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2 years ago

If the ordered pairs(a,3)and (2,b) belong to the set {(x,y):y=2x-3},find the value of a,b

Mathematics

1 answer:

denis23 [38]2 years ago

3 0

Answer:

a=3

b=1

Step-by-step explanation:

3=2a-3 => a=3

b=2*2-3 = 1

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On the children's baseball field shown, the distance from the pitcher's mound to home plate is 50 feet. The distance from the pi

nikdorinn [45]

The Pythagorean theorem is with right triangles. You know that a right triangle is formed from first to the mound to home-plate. So when you draw it out and label the sides you have one missing side. the Pythagorean theorem is a^2 + b^2 = C^2. the c side is always the slanted side. In this case the c side would be from homeplate to first base. So you just have to solve now. (33)^2 + (50)^2 = c^2. So 1089 + 2500 = c^2. Add together and you get: 3589 = c^2. Lastly take the square-root of 3589 and that is the answer. 59.9. So the answer is 59.9 feet.

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3 years ago

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FK+M=A-UK solve for K

Elanso [62]

FK+M=A-UK
FK-UK=A-M
(F-U)K=A-M
K=(A-M)/(F-U)

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3 years ago

In a study of 100 new cars, 29 are white. Find and g, where

sleet_krkn [62]

Question

In a study of 100 new cars, 29 are white. Find p and q , where p is the proportion of new cars that are white.

Answer:

p = 0.29 and q = 0.71

Step-by-step explanation:

Given

Total new cars = 100

White new cars = 29

Required

Determine p and q

From the question;

p represents white new cars

Hence;

$p = 29$

Note that;

$p + q = 100$

Substitute 29 for p

$29 + q = 100$

$29 - 29 + q = 100 - 29$

$q = 100 - 29$

$q = 71$

The proportion of p is calculate by dividing p by the total number of new cars (Same process is done for q)

For proportion of p

$Proportion,\ p = \frac{p}{new\ cars}$

$Proportion,\ p = \frac{29}{100}$

$Proportion,\ p = 0.29$

For proportion of q

$Proportion,\ q = \frac{q}{new\ cars}$

$Proportion,\ q = \frac{71}{100}$

$Proportion,\ q = 0.71$

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3 years ago

Given: mTP= 70°,m∠EPT = 54° Find: Angles of △SPT

Zigmanuir [339]

Answer:

The Angles of △SPT are

$m\angle STP=35\°$

$m\angle SPT=126\°$

$m\angle PST=19\°$

Step-by-step explanation:

step 1

Find the measure of angle PET

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle PET=\frac{1}{2}(arc\ PT)$

substitute the given values

$m\angle PET=\frac{1}{2}(70\°)$

$m\angle PET=35\°$

step 2

Find the measure of angle PTE

we know that

The sum of internal angles of a triangle must be equal to 180 degrees

In the triangle PET

$m\angle PET+m\angle EPT+m\angle PTE=180\°$

substitute the given values

$35\°+54\°+m\angle PTE=180\°$

$m\angle PTE=180\°-89\°=91\°$

step 3

Find the measure of angle STP

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle STP=\frac{1}{2}(arc\ TP)$

substitute the given values

$m\angle STP=\frac{1}{2}(70\°)=35\°$

step 4

Find the measure of angle SPT

we know that

$m\angle SPT+m\angle EPT=180\°$ ----> by supplementary angles

$m\angle SPT+54\°=180\°$

$m\angle SPT=180\°-54\°=126\°$

step 5

Find the measure of angle PST

we know that

The sum of internal angles of a triangle must be equal to 180 degrees

In the triangle SPT

$m\angle STP+m\angle SPT+m\angle PST=180\°$

substitute the given values

$35\°+126\°+m\angle PST=180\°$

$m\angle PST=180\°-161\°=19\°$

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2 years ago

100° 100° Find the value of X Please help asap

Viktor [21]

Answer:

it's 100 Cuz of vertically opposite angle's law

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3 years ago

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If the ordered pairs(a,3)and (2,b) belong to the set {(x,y):y=2x-3},find the value of a,b​

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