
The inequality that represents this situation is x + y ≤ 8
Inequalities shows the non equal comparison between numbers or expressions.
Let x represent the number of small purses and y represent the number of big purses.
Given that She can make no more than 8 purses a week, hence:
x + y ≤ 8
The inequality that represents this situation is x + y ≤ 8
Find out more at: https://brainly.com/question/25285332
What is the radius of a circular lid with a diameter of 5 centimeters?
radius
Answer:
5/2 =
2.5
Step-by-step explanation:
A circle has radius 29.5 cm. What is the diameter?
Answer:
59cm
Step-by-step explanation:
Sierra has 24.48 ft. of ribbon. She will use all the ribbon to create 5 bows. About how much ribbon will she use on each bow?
Answer:
the answer is 4.8 brainy plss
Answer:
If all the bows are of equal size she will use 4.896 ft of ribbon for each bow
Step-by-step explanation:
24.48/5=4.896
Hope this helps :)
Given a function described as the graph below, what is y when x is 3?
WHERE IS THE GRAPH. there needs to be a graph to answer the question
Answer:6
Step-by-step explanation:
Uop
PLEASE HELP ME BRAINLIEST WILL BE GIVEN!!
This is an example of a random sample: Marley surveys her swim teammates about their favorite sport.
True
False
Answer:
False
Step-by-step explanation:
The people arent random
How many solutions does this system have?
->
2x-3y = 10
-4x+6y=-20
one
two
an infinite number
no solution
Answer: I think there is only one
Step-by-step explanation:
Answer:
an infinite number
Step-by-step explanation:
Let's solve for y for both equations.
[tex]2x-3y=10\\-3y=10-2x\\y=\frac{2}{3}x-\frac{10}{3}[/tex]
[tex]-4x+6y=-20\\6y=4x-20\\y=\frac{4}{6} x-\frac{20}{6}[/tex]
By reducing fractions we get:
[tex]y=\frac{2}{3}x- \frac{10}{3}[/tex]
These two equations are EXACTLY the same.
Therefore, this system has an infinite number amount of solutions.
Using desmos graphing calculator, you can't see both lines because they're exactly the same line.
k(k + 1)(k + 2) – 3k(k + 1)
Need a step-by-step guide on how to factor this completely
Answer:
Step-by-step explanation:
k(k+1)(k+2) - 3k(k+1)
k and (k+1) are common to both terms.
k(k+1)(k+2) - 3k(k+1) = k(k+1)[(k+2) - 3] = k(k+1)(k-1)
A student is solving the problem X to the power of 2+10x+ __=16+ __ my method of completing the square. What number should the student add to both sides?
A) 4
B)5
C) 25
D) 16
Answer: C) 25
Step-by-step explanation:
x²+10x+ __=16+ __
Only the square of 5, 5², which is 25, can make the two factors plus equal to 10x, so we need to add 25.
8,626 round to the nearest thousand?
Answer:
9000
Step-by-step explanation:
Find the length (in centimeters) of a 90° arc in a circle where the diameter measures 70 centimeters.
Answer:
[tex]\frac{1}{4}[/tex]×2[tex]\pi[/tex]r=17.5[tex]\pi[/tex]
Step-by-step explanation:
this stuff is kinda hard please help me find the answer
Answer: 1 is D and 2 is B I think
Step-by-step explanation: 1 is D because 59.2 + (-84.7) because D is the same thing as 59.2-84.7, just written differently. 2 is B because the longer line resembles -15 and the smaller line resembles 6. -9 is circled because its supposed to add up to -9, hence why it would be 6+(-15)=-9. Hope this helped :)
What is the range of the following exponential function?plz help asap
Answer:
0.23
Step-by-step explanation:
PROCESSING BASE ANGLES
OF AN ISOSCELES TRIANGLE
Answer:
m<A = 69°
m<C = 69°
Step-by-step explanation:
From the question given above, the following data were obtained:
AB = AC
m<B = 42°
m<A =?
m<C =?
Since:
AB = AC
Therefore,
m<A = m<C
A + B + C = 180 (sum of angles in a triangle)
C + 42 + C = 180
Collect like terms
C + C = 180 – 42
2C = 138
Divide both side by 2
C = 138 / 2
C = 69°
Finally, we shall determine m<A. This can be obtained as follow:
m<A = m<C
m<C = 69°
Therefore,
m<A = 69°
Marco bounces a basketball 45 times in 60 seconds.at the rate approximately how many times will Marco bounce the ball 150 seconds?
Answer:
Approximately : 135
Step-by-step explanation:
60sec x 3 = 180sec
45 x 3 = 135
can somebody help me?
Answer:
1 and 2
Step-by-step explanation:
Find the measure of the angle indicated in bold
A right triangle with vertices P(-3,9) Q(-3,5) R(-7,5) is reflected on the y-axis then the image is rotated 180 degrees about the origin. What are the new coordinates of the right triangle?
I cant understand
help with number 5 please
Answer:
60
Step-by-step explanation:
Can someone please help meeeee
Answer:
45°
Step-by-step explanation:
The angle with measure of 9x and the angle with measure of 3x are supplementary
9x + 3x = 180°
12x = 180 divide both sides by 12
x = 15
The angle with measure of 9x and angle a are supplementary as well
9x + a = 180
9×15 + a = 180
135 + a = 180 subtract 135 ftom both sides
a = 45°
If a translation maps zl onto ZK, which of the following statements is true? G HS 1 K НІ is twice the measure of 2JK: GH is twice the measure of 2GJ: Triangles AGHI and AGJK are not similar. OCH = J
9514 1404 393
Answer:
(d) ∠H ≅ ∠J
Step-by-step explanation:
We already know that ∠G is congruent to itself. If we show (by translation or other means) that ∠I ≅ ∠K, then we know that ΔGHI ~ ΔGJK. The third angle in each triangle will be congruent, too.
∠H ≅ ∠J
_____
The problem is concerned with angles, so the first two answer choices are irrelevant. If two angles are shown congruent, the triangles are congruent by AA similarity, so the third answer choice is incorrect.
Answer: D
Step-by-step explanation:
Can you please help me
no xdxdxdxdxdxxdxdxdxdxdxdxdxdxddxd
leeeeeeeeetttt'ssssssssss gooooooo gurl get your groov
Answer:
yaaa groooov
Step-by-step explanation:
PLSSS HELP Due in 5 mins!!!
Answer:
a 15
b 42
c 12
trust me
Individual bottles of water are filled by a machine at a factory with an amount of water that is approximately normal with a mean of 505\,\text{mL}505mL505, start text, m, L, end text and a standard deviation of 10\,\text{mL}10mL10, start text, m, L, end text. A random sample of 161616 bottles is selected for a quality inspection. What is the probability that the mean amount of water in these 161616 bottles \bar x x ˉ x, with, \bar, on top is within 5\,\text{mL}5mL5, start text, m, L, end text of the population mean?
Answer:
P(500< xˉ <510)≈0.95
Step-by-step explanation:
Khan Academy
x-8= -12 what is x in the equation
Answer:
-4
Step-by-step explanation:
Answer:
x = -4
Step-by-step explanation:
Isolate the variable x
x - 8 = -12
To isolate the variable, add 8 to both sides (this cancels the 8 out on the left side)
x - 8 + 8 = -12 + 8
x + 0 = -4
x = -4
Can 4 in, 2 in., 8 in make a triangle.
Which figures always have right angles
Answer:
rectangles, squares, and right triangles
HELP ME PLEASEEEEEEEE
Answer:
25
Step-by-step explanation: