What is the slope of the line
Answer:
-3
Step-by-step explanation:
y1-y2/x1-x2 = slope
Plug in coordinates (-1,0) and (0,-3)
-3-0/0-(-1)
-3/1
-3
Answer:
-3
Step-by-step explanation:
Pick two points on the line
(-1,0) and (0,-3)
You can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3-0)/(0- -1)
= (-3-0)/(0+1)
= -3/1
= -3
What is this expression in simplest form? (x+2)/(4x^2+5x+1) * (4x+1)/(x^2-4)
Answer:
below
Step-by-step explanation:
that is the solution above
The simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].
What is Algebraic expression?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Here, given expression;
[tex]\frac{x+2}{4x^2+5x+1} X \frac{4x+1}{x^2-4}[/tex]
[tex]\frac{x+2}{4x^2+4x +x+1} X \frac{4x+1}{x^2-2^2}[/tex]
[tex]\frac{x+2}{4x(x+1)+1(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]
[tex]\frac{x+2}{(4x+1)(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]
[tex]\frac{1}{(x+1)(x-2)}[/tex]
Thus, the simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].
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Can you please write a paragraph using this Key Terms: amphibians larvae salamanders emerge habitat dormant migrate escort
Answer:
DESCRIPTION: Large for a modern amphibian, the male California tiger salamander can reach up to 8.5 inches in length, the female up to seven. Adults have protruding eyes and long tails, and their slick bodies are mostly black with brilliant yellow spots and stripes on their back, sides, and tail. Larvae are greenish gray in color.
HABITAT: California tiger salamanders can be found in annual grasslands and oak woodlands with hot, dry summers and cool, rainy winters. For most of the year, they reside in underground burrows created and abandoned by small mammals. They need ephemeral pools for breeding.
RANGE: Historically these salamanders ranged throughout California's Sacramento and San Joaquin River valleys, the surrounding foothills, and the lower elevations of the state's central coast. Now their distribution is limited to disjunct vernal pool complexes in the northern part of their historical range. The northernmost and southernmost populations, residing in Sonoma and Santa Barbara counties respectively, are genetically distinct and geographically isolated from others.
MIGRATION: Once fall and winter rains begin, adult tiger salamanders emerge from underground hibernation habitat in mammal burrows and migrate to breeding ponds. After breeding, adults disperse back to uplands habitat to retreat underground. Adults may migrate long distances between summering and breeding sites: salamanders have been found along roads more than 1.2 miles from any known breeding ponds. Juvenile salamanders dispersing from ponds have been trapped more than 1,200 feet from their natal ponds.
BREEDING: Following early-winter rains, California tiger salamanders nocturnally emerge from their burrows and lay their eggs in newly formed vernal pools. After the eggs are fertilized internally, a female can lay up to 1,300, which she deposits individually or in small batches. Adults move back to their terrestrial burrows after breeding.
LIFE CYCLE: Within two weeks of egg fertilization, salamander larvae hatch, remaining in their natal pools for two to three months. By late spring or summer, once they reach metamorphosis, juveniles roam up to two miles away to hibernate in terrestrial habitat. Salamanders are thought to have lifespans of 10 years or more.
FEEDING: For the first six weeks of life, juveniles eat small crustaceans, algae, and mosquito larvae. Adult salamanders prey on aquatic insects, invertebrates, and tadpoles of Pacific tree frogs, California red-legged frogs, western toads, and spadefoot toads.
THREATS: The California tiger salamander is threatened by habitat destruction due to urban and agricultural development, habitat fragmentation, pesticides, hybridization with nonnative tiger salamanders, introduced diseases, and predation by nonnative species.
POPULATION TREND: Surveys showed that by 1993, the California tiger salamander had been extirpated from at least half of its historic localities. By 2004, only six tiger salamander meta-populations within 48 breeding ponds remained in Santa Barbara County, and by 2005, only seven viable tiger salamander breeding sites remained in Sonoma County.
Step-by-step explanation:
4. Multiply the following fractions and reduce to the lowest form.
(a)9/4 8/81
(b)20 x 4/5
What is an equation of the line that passes through the points (-5,6) and (7,6)?
Please help me solve my problem!!!
MATH QUESTION HELP ME PLS, KINDA URGENT!!
