Answer:
x = [tex]\sqrt{10}[/tex]
Step-by-step explanation:
The 2 right triangles and the outer right triangle are similar, then ratios of corresponding sides are equal, that is
[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )
x² = 10 ( take the square root of both sides )
x = [tex]\sqrt{10}[/tex]
Answer:
√10
Step-by-step explanation:
taking the smallest triangle;
y as the hypotenuse, x as the adjacent side, 2 as the opposite side
then: y²=x²+2²
x²=y²-2²= y²-4
taking the other triangle;
z as the hypotenuse, x as the adjacent side, 5 as the opposite side
then: z²=x²+5²
x²=z²-5² = z²-25
take both equations,
x²= y²-4
x²= z²-25
y²-4= z²-25
y²= z²-25+4 = z²-21
taking the biggest triangle (whole triangle);
(5+2)= 7 as the hypotenuse, z as the adjacent side, y as the opposite side
then; 7²=z²+y²
z²+y²=7² =49
but y²= z²-21;
z²+y² =49
z²+ z²-21 =49
2z²-21=49
2z²=49+21= 70
z²= 70/2 = 35
take x²= z²-25
x²= 35-25 = 10
[tex]x = \sqrt{10} [/tex]
Questionnnnnnnnnnnn :
Answer:
where!!
where's the question!!
The area of a rectangular trampoline is 135 ft. The length of the trampoline is 6 ft
greater than the width of the trampoline. This situation can be represented by the
equation w2 +6w
135 = 0.
What is the width of the trampoline, in feet?
5 feet
15 feet
6 feet
9 feet
The width of the given trampoline is 9 feet, and which area is 135 square feet.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The equation w² +6w -135 = 0 can be factored as (w+15)(w-9) = 0.
Therefore, the solutions for w are w = -15 or w=9.
Since the width of the trampoline cannot be negative, we can conclude that the width of the trampoline is 9 feet.
To confirm this, we can calculate the length of the trampoline using the given information that the length is 6 feet greater than the width:
length = width + 6 = 9 + 6 = 15 feet
Then we can verify that the area is indeed 135 ft²:
area = length x width = 15 x 9 = 135 ft²
Therefore, the width of the trampoline is 9 feet.
Learn more about the Area of the rectangle here:
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Find the slope and y-intercept of the line in each graph.
Answer:
1. slope = 2; y-intercept = 3
2. slope = [tex]\frac{-2}{3}[/tex]; y-intercept = 2
let me know if you need the math
The cost of admission to a popular music concert for 4 children and an adult was
$54. The admission for 8 children and 3 adults in another music concert was $122.
How much was the admission for each child and adult?
Answer:
Child = $ 10.00
Adult = $ 14.00
Step-by-step explanation:
Find each angle measure
Step-by-step explanation:
m<AEC= 180-152= 28°
m<CEB= 180-28=152°
m<FEC= 90+28=118°
WILL GIVE BRANLIEST
Which number line shows the solution to11x + 14 < –8?
Answer: i think its D because X < -2 hopefully i helped
Step-by-step explanation:
Which of these two triangles appear to be similar
Answer:
Triangle I and II
Step-by-step explanation:
Hope my solution helps you and don't forget to help me with my maths questions....Check my questions..
Answer:
I and II
Step-by-step explanation:
the first one because the one on the far left is just smaller than the one in the middle
The first transformation for this composition is [________], and the second transformation is a translation down and to the right. a 90° rotation about point L a 270° rotation about point L a 90° rotation about point P a 270° rotation about point P
Answer:
D. A 270-degree rotation about point P
Step-by-step explanation:
I hope this helps!!!
1. Evaluate each algebraic expression.
c. 3b - 5
for b = -2
for b = 3
for b = 9
I need the answer
Answer:
-11, 4, and 22
Step-by-step explanation:
Expression: 3b-5
when b=-2
Expression: 3(-2)-5=-11
When b=3
Expre; 3(3)-5=4
When b=9
Expre; 3(9)-5=22
Evaluate the expression for b = 22.
–3b =
Answer:
-66
Step-by-step explanation:
-3b=-3×22=-66
...........
which is greater -1/4 or -1/2
Answer:
-1/4 > -1/2
Step-by-step explanation:
-1/2 = -2/4
and -1/4 is greater than -2/4
An Italian restaurant buys 15 pounds of onions every 2 weeks. how many bags of onions will the restaurant buy in 7 weeks?
Which of the following is a quadratic function?
f(x) = 0x + 3x - 6
f(x) = 2x + 5
f(x) = 3 - 4x^2
f(x) = 2^x
Answer:
f(x) = 3 - 4x^2
Step-by-step explanation:
Quadratic Equation form: f(x) = ax² + bx + c
Quadratic function has a x (variable) with and exponent of 2.
They also leave a curve line on a coordinate plane. As you can see on the picture. ↓
Peanuts worth $2.25 a pound were mixed with cashews worth $3.25 a pound to produce a mixture worth $2.65 a pound. How many pounds of each are needed to produce 35pounds of mixture?
