Answer:
a) Because both sides are perfect squares b) (x-4)² – 28 = 8
(x–4)² = 36
Square root both sides
√(x–4)² = √36
x–4 = 6
x= 10
Step-by-step explanation:
(x–4)(x–4) = 36
x² – 8x+ 16 = 36
x² – 8x – 20 = 0
(x² + 2x)( –10x – 20) = 0
x(x+2) – 10(x+2) = 0
(x+2)(x–10) = 0
x = 10 or –2
x = 10
a. If the power of x is 2 then the value of x will be 2.
b. The values of the x are 6 and -2.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
Given
The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].
a. If the power of x is 2 then the value of x will be 2. And in the equation the power of x is 2 then the solution for the x will be two.
b. The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].
On simplifying
Add 28 both the sides, we have
[tex]\rm (x- 4)^2 = 36[/tex]
Taking square root both the sides, then we have
[tex]\rm x- 4 = \pm 6[/tex]
Add 4 both the sides,
[tex]\rm x = \pm 6+ 4\\\\x = 6 + 4, - 6 + 4\\\\x = 10 , -2[/tex]
Thus, the values of x are 6 and -2.
More about the simplification link is given below.
https://brainly.com/question/12616840
Devon, Tony, and Nate were playing a board game. Devon wins when the spinner lands on green. Nate wins when the spinner lands on blue. Tony wins when the spinners lands on red. Which spinner should be used to make the game fair?
Answer:
c
Step-by-step explanation:
In this diagram use pythagoras theorem to calculate the length of the marked side
Answer:
[tex] 5\sqrt{7} [/tex]
Step-by-step explanation:
using Pythagoras theorem
[tex]d = \sqrt{ {20}^{2} - {(15)}^{2} } \\ [/tex]
[tex]d = 5 \sqrt{7} [/tex]
Step-by-step explanation:
Hyponues²= Base²+Height ²
20cm²=Base²+15cm²
400cm-225cm=H²
175=H²
5√7 Answer
There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from
the basket, what is the probability they will all be green apples?
Answer: 1/7
Step-by-step explanation: 12/22 • 11/21 • 10/20
The probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
As we know,
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from the basket.
Total outcomes = number of ways of selecting fruits in the basket
Total fruits = 10 + 12 = 22
Total number of outcomes = C(22, 3) = 1540
Total number of favourable outcomes = C(12, 3) = 220
Probability = 220/1540
Probability = 0.142
Thus, the probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.
Learn more about the probability here:
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y=-2
4x-3y=18
solve for x and y
No need to solve for y. The value of y is given. See it?
To find x, plug the given value of y into
4x - 3y = 18.
4x - 3(-2) = 18
4x + 6 = 18
4x = 18 - 6
4x = 12
x = 12/4
x = 3
Answer: y = -2 and x = 3.
Understand?
Answer:
X=3 y=-2
Step-by-step explanation:
4x-3y=18
4x-3(-2)=18
4x+6=18
4×=18-6
4x=12
divide both sides by 4
X=3
20POINTS! Determine if two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ELSE I WILL REPORT.
Answer:
both each side of each triangle is equal
use alphabets to mark each edge of the triangles and prove congruency
number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does it take the size of the sample to double ? growth rato parameter of 48% per hour
Answer:
It takes 1.77 hours for the population to double.
Step-by-step explanation:
Equation for population growth:
The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
Growth rato parameter of 48% per hour
This means that [tex]r = 0.48[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = P(0)(1+0.48)^t[/tex]
[tex]P(t) = P(0)(1.48)^t[/tex]
How many hours does it take the size of the sample to double?
This is t for which P(t) = 2P(0). So
[tex]P(t) = P(0)(1.48)^t[/tex]
[tex]2P(0) = P(0)(1.48)^t[/tex]
[tex](1.48)^t = 2[/tex]
[tex]\log{(1.48)^t} = \log{2}[/tex]
[tex]t\log{1.48} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.48}}[/tex]
[tex]t = 1.77[/tex]
It takes 1.77 hours for the population to double.
I need to find the area!
Plz help me find the answer!
NEED NOW WILL NAME BRAINLYIST
Determine if the three side lengths given in each problem can create a triangle or not.
a. 12 cm, 14 cm, 20 cm
b. 4 m, 8 m, 12 m
c. 23 cm, 12 cm, 13 cm
Answer:
a) yes
b) no
c) yes
Step-by-step explanation:
the sum of the 2 shorter sides must be longer than the longest side
Answer:
a and c can make a triangle.
Step-by-step explanation:
the sum of 2 sides must be greater than the last side, all the way around. so 12+14 is better than 20. but 4+8 is not better than 12
please help im stuck on this question
Answer:
(12,0)
Step-by-step explanation:
slope m=
[tex]\frac{54-36}{27-22} =\frac{18}{5}[/tex]
[tex]y-36=\frac{18}{5}(x-22)\\\\5y-180=18x-396\\\\y=\frac{18x}{5} -\frac{46}{5}[/tex]
[tex]0=\frac{10}{5}x-\frac{46}{5}\\\\x=\frac{216}{18} =12[/tex]
hope it helps...
have a great day
Find the value of x in the isosceles triangle below then find the measure of the base angle.
x = __°
Measure of 1 base angle = __°
Answer: [tex]x=13[/tex], one base angle measures [tex]74^{\circ}[/tex]
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so:
5x + 9 = 8x - 30 [congruent angles have equal measure]9 = 3x - 30 [subtract 5x from both sides]39 = 3x [add 30 to both sides]x = 13 [divide both sides by 3]Hence, the measure of one base angle is [tex]5(13)+9=\boxed{74^{\circ}}[/tex]
C = 172.7 cm
Use the formula, c = ad, and x = 3.14, to find the diameter of this circle whose circumference equals 172.7 cm.