I need to resolve this with the elimination method
x +y +z = 13
x–z = −2
−2x +y = 3
how-?
Answer:
x= 2
y= 7
z= 4
Step-by-step explanation:
Equation 1: x+y+z=13
Equation 2: x-z= -2
Equation 3: -2x+y=3
Add equation 2 and 1
(x+y+z)+(x-z)= 13 -2
2x+y= 11
Add this to equation 3
(-2x+y)+(2x+y)= 11+3
2y= 14
y= 7
Plug in y= 7 to equation 3
-2x+(7)= 3
-2x+7=3
-2x= -4
x= 2
Plug x=2 into equation 2
2-z= -2
4 = z
if x:y=5:3 then (8x-5y): (8x+5y)=?
ASAP I HAVE A MATH FINAL PLEASE
<2 and <6 -----> Neither
<1 and <4 ------> vertical
Hope it helps you...
What are the solutions of the equation x2 + 5x + 6 = 0? A. −3, 2 B. 6, −1 C. 6, 1 D. −3, −2
Answer:
D. -3,-2
Step-by-step explanation:
Let [tex]x^{2} +5x+6=0=(x+2)(x+3)\\[/tex], then [tex]x+2=0[/tex] or [tex]x+3=0[/tex], thus [tex]x=-2[/tex] or [tex]x=-3[/tex]
The size of each exterior angle of a regular polygon is 18 degrees
a) work out how many sides the polygon has
b) work out the sum of the interior angles of the polygon
Answer:
a, 20 side polygond b, the sum of the interior angles is 162°
At what percent rate of compound interest p.a will the compound interest on rs343000be rs169000 in 3 years
Answer:
The money was invested at an interest of 14.28% per year.
Step-by-step explanation:
To determine at what percent rate of compound interest per year will the compound interest on $ 343000 be $ 169000 in 3 years, the following calculation must be performed:
343,000 x (1 + X / 1) ^ 3x1 = 343000 + 169000
343,000 x 1 + X ^ 3 = 512,000
1 + X ^ 3 = 512,000 / 343,000
1 + X ^ 3 = 1.4927
1 + 0.14286 ^ 3 = 1.4927
1.4927 = 1.4927
X = 0.14286 x 100 = 14.28%
Therefore, the money was invested at an interest of 14.28% per year.
Help please, por favor, s'il vous plait in all the language I can say please. I really need your help
Answer:
192
Step-by-step explanation:
16^2+b^2= 20^2
256+b^2=400
b^2=144
b= 12
height = 12
1/2bh= Area of a triangle
12*32=384
384/2= 192
Determinar el ángulo NPO, si el ángulo PON es igual a 132 grados y el segmento NP es bisectriz del ángulo P y N.
Aquí les dejo una pista, la respuesta correcta es: 24 grados.
The measure of ∠NPO is equivalent to 24°.
What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral anglesGiven is that if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.
Now -
OP = ON
So, this means that ∠OPN = ∠ONP = x° {say}
We can write -
∠OPN + ∠ONP + 132° = 180°
2x = 48°
x = 24°
Therefore, the measure of ∠NPO is equivalent to 24°.
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{
Question in English is as follows -
Determine the angle NPO, if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.
Here's a hint, the correct answer is: 24 degrees.
}
Evaluate the function f(x) = 3x2− 2x for x= 4.
The value of the function f(x) = 3x2− 2x for x= 4 is _ .
Answer:
40
Step-by-step explanation:
f(4) = 3(4²) - 2(4)
= 3(16) - 8
= 48 - 8
= 40
when x=4, f(x) = 40
What effects do the values of a and b have on the graph of the linear relation y = ax + b?
what is the height of this triangle?
Answer:
XY (height) is approximately 20.8 feet
Step-by-step explanation:
let h = XY
tan60° = h/12
h = 12·tan60°
h = 20.78 ft
Someone I need help plzzz
Answer:
sorry this question is confusing
Step-by-step explanation:
Find the difference. Show your solutions as two steps: First rewrite the subtraction as addition; then carry out the addition to find the answer. 8 − 5 = 8 + 8+5 Incorrect: Your answer is incorrect. = 45 Incorrect: Your answer is incorrect.