Answer:
14lbs cashews
21lbs peanuts
Step-by-step explanation:
What is the value of x in the equation 3/4 x + 24 = x − 12 ?
Answer:
x = 144
Step-by-step explanation:
3/4x + 24 = x - 12
3/4x - x = -12 - 24
3/4x - 4/4x = -36
-1/4x = -36
x = -36/-1/4
x = 144
PLEASE HELP ME! I WILL MARK BRAINLIEST IF YOU ARE CORRECT
Answer:
B
Step-by-step explanation:
The value of the polynomial for x = 3 is the value of P(3)
P(3) = 2(3)³ - 7(3)² + 7(3) - 12 = 54 - 63 + 21 - 12 = 0 → B
Ok these are the question I NEED help on (don’t show work
Answer:
Step-by-step explanation:
6. H - (-2,2)
14. F - Quadrant IV
15. B - All points have y > 1
Answer:
6. H (-2, 2)
14. F (Quadrant IV)
15. B (All points have y [tex]\geq[/tex] 1)
Step-by-step explanation:
Picture below shows that all points are in y [tex]\geq[/tex] 1 (for number 15)
my question is in the screenshot
Answer:
C
Step-by-step explanation:
5 x 3 = 15 and 15 x 2 = 30 ft
solve this plz????? thx
Answer:
AOD i think
Step-by-step explanation:
Answer:
angle aob
Step-by-step explanation:
Can someone please help me with this expanding brackets problem ? Quick ! I will give 20 points :)
Step-by-step explanation:
[tex](x + 1)(x - 6)(x + 7)[/tex]
[tex] {x}^{2} - 6x + x - 6(x + 7)[/tex]
[tex] {x}^{3} + 7x - 6 {x}^{2} - 42x + {x}^{2} + 7x - 42[/tex]
[tex] {x}^{3} - 5x {}^{2} - 35x - 42[/tex]
Write the equation of the line of the line that passes through the point (3, -6) and a slope of 5
Answer:
y=5x-21
Step-by-step explanation:
Jim can make 2 cupcakes (the y value) with one cup of flour (the x value). How many cupcakes can he make with
5 cups of flour?
8/9 divided by 5? :’)
Answer:
8/45 or 0.177...... (the seven continues forever).
Step-by-step explanation:
8/9 ÷ 5
First, turn 5 into a fraction. That will be 5/1
8/9 ÷ 5/1
When you're dividing fractions, you flip the second fraction and turn the division sign to a mutiplication sign
8/9 ÷ 1/5
8/9 * 1/5
Now you multiply. We will multiply the numerator and then the denominators through since there are no common factors.
8 * 1/9 * 5
8/45
A high school teacher gives three regular exams during a semester and one final exam at the end of the semester. A student’s final grade is found by taking of the student’s three regular exam scores and then adding 40% of the student’s final exam score. Sophia earned scores of 78, 92, and 80 on the three regular exams and a score of 90 on the final exam. What is Sophia’s final grade?
20 POINTS
WILL MARK BRAINLIEST
SOLVE THESE PLEASE
Answer:
1a) x = 5, y = 2
b) x = 2, y = -1
2a) x = 2, y = 1
b) x = -0.3, y = 2.4
3 don’t know sorry
4a) x = -7, y = 3
b) x = -3.2, y = -23.8
Step-by-step explanation:
Sam bought a football jersey on sale for 40% off. He paid $30, and it was originally priced at $45 was he charged the correct amount
Answer:
No, because he is being charged more than what the discount is.
45/40=18 $18 $45-$18=$27 He should be charged $27.
(x+3)^2 = x^2-3(1-x)
Helppppppppp fasttttttt pleaseeeeeee!!!!!!!
Answer:
(3x⁷)⁴ = 3⁴x²⁸ = 81x²⁸
because (3x⁷)⁴ = cx^n
=> c = 81
n = 28
Please help!!! I will mark someone brainliest!
Answer:
a = 8, b = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given the exponential function
f(x) = a[tex]b^{x}[/tex]
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then
a = 8
f(x) = 8[tex]b^{x}[/tex]
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
[tex]\frac{18}{8}[/tex] = b² , that is
b² = [tex]\frac{9}{4}[/tex] ( take the square root of both sides )
b = [tex]\sqrt{\frac{9}{4} }[/tex] = [tex]\frac{3}{2}[/tex]
Thus
f(x) = 8[tex](\frac{3}{2}) ^{x}[/tex]
what is 10x 10 x 10 x 10
Answer:
10^4 or 10000
Step-by-step explanation:
The multiplication of 10x 10 x 10 x 10 is 10000.
We have given that the
10x 10 x 10 x 10
We have to find the multiplication of the above 10.
What is multiplication?Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division.
here we have
10 x10=100
10x100=1000
10x1000=10000
Therefore the multiplication of 10x 10 x 10 x 10 is 10000.
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