A. 55 cm
B. 27.5 cm
O c. 542.278 cm
D. 5.5 cm
O E. 86.35 cm
Answer:
B
Step-by-step explanation:
T or F: If you consume more calories, you must decrease your physical activity to have energy
balance.
(not math but for pe)
Answer:
F
Step-by-step explanation:
When your losing weight after consuming more calories, you need to increase physical activity to increase the number of calories your body uses for energy.
Suppose we know that a confidence interval is (71,95), with a sample mean of x¯=83.
What is the margin of error?
Give just a number for your answer. For example, if you found that the margin of error was 2, you would enter 2.
Provide your answer below:
Answer:
12
Step-by-step explanation:
Recall :
Confidence interval = xbar ± margin of error
Xbar = 83
Confidence interval = (71, 95)
We could use either the lower or upper boundary to obtain an integer for the margin of error :
Using the upper boundary :
Upper boundary = Xbar + margin of error
95 = 83 + margin of error
Margin of Error = 95 - 83
Margin of Error = 12
Weisen Sie bei folgenden Rechnungsbeträgen die Mehrwertsteuer aus!
a) 124,30 € b) 69,30 c) 12,50 €
Answer:
hj0
Step-by-step explanation:
what is the meaning of kiss
Answer:
wrong subject but, kiss means i guess to lock lips in a passionate way or in a greeting way. In some countries kissing someone on the cheek or past the cheek is a sign of a greeting i believe.
In short kissing means a way to show compassion or love.
Between which values does 111 lie?
A. 7 and 8
B. 8 and 9
C. 9 and 10
D. 10 and 11
E .11 and 12
Answer: D: 10 and 11
Step-by-step explanation:
The Sq Rt of 111 is 10.5356537529 which falls between 10 and 11
Answer:
D: 10 and 11
Step-by-step explanation:
10.5356537529 10^11
and in standard notation:
105,356,537,529
Find the area of the figure. Round to the nearest tenth.
6.5
3
O 14.6 units2
O 22.4 units2
15.0 units2
O 18.2 units2
Answer:
Area total = 14.6
Step-by-step explanation:
The composite area from left to right is
a half circle plus a rectangle minus a triangle
Area total = π r²/2 + bh - 1/2(bh)
= π (d/2)²/2 + bh - 1/2(b)(h triangle use Pythagorean theorem
= π (3/2)²/2 + 5(3) - 1/2(3)(√(3² - 1.5²) h triangle = c² - (b/2)²
= π 1.5²/2 + 15 - 1/2(3)(2.598)
Area total = 14.637 units²
The number of miles that Kiki cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Kiki cycled?
Answer:
36
Step-by-step explanation:
Find each measurement indicated. Round your answers to the nearest tenth.
Answer:
52.08°
Step-by-step explanation:
Law of sine: [tex]\frac{93}{25}[/tex]=[tex]\frac{x}{14}[/tex]
93*14=25x
1302=25x
52.08=x
Find the circumference of the circle and round to the nearest tenth
Answer:
circumference of circle = 2×pi×r
circumference of circle = 2×3.14×12.7
circumference of circle = 79.756 in
Jennifer made a baby blanket that is 2 feet by 3 feet. She has a queen size blanket that is 6 feet by 9 feet. How does the area of the baby's blank t compare to the size of the queen sized blanket?
The area of the queen sized blanket is 9 times bigger than the area baby blanket.
What is the area of a rectangle?
The area of a rectangle is the multiplication of it's length and breadth.
Here, the area of the baby blanket = 2 × 3 square feet = 6 square feet.
The area of the queen sized blanket = 6 × 9 square feet = 54 square feet.
Therefore, the ratio of the baby blanket : queen sized blanket
= 6 : 54
= 1 : 9
Hence, area of the queen sized blanket is 9 times bigger than the area baby blanket.
Lear more about the area of the rectangle here: https://brainly.com/question/24408520
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5th grade math. correct answer will be marked brainliest
Answer:
7/12 teaspoons
fraction
Step-by-step explanation:
Amount of salt that would be used = 1[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{3}[/tex]
Convert [tex]1\frac{3}{4}[/tex] to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
(1 x 4) + 3 = [tex]\frac{7}{4}[/tex]
7/4 x 1/3 = 7/12
what is 2x10^4 in standard notation
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
You are teaching the concept of estimation with multiplication. Some of the students are struggling. Which of the following is the best approach?
A cone has a radius of 7 m and a height of 18 m . What is the approximate volume of the cone to the nearest tenth? Use 3.14 for pie
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
Slope
Step-by-step explanation:
Hope it helps you in your learning process
Please help, find the value of y
Answer
Step-by-step explanation:
chord makes or arc make 120° at the center.
sum of other two angles of triangle=180-120=60
because they are equal.
so each angle=60/2=30°
tangent line makes angle 90° with radius .
so 30+y=90
y=90-30=60°
What is the area of a square that has 2/4 units on each side
Answer:
1/4 of 0.25
Step-by-step explanation:
2/4 x 2/4 = 1/4
A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. explain answer please
9514 1404 393
Answer:
C = 95°D = 72°F = 108°Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)
Using these relations, we have ...
C = 180° -E = 180° -85° = 95°
D = 144°/2 = 72°
F = 180° -D = 180° -72° = 108°
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Angles and XWY and STR
Step-by-step explanation:
These two angels are alternate exterior angels because:
- They are on different sides of the transversal (the line intersecting the two parallel lines)
- They have the same angle measure
- They are exterior, meaning they are on the outside, not inside (interior)
Hope this helps!!! :)