Answer:
[tex]8 - 5 = 3[/tex]
Step-by-step explanation:
Given
[tex]8 - 5 =[/tex]
Required
Solve
Step 1: Write as addition
Simply change the positions of -5 and (+)8
[tex]8 - 5 = -5 + 8[/tex]
Step 2: Add
[tex]8 - 5 = 3[/tex]
Can someone please help asap thank you
Answer:
1. -10 > x
2. No, because the more you raise the ticket price, the less people will attend.
3. C) -x - 6 > -3.5
4. you have to do yourself
Step-by-step explanation:
1. if you solve for 5 - 3x > 35 you get x < -30, which means that any answer will be less than -10
At the frozen yogurt shop, Colin pays $3.28 for his treat, which weighs 8 and 1/2 ounces. What is the unit cost (dollars per ounce)? Round to the nearest cent. Write your answer as a decimal
Answer:
39 cents
Step-by-step explanation:
3.38÷8.5=0.39
Population since 2000 has been approximately linear. In 2006 the population was 1148 and in 2014 the population was 1348. What is the rate of population growth?
Answer:
2.03% Rate of Population Growth.
Step-by-step explanation:
According to the Question,
Given, In 2006 the population was 1148 and in 2014 the population was 1348.
2006⇒2014 (8 Years)
So, [tex]1148 * (1+\frac{x}{100} )^{8} = 1348[/tex]
[tex](1+\frac{x}{100} ) = \sqrt[8]{1.1742}[/tex]
(1 + x/100) = 1.0202
x/100 = 0.020276
x = 2.03% Rate of Population Growth
h(x)=sqrt(x) and g (x)=4x^2+4, find h(g(sqrt(a))))
[tex]\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}[/tex]
what is the result of 5.021 + 0.099
Answer:
5.12
Step-by-step explanation:
5.021+.099 is the problem
we can ignore the 5 for now. .021+.099= .120
now we bring back the 5
5.120=5.12
If Allison wants to find 80% of 630, which table should she use?
20%
20%
Percent
20%
20%
20%
Total
100%
25%
Percent
25% 25%
25%
Total
100%
40%
Percent
40%
40%
Total
100%
Percent
8% 8% 8% 8% 8% 8% 8% 8% 8% 8% 8% 8%
Total
100%
Answer:
A. the first one
Step-by-step explanation:
The first one
What is the equation for (12,1) (9,9)
Answer:
y = -8/3x + 33
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 1 / 9 -12
8 / -3
= -8/3
y = -8/3x + b
1 = -8/3(12) + b
1 = -32 + b
33 = b
The table shows the number y calories burned in x minutes.
Find the missing y-value that makes the table represent a
linear function.
50
100 150
Input, x 0
Output,
O
у
24
36
У
Answer:
12
Step-by-step explanation:
The equation
2x(50) = 24
x(50) = 12
Answer:
y = 12
Step-by-step explanation:
36 - 24 = 12.
24 calories were burned in 100 minutes. 36 calories were burned in 150 minutes. That means that in 50 minutes (150 - 100) 12 calories were burned.
In circle D, EDH LEDG.
1. Determine the length of JG using
circle D.
Show your work and write out your
justification.
E
57°
F
D
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.
C
H
66°
G
2.
G H
In OK, m_HKG=x+10 and
m IKT=3 2 D
Answer:
hey mate
the question is not understandable
Use SOH CAH TOA to find the missing side
b. 9.2
Step-by-step explanation:
cos(52) × 15 gives you the adjacent which is 9.2
16) One exterior angle of an isosceles triangle is 70°. a) Find the possible measures of the other two exter angles. b) How many answers can you find? Explain.
Answer:
The other exterior angles must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.
Step-by-step explanation:
For an exterior angle, we know that an exterior angle added with its corresponding interior angle is equal to 180 degrees. Thus, 180 = 70 + i, or the interior angle. i is then 110 degrees.
An isosceles triangle has two equal angles. As a triangle can only be 180 degrees. we cannot have 2 of i, as doing so would be equal to 220 degrees. Therefore, for the other two interior angles, they must be equal. Representing o, their angles could be put into an equation of 110 + 2o = 180, so o = 35.
For the other exterior angles, their corresponding interior angles are equal to 35 each, so they must be 145 degrees. There is only one answer because there cannot be 2 of 110 degree angles in a triangle, so the other two exterior angles must correspond to the 2 equal angles in the triangle.
