Write the equation of the line that passes through (−3, 5) and (2, 10) in slope-intercept form.y = x + 8
y = x − 8
y = −5x − 10
y = −5x + 20

Answers

Answer 1

Answer: m = (y2 -y1)/(x2-x1)
m = (10 -5 )/(2+3)
m = 5 / 5
m = 1

using y = mx + b passing through (−3, 5)
5 = 1(-3) + b
5 + 3 = b
so b = 8

equation

y = x + 8

answer: y = x + 8 (first choice)

Answer 2

Answer:

first you have to find the slope by doing y2-y1 / x2-x2 which will be 10-5 over 2-(-3)

Simplify and you get 5/5 which is one

Now solve for d by plugging a set of points back in and you get 8=d

so y=x+8

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Marina saved $80 from her babysitting job. She wants to buy some shirts and pants that are on sale at her favourite store for $17 each. How many items of clothing can she buy?

Answers

Answer:

Step-by-step explanation:

Total amount of money that Marina saved from her babysitting job is $80.

She wants to buy some shirts and pants that are on sale at her favourite store for $17 each. To determine how many items of clothing that she can buy, we would divide the total amount that she saved by the cost of each clothing. It becomes

80/17 = 4.7.

Since the number of clothing must be whole number, the number of clothing that she can buy would be 4

Faye and Andrew have written down the same negative number.Faye squares the number then multiplies by 2 and adds 4.
Andrew multiples the number by 21 then subtracts the result from 40.
They both finish with the same answer. What was the number?

Answers

x - the number

Faye squares the number: x²
then multiplies by 2: 2x²
and adds 4: 2x²+4

Andrew multiplies the number by 21: 21x
then subtracts the result from 40: 40-21x

They both finish with the same answer, so the results are equal.
$2x^2+4=40-21x \n2x^2+21x+4-40=0 \n2x^2+21x-36=0 \n2x^2+24x-3x-36=0 \n2x(x+12)-3(x+12)=0 \n2x-3=0 \ \lor \ x+12=0 \n2x=3 \ \lor \ x=-12 \nx=(3)/(2) \ \lor \ x=-12$

The number is negative so x=-12.

The number is -12.

Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?

Answers

The expected value of the points earned on a single roll in the game would take into account the probability of the numbers of the cube and whether or not they're prime. If the cube is a dice with numbers 1 to 6, then the expected value of the points would be:
P = 1(1/6) + 2(1/6) + 3(1/6) - 4(1/6) + 5(1/6) - 6(1/6)
P = 1/6 or 0.1667

At the veterinarian's office, 4 animals out of every 5 seen were cats. A total of 35 animals were seen.a. How many cats were seen?

b. The ratio of male cats seen was 6:7. How many of the cats seen were males?

Answers

a: 28 cats were seen, to find the answer you multiply the ratio, 4:5 by 7 so that the total animals is 35, 28:35
b:24 cats seen were males, you do this problem similar to the other one. Multiply the ratio by 4 so that the total number of cats is 28, 24:28

MATH QUESTIONS!!!
Geometry Questions? (20 PTS)

Answers

Questions 1-3
A triangle is:
either scalene, isoceles, or equilateral, and
either acute, right, or obtuse.

Question 1: The triangle is right b/c it has a right angle.
The triangle is isoceles because it has two congruent sides.
Right isoceles triangle

Question 2: The triangle is obtuse b/c it has an obtuse angle. (>90°)
The triangle is isoceles b/c it has two congruent sides.
Obtuse isoceles triangle

Question 3: All angles in a triangle add up to 180°. Let's find the 3rd angle.
180 - (80 + 60) = 180 - 140 = 40°
Congruent angles $\doublearrow$ congruent sides, so...
If the angles are all different, the sides are all different and the triangle is scalene. It is also acute because all angles are <90°.
Acute scalene triangle

Question 4
An exterior angle of a triangle = the sum of its remote interior angles.
what does this mean? In this case, it means that
4x + 10 = 50 + x + 5
The reason this works: <ACD is supplementary to <ACB, so they must both add up to 180. Likewise, the angles of the triangle <ACB, <BAC, and <ABC all add up to 180. Since both = 180, we can set them equal (substitution prop)
m<ACD + m<ACB = m<ACB + m<BAC + m<ABC
subtract m<ACB from each side
m<ACD = m<BAC + m<ABC
now let's solve our equation.
4x + 10 = 50 + x + 5
4x + 10 = 55 + x
subtract x from each side
3x + 10 = 55
subtract 10 from each side
3x = 45
divide by 3
x = 15
the measure of the interior angle = (x+5)° = (15+5)° = 20°
the measure of the exterior angle = (4x+10)° = (4(15)+10)° = (60+10)° = 70°

Question 5
As we can see from the diagram...
AB = CD, AD = BC
<ABD = <BDC, <ADB = <CBD
Also obvious from the reflexive prop...
BD = BD
And because the three angles add up to 180° and we know that two of them are the same, the third must be the same as well.
<A = <C
(three points don't need specified because only one angle is possible with this vertex)

Question 6
Because the angles in a triangle add up to 180°...
m<A + m<ADB + m<ABD = 180°
We know that m<A = 60°...
60 + m<ADB + m<ABD = 180°
We know that m<DBC = 70°, and from the diagram, <ADB is cong. to <DBC.
Therefore m<ADB = 70°.
60 + 70 m<ABD = 180°
130 + m<ABD = 180°
m<ABD = 50°

Answer:

lo que el o ella dijo

Step-by-step explanation:

What is the answer to 9/8= g+1/2